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Question

# Which of the following alternatives is true? (i) The class midpoint is equal to: (a) The average of the upper class limit and the lower class limit. (b) The product of upper class limit and the lower class limit. (c) The ratio of the upper class limit and the lower class limit. (d) None of the above. (ii) The frequency distribution of two variables is known as (a) Univariate Distribution (b) Bivariate Distribution (c) Multivariate Distribution (d) None of the above (iii) Statistical calculations in classified data are based on (a) the actual values of observations (b) the upper class limits (c) the lower class limits (d) the class midpoints (iv) Range is the (a) difference between the largest and the smallest observations (b) difference between the smallest and the largest observations (c) average of the largest and the smallest observations (d) ratio of the largest to the smallest observation

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Solution

## (i) The option (a) is correct. 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. (ii) The option (b) is correct. 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. (iii) The option (d) is correct. 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. (iv) The option (a) is correct. Range is defined as the difference between the largest and the smallest observations. Algebraically, R = H – L Where, R denotes range H is the highest value L is the lowest value

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