{"id":107136,"date":"2021-08-07T19:06:00","date_gmt":"2021-08-07T13:36:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=107136"},"modified":"2021-08-18T13:32:35","modified_gmt":"2021-08-18T08:02:35","slug":"ncert-solutions-for-class-11-statistics-chapter-7","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/","title":{"rendered":"Class 11 Statistics NCERT Solutions for Chapter 7 2021: Download PDF"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-109440\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/07\/Statistics-chapter7-1.jpg\" alt=\"NCERT Solutions for Class 11 Statistics Chapter 7\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/07\/Statistics-chapter7-1.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/07\/Statistics-chapter7-1-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>NCERT Solutions for Class 11 Statistics Chapter 7: <\/strong>When it comes to the Class 11 curriculum, statistics is a critical topic. To do well in this topic, students must pay attention and practice <a href=\"https:\/\/www.kopykitab.com\/NCERT-Solution-For-Class-11-Statistics-Ebook-by-Panel-Of-Experts\"><strong>NCERT Solutions For Class 11 Statistics<\/strong><\/a> Chapter 7 often. Correlation is the seventh chapter of the Statistics textbook for Class 11. The association between two variables over a specific time period is known as correlation. It assesses the degree of covariation.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e791d7b9013\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" 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ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#download-free-pdf-for-ncert-solutions-for-class-11-statistics-chapter-7\" title=\"Download Free PDF for NCERT Solutions for Class 11 Statistics Chapter 7\">Download Free PDF for NCERT Solutions for Class 11 Statistics Chapter 7<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#ncert-solutions-class-11-statistics-chapter-7-overview\" title=\"NCERT Solutions Class 11 Statistics Chapter 7: Overview\">NCERT Solutions Class 11 Statistics Chapter 7: Overview<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" 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NCERT solutions for Class 11 Statistics Chapter 7\">FAQ (Frequently Asked Questions): NCERT solutions for Class 11 Statistics Chapter 7<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#how-many-questions-are-there-in-the-ncert-solutions-for-class-11-statistics-for-chapter-7\" title=\"How Many Questions are There in the NCERT Solutions for Class 11 Statistics for Chapter 7?\">How Many Questions are There in the NCERT Solutions for Class 11 Statistics for Chapter 7?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#how-many-sums-are-there-in-ncert-solutions-class-11-statistics-chapter-7\" title=\"How Many Sums are There in NCERT Solutions Class 11 Statistics Chapter 7?\">How Many Sums are There in NCERT Solutions Class 11 Statistics Chapter 7?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#explain-the-principal-methods-for-calculating-the-coefficient-of-correlation\" title=\"Explain the principal methods for calculating the coefficient of correlation.\">Explain the principal methods for calculating the coefficient of correlation.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#what-is-the-difference-between-negative-and-positive-correlations\" title=\"What is the difference between negative and positive correlations?\">What is the difference between negative and positive correlations?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/#define-the-line-of-best-fit\" title=\"Define the line of best fit.\">Define the line of best fit.<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-11-statistics-chapter-7-pdf\"><\/span><strong>NCERT Solutions for Class 11 Statistics Chapter 7 PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/07\/NCERT-Solutions-for-Class-11-Economics-Statistics-Chapter-7.pdf\" target=\"_blank\" rel=\"noopener\" data-wplink-edit=\"true\">NCERT Solutions For Statistics Class 11 Chapter 7<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/07\/NCERT-Solutions-for-Class-11-Economics-Statistics-Chapter-7.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"download-free-pdf-for-ncert-solutions-for-class-11-statistics-chapter-7\"><\/span><strong>Download Free PDF for NCERT Solutions for Class 11 Statistics Chapter 7<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: center;\"><a style=\"width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; color: #ffffff; background: #ff4500;\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/07\/NCERT-Solutions-for-Class-11-Economics-Statistics-Chapter-7.pdf\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-class-11-statistics-chapter-7-overview\"><\/span><strong>NCERT Solutions Class 11 Statistics Chapter 7: Overview<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The NCERT answers are presented in a question-and-answer format. The answers were written using the CBSE exam&#8217;s marking scheme as a guide. Referring to these responses can assist a student in gaining an understanding of how to properly write their answers.<\/p>\n<p>Chapter 7 of Statistics for Class 11 If you don&#8217;t understand correlation thoroughly, it can be a difficult chapter to navigate. As a result, students should pay special attention to this chapter in Statistics. There are a total of 18 questions in this chapter&#8217;s activity. Every answer in the NCERT Solutions for Class 11 Statistics for Chapter 7 has been presented in a student-friendly manner. They can grasp the concept at one go and remember it for longer.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-ncert-solutions-for-class-11-statistics-chapter-7\"><\/span>Access NCERT Solutions For Class 11 Statistics Chapter 7<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Q1 :The unit of correlation coefficient between height in feet and weight in kgs is<\/strong><br \/><strong>(i) kg\/feet<\/strong><br \/><strong>(ii) percentage<\/strong><br \/><strong>(iii) non-existent<\/strong><br \/><strong>Answer :<\/strong><br \/>As there is non-existent of correlation between the height in feet and weight in kilograms, so the unit of correlation between the two is zero.<\/p>\n<p><strong>Q2 :The range of simple correlation coefficient is<\/strong><br \/><strong>(i) 0 to infinity<\/strong><br \/><strong>(ii) minus one to plus one<\/strong><br \/><strong>(iii) minus infinity to infinity<\/strong><br \/><strong>Answer :<\/strong><br \/>The range of simple correlation coefficient is from (-) 1 to (+) 1<\/p>\n<p><strong>Q3 :If r<sub>xy<\/sub>\u00a0is positive the relation between X and Y is of the type<\/strong><br \/><strong>(i) When Y increases X increases<\/strong><br \/><strong>(ii) When Y decreases X increases<\/strong><br \/><strong>(iii) When Y increases X does not change<\/strong><br \/><strong>Answer :<\/strong><br \/>When the variables Y and X share positive relationship (i.e. when Y and X both increases simultaneously), then the value of r<sub>xy<\/sub>\u00a0is positive.<\/p>\n<p><strong>Q4 :If r<sub>xy<\/sub>\u00a0= 0 the variable X and Y are<\/strong><br \/><strong>(i) linearly related<\/strong><br \/><strong>(ii) not linearly related<\/strong><br \/><strong>(iii) independent<\/strong><br \/><strong>Answer :\u00a0\u00a0<\/strong>The value of r<sub>xy<\/sub>\u00a0becomes 0 when the two variables are not linearly related to each other. It may happen that both the variables may be non-linearly related to each other. It does not necessarily imply that both are independent of each other.<\/p>\n<p><strong>Q5 : Of the following three measures which can measure any type of relationship<\/strong><br \/><strong>(i) Karl Pearson\u2019s coefficient of correlation<\/strong><br \/><strong>(ii) Spearman\u2019s rank correlation<\/strong><br \/><strong>(iii) Scatter diagram<br \/>Answer :<\/strong><br \/>Scatter diagram can measure any type of relationship whether the variables are highly related or not at all related. Just by looking at the diagram, the viewer can easily conclude the relationship between the two variables involved.<\/p>\n<p>On the other hand, Karl Pearson\u2019s coefficient of correlation is not suitable for the series where deviations are calculated from assumed mean. Likewise, Spearman\u2019s rank correlation also disqualifies to measure any kind of relationship as its domain is restricted only to the qualitative variables (leaving quantitative variables).<\/p>\n<p><strong>Q6 :If precisely measured data are available the simple correlation coefficient is<\/strong><br \/><strong>(i) more accurate than rank correlation coefficient<\/strong><\/p>\n<p><strong>(ii) less accurate than rank correlation coefficient<\/strong><\/p>\n<p><strong>(iii) as accurate as the rank correlation coefficient<\/strong><br \/><strong>Answer :<\/strong><br \/>Generally, all the properties of Karl Pearson\u2019s coefficient of correlation are similar to that of the rank correlation coefficient. However, rank correlation coefficient is generally lower or equal to Karl Pearson\u2019s coefficient.<\/p>\n<p>The reason for this difference between the two coefficients is because the rank correlation coefficient uses ranks instead of the full set of observations that leads to some loss of information. If the precisely measured data are available, then both the coefficients will be identical.<\/p>\n<p><strong>Q7 :Why is r preferred to covariance as a measure of association?<\/strong><br \/><strong>Answer :<\/strong><br \/>Although correlation coefficient is similar to the covariance in a manner that both measure the degree of linear relationship between two variables, but the former is generally preferred to covariance due to the following reasons.<br \/>1. The value of the correlation coefficient (r) lies between 0 and 1. Symbolically \u20131 \u2264\u00a0<em>r<\/em>\u00a0\u2264 +1<br \/>2. The correlation coefficient is scale free.<\/p>\n<p><strong>Q8 :Can r lie outside the -1 and 1 range depending on the type of data?<\/strong><br \/><strong>Answer :<\/strong><br \/>No, the value of r cannot lie outside the range of -1 to 1. If r = \u2013 1, then there exists perfect negative correlation and if r = 1, then there exists perfect positive correlation between the two variables. If at any point of time the calculated value of r is outside this range, then there must be some mistake committed in the calculation.<\/p>\n<p><strong>Q9 :Does correlation imply causation?<\/strong><br \/><strong>Answer :<\/strong>\u00a0 No, correlation does not imply causation. The correlation between the two variables does not imply that one variable causes the other. In other words, cause and effect relationship is not a prerequisite for the correlation. Correlation only measures the degree and intensity of the relationship between the two variables, but surely not the cause and effect relationship between them.<\/p>\n<p><strong>Q10 :When is rank correlation more precise than simple correlation coefficient?<\/strong><br \/><strong>Answer :<\/strong>\u00a0Rank Correlation method is more precise than simple correlation coefficient when the variables cannot be measured quantitatively. In other words, rank correlation method measures the correlation between the two qualitative variables.<\/p>\n<p>These variable attributes are given the ranks on the basis of preferences. For example, selecting the best candidate in a dance competition depends on the ranks and preferences awarded to him\/her by the judges. Secondly, the rank correlation method is preferred over the simple correlation coefficient when extreme values are present in the data. In such case using simple correlation coefficient may be misleading.<\/p>\n<p><strong>Q11 :Does zero correlation mean independence?<\/strong><br \/><strong>Answer :\u00a0<\/strong>\u00a0Correlation measures the linear relationship between the two variables. So, r being 0 implies the absence of linear relationship. But they may be non-linearly related. Hence, if two variables are not correlated, it does not necessarily follow that they are independent.<\/p>\n<p><strong>Q12 :Can simple correlation coefficient measure any type of relationship?<\/strong><br \/><strong>Answer :<\/strong>\u00a0 No, the simple correlation coefficient cannot measure any type of relationship. The simple correlation coefficient can measure only the direction and magnitude of linear relationship between the two variables. It cannot measure non-linear relationship like quadratic, trigonometric, cubic, etc.<\/p>\n<p>Therefore, in such cases, the purview of simple correlation coefficient falls short. For example, the simple correlation coefficient may depict that X and Y are not correlated in the equation X= Y2, hence it may be concluded that both the variables are independent, but such conclusion may be wrong.<\/p>\n<p><strong>Q13 :Collect the price of five vegetables from your local market every day for a week. Calculate their correlation coefficients. Interpret the result.<\/strong><br \/><strong>Answer :<\/strong>\u00a0 This question is about multivariate correlation that is out of syllabus<\/p>\n<p><strong>Q14 :Measure the height of your classmates. Ask them the height of their benchmate. Calculate the correlation coefficient of these two variables. Interpret the result.<\/strong><br \/><strong>Answer:<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>Hight of Classmate<\/strong><br \/><strong>X<\/strong><\/td>\n<td><strong>Height of Benchmate<\/strong><br \/><strong>Y<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a067<\/strong><\/td>\n<td><strong>\u00a065<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a056<\/strong><\/td>\n<td><strong>\u00a066<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a065<\/strong><\/td>\n<td><strong>\u00a057<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a068<\/strong><\/td>\n<td><strong>\u00a067<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a072<\/strong><\/td>\n<td><strong>\u00a068<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a072<\/strong><\/td>\n<td><strong>\u00a069<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a069<\/strong><\/td>\n<td><strong>\u00a070<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a071<\/strong><\/td>\n<td><strong>\u00a072<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"width: 100%;\" border=\"2\">\n<tbody>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a0X<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>Y<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>XY<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a0X<sup>2<\/sup><\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a0Y<sup>2<\/sup><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>67<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>65<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>4355<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>4489<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>4225<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a056<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a066<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a03696<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a03136<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a04356<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a065<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a057<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a03705<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a04225<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a03249<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a068<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a067<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a04556<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a04624<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a04489<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a072<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a068<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a04896<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a05184<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a04624<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a072<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a069<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a04968<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a05184<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a04761<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a069<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a070<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a04830<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a04761<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a04900<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><strong>\u00a071<\/strong><\/td>\n<td style=\"width: 19.821%;\"><strong>\u00a072<\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong>\u00a05112<\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong>\u00a05041<\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong>\u00a05184<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 21.867%;\"><img class=\"alignnone size-full wp-image-114712\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/3a.jpg\" alt=\"3a\" width=\"73\" height=\"27\" \/><\/td>\n<td style=\"width: 19.821%;\"><strong> <img class=\"alignnone size-full wp-image-114714\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/3b.jpg\" alt=\"3b\" width=\"65\" height=\"24\" \/><\/strong><\/td>\n<td style=\"width: 25.4476%;\"><strong> <img class=\"alignnone size-full wp-image-114715\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/3c.jpg\" alt=\"3c\" width=\"88\" height=\"24\" \/><\/strong><\/td>\n<td style=\"width: 16.4962%;\"><strong> <img class=\"alignnone size-full wp-image-114716\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/3d.jpg\" alt=\"3d\" width=\"87\" height=\"25\" \/><\/strong><\/td>\n<td style=\"width: 16.3683%;\"><strong> <img class=\"alignnone size-full wp-image-114717\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/3e.jpg\" alt=\"3e\" width=\"91\" height=\"27\" \/><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img class=\"alignnone size-full wp-image-114686\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1.jpg\" alt=\"1\" width=\"264\" height=\"389\" \/><\/p>\n<p><strong>Q15 :List some variables where accurate measurement is difficult.<\/strong><br \/><strong>Answer :<\/strong><br \/>The following are the some variables where the accurate measurement is difficult.<br \/>1. Temperature and number of people falling ill.<br \/>2. Change in temperature with the height of mountain.<br \/>3. Low rainfall and agricultural productivity<br \/>4. High population growth and degree of poverty<br \/>5. Number of tourists and change in the political atmosphere in India.<\/p>\n<p><strong>Q16 :Interpret the values of r as 1, -1 and 0.<\/strong><br \/><strong>Answer :<\/strong><br \/>The value of r being 1 implies that there is a perfect positive correlation between the two variables involved. A high value of r (i.e. close to 1) represents a strong positive linear relationship between the two variables.<br \/>If r = -1, then the correlation is perfectly negative. A negative value of r indicates an inverse relation.<\/p>\n<p>A low value of r (i.e. close to -1) represents a strong negative linear relationship between the variables. On the other hand, if the value of r = 0, then it implies that the two variables are uncorrelated to each other. But this should not be misunderstood as the variables are independent of each other. The value of r equals zero confirms only the non-existence of any linear relation but the variables may be non-linearly related to each other.<\/p>\n<p><strong>Q17 :Why does rank correlation coefficient differ from Pearsonian correlation coefficient?<\/strong><br \/><strong>Answer :\u00a0<\/strong>\u00a0Generally, all the properties of Karl Pearson\u2019s coefficient of correlation are similar to that of the rank correlation coefficient. However, rank correlation coefficient is generally lower or equal to Karl Pearson\u2019s coefficient. Rank correlation coefficient is generally preferred to measure the correlation between the two qualitative variables.<\/p>\n<p>These variable attributes are given the ranks on the basis of preferences. The difference between the two coefficients is due to the fact that the rank correlation coefficient uses ranks instead of the full set of observations that leads to some loss of information. If the precisely measured data are available, then both the coefficients will be identical. Secondly, if extreme values are present in the data, then the rank correlation coefficient is more precise and reliable and consequently its value differs from that of the Karl Pearson\u2019s coefficient.<\/p>\n<p><strong>Q18 : Calculate the correlation coefficient between the heights of fathers in inches (X) and their sons (Y)<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>X<\/strong><\/td>\n<td><strong>65<\/strong><\/td>\n<td><strong>66<\/strong><\/td>\n<td><strong>57<\/strong><\/td>\n<td><strong>67<\/strong><\/td>\n<td><strong>68<\/strong><\/td>\n<td><strong>69<\/strong><\/td>\n<td><strong>70<\/strong><\/td>\n<td><strong>72<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Y<\/strong><\/td>\n<td><strong>67<\/strong><\/td>\n<td><strong>56<\/strong><\/td>\n<td><strong>65<\/strong><\/td>\n<td><strong>68<\/strong><\/td>\n<td><strong>72<\/strong><\/td>\n<td><strong>72<\/strong><\/td>\n<td><strong>69<\/strong><\/td>\n<td><strong>71<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer:<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>X<\/strong><\/td>\n<td><strong>Y<\/strong><\/td>\n<td><strong>XY<\/strong><\/td>\n<td><strong>X<sup>2<\/sup><\/strong><\/td>\n<td><strong>Y<sup>2<\/sup><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a065<\/strong><\/td>\n<td><strong>\u00a067<\/strong><\/td>\n<td><strong>\u00a04355<\/strong><\/td>\n<td><strong>\u00a04225<\/strong><\/td>\n<td><strong>\u00a04489<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>66<\/strong><\/td>\n<td><strong>\u00a056<\/strong><\/td>\n<td><strong>\u00a03696<\/strong><\/td>\n<td><strong>\u00a04356<\/strong><\/td>\n<td><strong>\u00a03136<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a057<\/strong><\/td>\n<td><strong>\u00a065<\/strong><\/td>\n<td><strong>\u00a03705<\/strong><\/td>\n<td><strong>\u00a03249<\/strong><\/td>\n<td><strong>\u00a04225<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a067<\/strong><\/td>\n<td><strong>\u00a068<\/strong><\/td>\n<td><strong>\u00a04556<\/strong><\/td>\n<td><strong>\u00a04489<\/strong><\/td>\n<td><strong>\u00a04624<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a068<\/strong><\/td>\n<td><strong>\u00a072<\/strong><\/td>\n<td><strong>\u00a04896<\/strong><\/td>\n<td><strong>\u00a04624<\/strong><\/td>\n<td><strong>\u00a05184<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a069<\/strong><\/td>\n<td><strong>\u00a072<\/strong><\/td>\n<td><strong>\u00a04968<\/strong><\/td>\n<td><strong>\u00a04761<\/strong><\/td>\n<td><strong>\u00a05184<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a070<\/strong><\/td>\n<td><strong>\u00a069<\/strong><\/td>\n<td><strong>\u00a04830<\/strong><\/td>\n<td><strong>\u00a04900<\/strong><\/td>\n<td><strong>\u00a04761<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>\u00a072<\/strong><\/td>\n<td><strong>\u00a071<\/strong><\/td>\n<td><strong>\u00a05112<\/strong><\/td>\n<td><strong>\u00a05084<\/strong><\/td>\n<td><strong>\u00a05041<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong> <img class=\"alignnone size-full wp-image-114706\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2b.jpg\" alt=\"2b\" width=\"77\" height=\"27\" \/><\/strong><\/td>\n<td><strong> <img class=\"alignnone size-full wp-image-114707\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2c.jpg\" alt=\"2c\" width=\"73\" height=\"27\" \/><\/strong><\/td>\n<td><img class=\"alignnone size-full wp-image-114708\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2d.jpg\" alt=\"2d\" width=\"101\" height=\"27\" \/><\/td>\n<td><strong> <img class=\"alignnone size-full wp-image-114709\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2e.jpg\" alt=\"2e\" width=\"100\" height=\"27\" \/><\/strong><\/td>\n<td><strong> <img class=\"alignnone size-full wp-image-114710\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2f.jpg\" alt=\"2f\" width=\"96\" height=\"27\" \/><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img class=\"alignnone size-full wp-image-114704\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2a.jpg\" alt=\"2a\" width=\"264\" height=\"475\" \/><\/p>\n<p><strong>Q19 : Calculate the correlation coefficient between X and Y and comment on their relationship:<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>X<\/strong><\/td>\n<td><strong>-3<\/strong><\/td>\n<td><strong>-2<\/strong><\/td>\n<td><strong>-1<\/strong><\/td>\n<td><strong>1<\/strong><\/td>\n<td><strong>2<\/strong><\/td>\n<td><strong>3<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Y<\/strong><\/td>\n<td><strong>9<\/strong><\/td>\n<td><strong>4<\/strong><\/td>\n<td><strong>1<\/strong><\/td>\n<td><strong>1<\/strong><\/td>\n<td><strong>4<\/strong><\/td>\n<td><strong>9<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer:<\/strong><\/p>\n<table style=\"width: 100%; height: 414px;\" border=\"2\">\n<tbody>\n<tr style=\"height: 54px;\">\n<td style=\"height: 54px;\">X<\/td>\n<td style=\"height: 54px;\">Y<\/td>\n<td style=\"height: 54px;\">XY<\/td>\n<td style=\"height: 54px;\">X<sup>2<\/sup><\/td>\n<td style=\"height: 54px;\">Y<sup>2<\/sup><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\">\u00a0-3<\/td>\n<td style=\"height: 51px;\">\u00a09<\/td>\n<td style=\"height: 51px;\">\u00a0-27<\/td>\n<td style=\"height: 51px;\">\u00a09<\/td>\n<td style=\"height: 51px;\">\u00a081<\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\">\u00a0-2<\/td>\n<td style=\"height: 51px;\">\u00a04<\/td>\n<td style=\"height: 51px;\">\u00a0-8<\/td>\n<td style=\"height: 51px;\">\u00a04<\/td>\n<td style=\"height: 51px;\">\u00a016<\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\">\u00a0-1<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<td style=\"height: 51px;\">\u00a0-1<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\">1<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<td style=\"height: 51px;\">\u00a01<\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\">\u00a02<\/td>\n<td style=\"height: 51px;\">\u00a04<\/td>\n<td style=\"height: 51px;\">\u00a08<\/td>\n<td style=\"height: 51px;\">\u00a04<\/td>\n<td style=\"height: 51px;\">\u00a016<\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\">\u00a03<\/td>\n<td style=\"height: 51px;\">\u00a09<\/td>\n<td style=\"height: 51px;\">\u00a027<\/td>\n<td style=\"height: 51px;\">\u00a09<\/td>\n<td style=\"height: 51px;\">\u00a081<\/td>\n<\/tr>\n<tr style=\"height: 54px;\">\n<td style=\"height: 54px;\"><img class=\"alignnone size-full wp-image-114698\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1b.jpg\" alt=\"1b\" width=\"61\" height=\"27\" \/><\/td>\n<td style=\"height: 54px;\"><img class=\"alignnone size-full wp-image-114699\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1c.jpg\" alt=\"1c\" width=\"65\" height=\"27\" \/><\/td>\n<td style=\"height: 54px;\"><img class=\"alignnone size-full wp-image-114700\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1d.jpg\" alt=\"1d\" width=\"69\" height=\"27\" \/><\/td>\n<td style=\"height: 54px;\"><img class=\"alignnone size-full wp-image-114701\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1e.jpg\" alt=\"1e\" width=\"76\" height=\"27\" \/><\/td>\n<td style=\"height: 54px;\"><img class=\"alignnone size-full wp-image-114702\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1f.jpg\" alt=\"1f\" width=\"79\" height=\"27\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img class=\"alignnone size-full wp-image-114696\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/1a.jpg\" alt=\"1a\" width=\"264\" height=\"285\" \/><br \/>As the value of\u00a0<em>r<\/em>\u00a0is zero, so there is no linear correlation between\u00a0<em>X<\/em>\u00a0and\u00a0<em>Y<\/em><\/p>\n<hr \/>\n<p><strong>Q20 : Calculate the correlation coefficient between X and Y and comment on their relationship<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>X<\/strong><\/td>\n<td><strong>1<\/strong><\/td>\n<td><strong>3<\/strong><\/td>\n<td><strong>4<\/strong><\/td>\n<td><strong>5<\/strong><\/td>\n<td><strong>7<\/strong><\/td>\n<td><strong>8<\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong>Y<\/strong><\/td>\n<td><strong>2<\/strong><\/td>\n<td><strong>6<\/strong><\/td>\n<td><strong>8<\/strong><\/td>\n<td><strong>10<\/strong><\/td>\n<td><strong>14<\/strong><\/td>\n<td><strong>16<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer:<\/strong><\/p>\n<table style=\"width: 100%; height: 414px;\" border=\"2\">\n<tbody>\n<tr style=\"height: 54px;\">\n<td style=\"height: 54px;\"><strong>X<\/strong><\/td>\n<td style=\"height: 54px;\"><strong>Y<\/strong><\/td>\n<td style=\"height: 54px;\"><strong>XY<\/strong><\/td>\n<td style=\"height: 54px;\"><strong>X<sup>2<\/sup><\/strong><\/td>\n<td style=\"height: 54px;\"><strong>Y<sup>2<\/sup><\/strong><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\"><strong>1<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a02<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a02<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a01<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a04<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\"><strong>\u00a03<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a06<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a018<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a09<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a036<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\"><strong>\u00a04<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a08<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a032<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a016<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a064<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\"><strong>\u00a05<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a010<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a050<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a025<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a0100<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\"><strong>\u00a07<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a014<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a098<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a049<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a0196<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 51px;\">\n<td style=\"height: 51px;\"><strong>\u00a08<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a016<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a0128<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a064<\/strong><\/td>\n<td style=\"height: 51px;\"><strong>\u00a0256<\/strong><\/td>\n<\/tr>\n<tr style=\"height: 54px;\">\n<td style=\"height: 54px;\"><strong> <img class=\"alignnone size-full wp-image-114690\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/3.jpg\" alt=\"3\" width=\"69\" height=\"27\" \/><\/strong><\/td>\n<td style=\"height: 54px;\"><strong> <img class=\"alignnone size-full wp-image-114691\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/4.jpg\" alt=\"4\" width=\"65\" height=\"27\" \/><\/strong><\/td>\n<td style=\"height: 54px;\"><strong> <img class=\"alignnone size-full wp-image-114692\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/5.jpg\" alt=\"5\" width=\"85\" height=\"27\" \/><\/strong><\/td>\n<td style=\"height: 54px;\"><strong> <img class=\"alignnone size-full wp-image-114693\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/6.jpg\" alt=\"6\" width=\"83\" height=\"27\" \/><\/strong><\/td>\n<td style=\"height: 54px;\"><strong> <img class=\"alignnone size-full wp-image-114694\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/7.jpg\" alt=\"7\" width=\"80\" height=\"27\" \/><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img class=\"alignnone size-full wp-image-114688\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/2.jpg\" alt=\"2\" width=\"264\" height=\"499\" \/><br \/>As the correlation coefficient between the two variables is +1, so the two variables are perfectly positive correlated.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-other-ncert-chapters-solutions-of-class-11-statistics\"><\/span><strong>Access Other NCERT Chapters Solutions of Class 11 Statistics <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>You can download the PDF of NCERT Solutions Class 11 Accountancy for other chapters:<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-1\/\"><strong>Chapter-1 Introduction<\/strong><\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-2\/\"><strong>Chapter-2 Collection Of Data<\/strong><\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-3\/\"><strong>Chapter-3 Organisation Of Data<\/strong><\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-4\/\"><strong>Chapter-4 Presentation of Data<\/strong><\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-5\/\"><strong>Chapter-5 Measures of Central Tendency<\/strong><\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-6\/\"><strong>Chapter-6 Measures of Dispersion<\/strong><\/a><\/li>\n<\/ul>\n<ul>\n<li><strong>Chapter-8 Index Numbers<\/strong><\/li>\n<\/ul>\n<ul>\n<li><strong>Chapter-9 Use of Statistical Tool<\/strong><\/li>\n<\/ul>\n<p><strong>We have provided all the important above in the blog regarding the <a href=\"https:\/\/www.cbse.gov.in\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> NCERT Solutions of class 11 Statistics Chapter-7. If you have any queries, you can mention them in the comment section.<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faq-frequently-asked-questions-ncert-solutions-for-class-11-statistics-chapter-7\"><\/span><strong>FAQ (Frequently Asked Questions): NCERT solutions for Class 11 Statistics Chapter 7<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1626936938877\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-the-ncert-solutions-for-class-11-statistics-for-chapter-7\"><\/span><strong>How Many Questions are There in the NCERT Solutions for Class 11 Statistics for Chapter 7?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The 7th chapter in Class 11 NCERT Statistics solutions includes eighteen questions in total. These questions include objective, subjective, as well as numerical problems.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1626936983387\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-sums-are-there-in-ncert-solutions-class-11-statistics-chapter-7\"><\/span><strong>How Many Sums are There in NCERT Solutions Class 11 Statistics Chapter 7?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are three sums in the 7th chapter of NCERT solutions for Class 11 Statistics. Question 16, 17, and 18 are numerical problems.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1626937014670\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"explain-the-principal-methods-for-calculating-the-coefficient-of-correlation\"><\/span><strong>Explain the principal methods for calculating the coefficient of correlation.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The principal methods for calculating the coefficient of correlation are:<br \/>Scatter diagram method<br \/>Karl Person\u2019s coefficient of correlation<br \/>Spearman\u2019s rank correlation coefficient.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1626937047949\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-difference-between-negative-and-positive-correlations\"><\/span><strong>What is the difference between negative and positive correlations?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The distinction between negative and positive correlations is that in a positive correlation, variables move in the same direction, but in a negative correlation, they move in opposing directions.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1626940147118\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"define-the-line-of-best-fit\"><\/span><strong>Define the line of best fit.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The best fit line is one that travels through the scattered points and represents the majority of them. Half of the distributed dots should be on each side, roughly.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 11 Statistics Chapter 7: When it comes to the Class 11 curriculum, statistics is a critical topic. To do well in this topic, students must pay attention and practice NCERT Solutions For Class 11 Statistics Chapter 7 often. Correlation is the seventh chapter of the Statistics textbook for Class 11. The &#8230; <a title=\"Class 11 Statistics NCERT Solutions for Chapter 7 2021: Download PDF\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-11-statistics-chapter-7\/\" aria-label=\"More on Class 11 Statistics NCERT Solutions for Chapter 7 2021: Download PDF\">Read more<\/a><\/p>\n","protected":false},"author":250,"featured_media":107214,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413],"tags":[3570,76233,76483],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/107136"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/250"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=107136"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/107136\/revisions"}],"predecessor-version":[{"id":115466,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/107136\/revisions\/115466"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/107214"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=107136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=107136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=107136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}