$A$ data consists of $20$ observations $x_1, x_2, ..., x_{20}$. If $\sum_{i=1}^{20} (x_i + 5)^2 = 2500$ and $\sum_{i=1}^{20} (x_i - 5)^2 = 100$, then the ratio of mean to standard deviation of this data is:

  • A
    $2:1$
  • B
    $3:1$
  • C
    $3:2$
  • D
    $4:1$

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Find the standard deviation of the given data. (in $.69$)

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The variance of the following frequency distribution is:
Classes$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$
Frequency$11$$29$$18$$4$$5$$3$

If the mean of the frequency distribution is $28$,then its variance is $........$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
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