1
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
2
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
$\frac{x}{\bar{y}}>1,1 \leq \frac{\bar{x}}{\bar{y}}<\frac{\sigma_A}{\sigma_B}$
3
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
$\frac{37}{7}$
4
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
For a set of observations, if the coefficient of variation is 25 and mean is 44 , then the variance is
A
11
B
121
C
110
D
19
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