If the mean of the frequency distribution is $28$,then its variance is $........$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $2$ $3$ $x$ $5$ $4$

  • A
    $150$
  • B
    $152$
  • C
    $153$
  • D
    $151$

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Similar Questions

The mean of a set of $10$ observations is $5$ and the standard deviation is $2\sqrt{6}$. If the mean of another set of $20$ observations is $5$ and the standard deviation is $3\sqrt{2}$,what is the standard deviation of the combined set of $30$ observations?

The mean of $5$ observations is $7$. If four of these observations are $6, 7, 8, 10$ and one is missing,then the variance of all the five observations is:

If the mean of the numbers $a, b, 8, 5, 10$ is $6$ and the variance is $6.80$,then which of the following is a possible value for $a$ and $b$?

The standard deviation of the following distribution is:
Class interval$0-10$$10-20$$20-30$$30-40$
Frequency$1$$3$$4$$2$

The variance $\sigma^2$ of the data is $ . . . . . .$
$x_i$ $0$ $1$ $5$ $6$ $10$ $12$ $17$
$f_i$ $3$ $2$ $3$ $2$ $6$ $3$ $3$

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