A sample of $25$ scores has a mean $75$ , median $79$ and standard deviation of $8$ . If you increase every score by $10$ , which of the following is true?
$I$ . The new mean is $85$
$I I$ . The new median is $89$
$I I I$ . The new standard deviation is $18$

I

only

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I I

only

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I

and

I I

only

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none

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I, I I

and

I I I

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Solution

The correct option is C $I$ and $I I$ only
New Mean = Old Mean + $10 = 75 + 10 = 85$
New standard deviation= old standard deviation $= 8$
New median = Old median $+ 10 = 79 + 10 = 89$

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