The mean of four observations is $3$. If the sum of the squares of these observations is $48$,then their standard deviation is
- A$\sqrt{7}$
- B$\sqrt{2}$
- C$\sqrt{3}$
- D$\sqrt{5}$
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Similar Questions
The coefficient of variation of the following distribution is
Class interval $0-5$ $5-10$ $10-15$ $15-20$ $20-25$ Frequency $4$ $1$ $10$ $3$ $2$
| Class interval | $0-5$ | $5-10$ | $10-15$ | $15-20$ | $20-25$ |
| Frequency | $4$ | $1$ | $10$ | $3$ | $2$ |
In a distribution of $10$ observations,the sum of the observations is $60$ and the sum of their squares is $1000$. Then,the variance is:
If for a distribution $\Sigma(x-5)=3$,$\Sigma(x-5)^{2}=43$ and the total number of items is $18$,find the mean and standard deviation.
Medium
View SolutionFind the mean and variance for the following data:
$x_i$ $92$ $93$ $97$ $98$ $102$ $104$ $109$ $f_i$ $3$ $2$ $3$ $2$ $6$ $3$ $3$
| $x_i$ | $92$ | $93$ | $97$ | $98$ | $102$ | $104$ | $109$ |
| $f_i$ | $3$ | $2$ | $3$ | $2$ | $6$ | $3$ | $3$ |
Difficult
View SolutionThe variance of the data $2, 3, 5, 11, 13, 17, 19$ is nearly
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