If the coefficient of variation and standard deviation are $ 60 $ and $ 21 $ respectively,the arithmetic mean of the distribution is:
- A$ 30 $
- B$ 21 $
- C$ 60 $
- D$ 35 $
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Similar Questions
If variables $x$ and $u$ are related by $u = \frac{x - a}{h}$,then the correct relationship between $\sigma_x$ and $\sigma_u$ is:
Easy
View SolutionFind the variance of the following frequency distribution.
$Class$ $0-2$ $2-4$ $4-6$ $6-8$ $8-10$ $10-12$ $f_i$ $2$ $7$ $12$ $19$ $9$ $1$
| $Class$ | $0-2$ | $2-4$ | $4-6$ | $6-8$ | $8-10$ | $10-12$ |
|---|---|---|---|---|---|---|
| $f_i$ | $2$ | $7$ | $12$ | $19$ | $9$ | $1$ |
Difficult
View SolutionThe variance of the following distribution is:
Marks $1-3$ $3-5$ $5-7$ $7-9$ Number of students $40$ $30$ $20$ $10$
| Marks | $1-3$ | $3-5$ | $5-7$ | $7-9$ |
| Number of students | $40$ | $30$ | $20$ | $10$ |
The mean and standard deviation of $100$ items are $50$ and $4$,respectively. Find the sum of all the items and the sum of the squares of the items.
Difficult
View SolutionIf the variance of the distribution is $45.8$,then find the variance of the distribution given below:
$x_i$ $4$ $8$ $11$ $17$ $20$ $24$ $32$ $f_i$ $3$ $5$ $9$ $5$ $4$ $3$ $1$
$y_i$ $10$ $18$ $24$ $36$ $42$ $50$ $66$ $f_i$ $3$ $5$ $9$ $5$ $4$ $3$ $1$
| $x_i$ | $4$ | $8$ | $11$ | $17$ | $20$ | $24$ | $32$ |
|---|---|---|---|---|---|---|---|
| $f_i$ | $3$ | $5$ | $9$ | $5$ | $4$ | $3$ | $1$ |
| $y_i$ | $10$ | $18$ | $24$ | $36$ | $42$ | $50$ | $66$ |
|---|---|---|---|---|---|---|---|
| $f_i$ | $3$ | $5$ | $9$ | $5$ | $4$ | $3$ | $1$ |
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