Statistics · Mathematics · AP EAPCET

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MCQ (Single Correct Answer)

1

If the mean deviation about the mean is $m$ and variance is $\sigma^2$ for the following data, then $m+\sigma^2=$

$\mathbf{x}$ 1 3 5 7 9
$\mathbf{f}$ 4 24 28 16 8
AP EAPCET 2024 - 20th May Evening Shift
2
$x$ and $y$ are the arithmetic means of the runs of two batsmen $A$ and $B$ in 10 innings respectively and $\sigma_A, \sigma_B$ are the standard deviations of their runs in them. If batsman $A$ is more consistent than $B$, then he is also a higher run scorer only when
AP EAPCET 2024 - 20th May Morning Shift
3
If $m$ and $M$ denote the mean deviations about mean and about median respectively of the data $20,5,15,2$, $7,3,11$, then the mean deviation about the mean of $m$ and $M$ is
AP EAPCET 2024 - 19th May Evening Shift
4
For a set of observations, if the coefficient of variation is 25 and mean is 44 , then the variance is
AP EAPCET 2024 - 18th May Morning Shift
5

If the mean deviation of the data $$1,1+d 1+2 d, \ldots, 1+100 d,(d>0)$$ from their mean is 255, then '$$d$$' is equal to

AP EAPCET 2022 - 5th July Morning Shift
6

If the mean of the data $$p, 6,6,7,8,11,15,16$$, is 3 times $$p$$, then the mean deviation of the data from its mean is

AP EAPCET 2022 - 4th July Evening Shift
7

The mean deviation about the mean for the following data.

$$5,6,7,8,6,9,13,12,15 \text { is }$$

AP EAPCET 2022 - 4th July Morning Shift
8

The mean deviation from the mean of the set of observation $$-1,0,4$$ is

AP EAPCET 2021 - 20th August Morning Shift
9

Let an angle of a triangle is 60$$^\circ$$. If the variance of the angles of the triangle is 1014$$^\circ$$, then the other two angles are

AP EAPCET 2021 - 20th August Morning Shift
10

For the random variable X with probability distribution is given by the table

$$X=x$$ 0 1 2 3
$$P(X=x)$$ $$K$$ $$K+\frac{1}{7}$$ $$2K$$ $$\frac{2}{5}$$

The mean of X is

AP EAPCET 2021 - 20th August Morning Shift
11

The mean and variance of $$n$$ observations $$x_1, x_2, x_3, \ldots . . x_n$$ are 5 and 0 respectively. If $$\sum_{i=1}^n x_i^2=400$$, then the value of $$n$$ is equal to

AP EAPCET 2021 - 19th August Evening Shift
12

The variance of the variates 112, 116, 120, 125 and 132 about their AM is

AP EAPCET 2021 - 19th August Morning Shift
13

Which of the following set of data has least standard deviation?

AP EAPCET 2021 - 19th August Morning Shift
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