Exercise 4: Basis of Classification<\/strong><\/p>\nStudents are taught how to segregate data based on location, quality, amount, and other factors while striving to grasp the process of data categorization. The way you divide data into groups is usually determined by the outcome you want to achieve.<\/p>\n
Exercise 5: Types of statistical Series<\/strong><\/p>\nStudents will need to grasp the numerous types of statistical series that they can generate after properly segregating and classifying data. It is the technique of arranging data in a specified sequence to make the analysis process more efficient.<\/p>\n
Exercise 6: Types of Frequency Distribution<\/strong><\/p>\nStudents will gain knowledge of the frequency distribution by studying several types of statistical series. They will learn about exclusive series, inclusive series, cumulative frequency, and other concepts in this section of the chapter. Students must complete the exercises in this part in order to better understand the lesson.<\/p>\n
<\/span>Access NCERT Solutions For Class 11 Statistics Chapter 3<\/span><\/h2>\n<\/span>1. The class midpoint is equal to:<\/span><\/h3>\n<\/span>(a) The average of the upper class limit and the lower class limit.<\/span><\/h3>\n<\/span>(b) The product of upper class limit and the lower class limit.<\/span><\/h3>\n<\/span>(c) The ratio of the upper class limit and the lower class limit.<\/span><\/h3>\n<\/span>(d) None of the above.<\/span><\/h3>\nThe option (a) is correct.<\/p>\n
The class midpoint is equal to the average of the upper class limit and the lower class limit. It is known by adding the values of upper and lower limits and dividing the total by 2.<\/p>\n
<\/span>2. The frequency distribution of two variables is known as<\/span><\/h3>\n<\/span>(a) Univariate Distribution<\/span><\/h3>\n<\/span>(b) Bivariate Distribution<\/span><\/h3>\n<\/span>(c) Multivariate Distribution<\/span><\/h3>\n<\/span>(d) None of the above<\/span><\/h3>\nThe option (b) is correct.<\/p>\n
The frequency distribution of two variables is known as Bivariate Frequency Distribution. In other words, Bivariate Frequency Distribution shows the series of statistical data having frequencies of two variables such as the data on income and expenditure of the households.<\/p>\n
<\/span>3. Statistical calculations in classified data are based on<\/span><\/h3>\n<\/span>(a) the actual values of observations<\/span><\/h3>\n<\/span>(b) the upper class limits<\/span><\/h3>\n<\/span>(c) the lower class limits<\/span><\/h3>\n<\/span>(d) the class midpoints<\/span><\/h3>\nThe option (d) is correct.<\/p>\n
The calculations in classified data or continuous series are based on the class midpoints. The items in a continuous series cannot be exactly measured. Consequently, the class midpoints are calculated.<\/p>\n
<\/span>4. Under Exclusive method,<\/span><\/h3>\n<\/span>(a) the upper class limit of a class is excluded in the class interval<\/span><\/h3>\n<\/span>(b) the upper class limit of a class is included in the class interval<\/span><\/h3>\n<\/span>(c) the lower class limit of a class is excluded in the class interval<\/span><\/h3>\n<\/span>(d) the lower class limit of a class is included in the class interval<\/span><\/h3>\nThe option (a) is correct.<\/p>\n
A series in which upper limit of one class becomes the lower limit of the succeeding class interval is called exclusive series. In such series, the frequencies of the lower limit are included in that particular class whereas the frequencies of the upper limit are excluded.<\/p>\n
<\/span>5. Range is the<\/span><\/h3>\n<\/span>(a) difference between the largest and the smallest observations<\/span><\/h3>\n<\/span>(b) difference between the smallest and the largest observations<\/span><\/h3>\n<\/span>(c) average of the largest and the smallest observations<\/span><\/h3>\n<\/span>(d) ratio of the largest to the smallest observation<\/span><\/h3>\nThe option (a) is correct.<\/p>\n
Range is defined as the difference between the largest and the smallest observations.<\/p>\n
Algebraically,<\/p>\n
R<\/em> = H<\/em> \u2013 L<\/em><\/p>\nWhere,<\/p>\n
R<\/em> denotes range<\/p>\nH<\/em> is the highest value<\/p>\nL<\/em> is the lowest value<\/p>\n
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