NDA 2019 Paper 1 | Statistics Question 65 | Mathematics

Consider the following statements

1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero.

2. Arithmetic mean > Median > Mode for a symmetric distribution.

Which of the above statements is/are correct?

Only 1

Only 2

Both 1 and 2

Neither 1 nor 2

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Let the correlation coefficient between X and Y be 0.6. Random variables Z and W are defined as Z = X + 5 and W = $${Y \over 3}$$. What is the correlation coefficient between Z and W ?

0.1

0.2

0.36

0.6

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If all the natural numbers between 1 and 20 are multiplied by 3, then what is the variance on the resulting series?

99.75

199.75

299.25

399.25

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?

45, 5

11.25, 1.25

11.25, 2.5

12.5, 2.5

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