# Statistics · Mathematics · NDA

Start Practice## MCQ (Single Correct Answer)

NDA Mathematics 21 April 2024

From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as $y = a + bx$, then what is the value of $2a + 15b$?

NDA Mathematics 21 April 2024

If two random variables $X$ and $Y$ are connected by relation
$\frac{2 X-3 Y}{5 X+4 Y}=4$ and $X$ follows Binomial distribution with parameters $n=10$...

NDA Mathematics 21 April 2024

An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount of money is spent on o...

NDA Mathematics 21 April 2024

$$
\text { What is } \sum_i^n x_i f_i \text { equal to? }
$$

NDA Mathematics 21 April 2024

What is the mean of the distribution?

NDA Mathematics 21 April 2024

What is the mean deviation of the largest five observations?

NDA Mathematics 21 April 2024

What is the variance of the largest five observations?

NDA Mathematics 3 September 2023

The sum of deviations of n numbers from 10 and 20 are p and q respectively. If (p - q)2 = 10000, then what is the value of n?...

NDA Mathematics 3 September 2023

If X̅ = 20 is the mean of 10 observations x1, x2, ... x10; then what is the value of $\displaystyle \sum_{i=1}^{10}\left(\frac{3 x_i-4}{5}\r...

NDA Mathematics 3 September 2023

If the mean and the sum of squares of 10 observations are 40 and 16160 respectively, then what is the standard deviation?

NDA Mathematics 3 September 2023

If r is the coefficient of correlation between x and y, then what is the correlation coefficient between (3x + 4) and (-3y + 3)?

NDA Mathematics 16 April 2023

The mean and variance of five observations are 14 and 13.2 respectively. Three of the five observations are 11, 16 and 20. What are the other two obse...

NDA Mathematics 16 April 2023

The central angles p, q, r and s (in degrees) of four sectors in a Pie Chart satisfy the relation 9p = 3q = 2r = 6s. What is the value of 4p - q ?&nbs...

NDA Mathematics 16 April 2023

The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and h...

NDA Mathematics 16 April 2023

A die is thrown 10 times and obtained the following outputs :
1, 2, 1, 1, 2, 1, 4, 6, 5, 4
What will be the mode of data so obtained ?&nb...

NDA Mathematics 16 April 2023

Consider the following frequency distribution :
x
1
2
3
5
f
4
6
9
7
What is the value of median of ...

NDA Mathematics 16 April 2023

For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five observations, then what is the...

NDA Mathematics 16 April 2023

Let P, Q, R represent mean, median and mode. If for some distribution $5 P=4 Q=\frac{R}{2}$ then what is $\frac{P+Q}{2 P+0.7 R}$ e...

NDA Mathematics 16 April 2023

Let P be the median, Q be the mean and R be the mode of observations x1, x2, x3, .....xn. Let $S=\sum\limits_{i=1}^n\left(2 x_i-a\...