NDA Mathematics 13 April 2025 | Statistics Question 73 | Mathematics

Consider the following for the two (02) items that follow:
The sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as $\Sigma X = 200, \Sigma Y = 250, \Sigma X^2 = 900$ and $\Sigma Y^2 = 1400$

Which one of the following is correct?

Variance (X) > Variance (Y)

Variance (X) < Variance (Y)

Variance (X) = Variance (Y)

Cannot be determined from the given data

NDA Mathematics 13 April 2025

MCQ (Single Correct Answer)

+2.5

-0.833

Consider the following for the two (02) items that follow:
The sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as $\Sigma X = 200$, \Sigma Y = 250, \Sigma X^2 = 900 and \Sigma Y^2 = 1400$

Which one of the following statements is correct?

Coefficient of variation of X is strictly more than coefficient of variation of Y.

Coefficient of variation of X is strictly less than coefficient of variation of Y

Coefficient of variation of X is same as coefficient of variation of Y.

Coefficient of variation cannot be determined from the given data.

NDA Mathematics 13 April 2025

MCQ (Single Correct Answer)

+2.5

-0.833

The arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation and then divided by 20, then what is the new arithmetic mean?

2.25

3.5

4.25

5.5

NDA Mathematics 13 April 2025

MCQ (Single Correct Answer)

+2.5

-0.833

The standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the new standard deviation?

0.25

0.5

0.75

1.00

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