NDA 2016 Paper 2 | Statistics Question 4 | Mathematics

Consider the following statements.

I. The mean and median are equal in symmetric distribution.

II. The range is the difference between the maximum value and the minimum value in the data.

III. The sum of the areas of the rectangles in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.

Which of the above statements are correct?

I and II

II and III

I and III

I, II and III

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

The scores of 15 students in an examination were recorded as 10, 5, 8, 16, 18, 20, 8, 10, 16, 20, 18, 11, 16, 14 and 12. After calculating the mean, median and mode, an error is found. One of the values is wrongly written as 16 instead of 18. Which of the following measures of central tendency will change?

Mean and median

Median and mode

Mode only

Mean and mode

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

For 10 observations on price (x) and supply (y), the following data was obtained.

$$\Sigma$$x = 130, $$\Sigma$$y = 220, $$\Sigma$$x² = 2288, $$\Sigma$$y² = 5506 and $$\Sigma$$xy = 3467.

What is the line of regression of y on x?

y = 0.91 x + 8.74

y = 1.02 x + 8.74

y = 1.02 x $$-$$ 7.02

y = 0.91 x $$-$$ 7.02

NDA 2016 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

In a study of two groups, the following results were obtained.

Image

Which of the following statements is correct?

Group A is less variable than Group B because Group A's standard deviation is smaller

Group A is less variable than Group B because Group A's sample size is smaller

Group A is less variable than Group B because Group A's sample mean is smaller