1
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Mean deviation about the mean for the following data is

$$ \begin{array}{llllll} \hline \text { Class Interval } & 0-6 & 6-12 & 12-18 & 18-24 & 24-30 \\ \hline \text { Frequency } & 1 & \,2 & \,3 & \,2 & \,1 \\ \hline \end{array} $$

A
5
B
$16 / 3$
C
6
D
$19 / 3$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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
A
8
B
7.2
C
$\frac{28}{5}$
D
6
3
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$x$ 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
A
$0<\frac{\sigma_A}{\sigma_B}<\frac{\bar{x}}{\bar{y}}, \frac{\bar{x}}{\bar{y}}>1$
B
$\frac{\bar{x}}{\bar{y}}>\frac{\sigma_A}{\sigma_B}>1$
C
$\frac{\bar{x}}{\bar{y}}<\frac{\sigma_A}{\sigma_B}<1$
D
$\frac{x}{\bar{y}}>1,1 \leq \frac{\bar{x}}{\bar{y}}<\frac{\sigma_A}{\sigma_B}$
4
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
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
A
$\frac{1}{7}$
B
$\frac{38}{7}$
C
$\frac{36}{7}$
D
$\frac{37}{7}$
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