# NCERT Class 11-Math՚S: Exemplar Chapter – 15 Statistics Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 36:

Consider the first positive integers. If we multiply each number by and then add to each number, the variance of the numbers so obtained is

(A)

(B)

(C)

(D)

Question 37:

The following information relates to a sample of size : The variance is

(A)

(B)

(C)

(D)

Question 38:

Coefficient of variation of two distributions are and , and their arithmetic means are and respectively. Difference of their standard deviation is

(A)

(B)

(C)

(D)

Question 39:

The standard deviation of some temperature data in is . If the data were converted into , the variance would be

(A)

(B)

(C)

(D)

## Fill in the Blanks in Exercises from 40 to 46

Question 40:

Coefficient of variation

Question 41:

If is the mean of n values of , then is always equal to ________. If has any value other than , then

Question 42:

If the variance of a data is , then the standard deviation of the data is ________.

Question 43:

The standard deviation of a data is ________ of any change in origin, but is ________ on the change of scale.

Independent

Question 44:

The sum of the squares of the deviations of the values of the variable is ________ when taken about their arithmetic mean.

Minimum

Question 45:

The mean deviation of the data is ________ when measured from the median.