(A) The coefficient of variation $(CV)$ is defined as $CV = \frac{\sigma}{\bar{x}} \times 100$. For group $A$ to be more consistent than group $B$,the

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(A) The coefficient of variation $(CV)$ is defined as $CV = \frac{\sigma}{\bar{x}} \times 100$. For group $A$ to be more consistent than group $B$,the coefficient of variation of $A$ must be less than the coefficient of variation of $B$. Thus,$CV_A Substituting the values,we get $\frac{\sigma_A}{\bar{x}} Given $\sigma_A = 2$ and $\sigma_B = 3$,we have $\frac{2}{\bar{x}} Rearranging the inequality to solve for $\frac{\bar{y}}{\bar{x}}$,we get $\frac{\bar{y}}{\bar{x}} < \frac{3}{2}$.

Class 11 Mathematics Statistics Word problem -Statistics

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The means of two groups of observations $A$ and $B$ are $\bar{x}$ and $\bar{y}$ respectively,and their standard deviations are $2$ and $3$ respectively. In order for group $A$ to be more consistent than group $B$,$\frac{\bar{y}}{\bar{x}} < $

TS EAMCET 2020 All TS EAMCET

A
$\frac{3}{2}$
B
$\frac{5}{1}$
C
$\frac{2}{3}$
D
$\frac{6}{5}$

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The mean and variance of $7$ observations are $8$ and $16$ respectively. If one observation $14$ is omitted and $a$ and $b$ are respectively the mean and variance of the remaining $6$ observations,then $a+3b-5$ is equal to $..........$.

DifficultJEE MAIN 2023

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The means of two groups of observations $A$ and $B$ are $\bar{x}$ and $\bar{y}$ respectively,and their standard deviations are $2$ and $3$ respectively. In order for group $A$ to be more consistent than group $B$,$\frac{\bar{y}}{\bar{x}} < $

Similar Questions

If the mean of two samples of sizes $20$ and $30$ are $25$ and $10$ respectively,and their variances are $9$ and $16$ respectively,then their combined variance is:

The weighted mean of the first $n$ natural numbers,where the weights are equal to the squares of the corresponding numbers,is:

Let the mean and variance of $8$ numbers $-10, -7, -1, x, y, 9, 2, 16$ be $\frac{7}{2}$ and $\frac{293}{4}$ respectively. Then the mean of $4$ numbers $x, y, x + y + 1, |x - y|$ is:

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The mean and variance of $7$ observations are $8$ and $16$ respectively. If one observation $14$ is omitted and $a$ and $b$ are respectively the mean and variance of the remaining $6$ observations,then $a+3b-5$ is equal to $..........$.

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