The coefficient of variation of the following distribution is
Class interval$0-5$$5-10$$10-15$$15-20$$20-25$
Frequency$4$$1$$10$$3$$2$

  • A
    $\frac{25 \sqrt{139}}{12}$
  • B
    $\frac{25 \sqrt{139}}{6}$
  • C
    $\frac{139}{6}$
  • D
    $\frac{25 \times 139}{12}$

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Similar Questions

The mean of $5$ observations is $15$ and variance is $9$. If two observations having values $-5$ and $13$ are combined with these observations,then what will be the new variance?

Let the observations $x_{i} (1 \leq i \leq 10)$ satisfy the equations $\sum_{i=1}^{10}(x_{i}-5)=10$ and $\sum_{i=1}^{10}(x_{i}-5)^{2}=40$. If $\mu$ and $\lambda$ are the mean and the variance of the observations $x_{1}-3, x_{2}-3, \dots, x_{10}-3$,then the ordered pair $(\mu, \lambda)$ is equal to:

In an experiment with $15$ observations for $x$,the following results were available: $\sum x^2 = 2830$ and $\sum x = 170$. One observation $20$ was found to be wrong and was replaced by the correct value $30$. Then the corrected variance is:

Let $v_1$ be the variance of $\{13, 16, 19, \dots, 103\}$ and $v_2$ be the variance of $\{20, 26, 32, \dots, 200\}$. Then the ratio $v_1 : v_2$ is:

For a frequency distribution,the standard deviation is computed by applying the formula:

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