# 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)

**Answer: (A)**

**Question 37**:

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

(A)

(B)

(C)

(D)

**Answer: (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)

**Answer: (A)**

**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)

**Answer: (A)**

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

**Question 40**:

Coefficient of variation

**Answer**:

**Question 41**:

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

**Answer**:

**Question 42**:

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

**Answer**:

**Question 43**:

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

**Answer**:

Independent

**Question 44**:

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

**Answer**:

Minimum

**Question 45**:

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

**Answer**:

Least

**Question 46**:

The standard deviation is ________ to the mean deviation taken from the arithmetic mean.

**Answer**:

Greater than or equal