If the standard deviation of $x_i$ is $10$,what will be the variance of $(50 + 5x_i)$?

  • A
    $50$
  • B
    $250$
  • C
    $500$
  • D
    $2500$

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Similar Questions

The coefficient of variation of the first $n$ natural numbers is

Statement-$1$: The variance of the first $n$ even natural numbers is $\frac{n^2 - 1}{3}$.
Statement-$2$: The sum of the first $n$ odd natural numbers is $n^2$ and the sum of the squares of the first $n$ odd natural numbers is $\frac{n(4n^2 - 1)}{3}$.

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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$

In a series of $2n$ observations,half of them are equal to $a$ and the remaining half are equal to $-a$. If the standard deviation of the observations is $2$,then $|a|$ equals:

The sum and sum of squares corresponding to length $x$ (in $cm$) and weight $y$ (in $gm$) of $50$ plant products are given below:
$\sum\limits_{i = 1}^{50} {{x_i} = 212, \sum\limits_{i = 1}^{50} {x_i^2} = 902.8, \sum\limits_{i = 1}^{50} {{y_i} = 261, \sum\limits_{i = 1}^{50} {y_i^2 = 1457.6} } }$
Which is more varying,the length or weight?

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