NDA 2019 Paper 1 | Statistics Question 68 | Mathematics

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

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

+2.5

-0.833

Let x - 3y + 4 = 0 and 2x - 7y + 8 = 0 be two lines of regression computed from some bivariate data. If b_yx and b_xy are regression coefficients of lines of regression of y on x and x on y respectively, then what is the value of b_xy + 7b_yx?

-2

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

+2.5

-0.833

What is the mean deviation of the first 10 natural numbers?

2.5

3.5

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

+2.5

-0.833

Let $\rm \Sigma_{i=1}^9x_i^2=885$ If M is the mean and σ is the standard deviation of x₁, x₂, x₃.....x₉ then what is the value of M² + σ²?

100

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