The variance of the observations $8, 12, 13, 15, 22$ is:

  • A
    $21$
  • B
    $21.2$
  • C
    $21.4$
  • D
    None of these

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The mean of four observations is $3$. If the sum of the squares of these observations is $48$,then their standard deviation is

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:

The mean and standard deviation of marks obtained by $50$ students of a class in three subjects,Mathematics,Physics and Chemistry are given below:
Subject Mathematics,Physics,Chemistry
Mean $42, 32, 40.9$
Standard deviation $12, 15, 20$

Which of the three subjects shows the highest variability in marks and which shows the lowest?

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The sum of $10$ values is $12$ and the sum of their squares is $16.9$,then their standard deviation $(S.D.)$ is

If $v$ is the variance and $\sigma$ is the standard deviation,then

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