The variance of $\alpha$,$\beta$,and $\gamma$ is $9$. Then,the variance of $5\alpha$,$5\beta$,and $5\gamma$ is:

  • A
    $45$
  • B
    $9/5$
  • C
    $5/9$
  • D
    $225$

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The following table shows the marks obtained by two students,Ravi and Hashina,in $10$ tests (out of $100$ marks each).
StudentMarks
Ravi$25, 50, 45, 30, 70, 42, 36, 48, 35, 60$
Hashina$10, 70, 50, 20, 95, 55, 42, 60, 48, 80$

Who is more intelligent and who is more consistent?

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Find the variance of the following frequency distribution.
$Class$ $0-2$ $2-4$ $4-6$ $6-8$ $8-10$ $10-12$
$f_i$ $2$ $7$ $12$ $19$ $9$ $1$

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The coefficient of variation and standard deviation of an ungrouped data are $60$ and $21$ respectively. If $15$ is added to every observation of the data,then the coefficient of variation of the new data is

If each of the observations $x_{1}, x_{2}, \ldots, x_{n}$ is increased by $a$,where $a$ is a positive or negative number,show that the variance remains unchanged.

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The variance of the data $1001, 1003, 1006, 1007, 1009, 1010$ is:

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