The variance of the numbers $8, 21, 34, 47, \ldots, 320$ is . . . . . . .

  • A
    $1059$
  • B
    $1238$
  • C
    $7562$
  • D
    $8788$

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If each observation of a distribution with variance $\sigma^2$ is multiplied by $\lambda$,find the standard deviation of the new observations.

The variance of the observations $112, 116, 120, 125, 132$ is $......$

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If $\sum_{i = 1}^9 (x_i - 5) = 9$ and $\sum_{i = 1}^9 (x_i - 5)^2 = 45$,then the standard deviation of the $9$ items $x_1, x_2, ..., x_9$ is:

An analysis of monthly wages paid to workers in two firms $A$ and $B$,belonging to the same industry,gives the following results:
\text{Particulars} \text{Firm } $A$ \text{ and Firm } $B$
\text{No. of wage earners} $A: 586, B: 648$
\text{Mean of monthly wages} $A: Rs. 5253, B: Rs. 5253$
\text{Variance of wages} $A: 100, B: 121$

Which firm,$A$ or $B,$ shows greater variability in individual wages?

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