Given that the arithmetic mean and standard deviation of a sample...

Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of the following is the arithmetic mean of the smallest five observations in the data?

Options

A $0$
B $8$
C $16$
D $24$

Correct answer

D. $24$

Step-by-step solution

Given, standard deviation

=0\text{ Mean }=24

Since standard deviation is 0 , all observations are equal to 24.

\therefore

Mean of smallest five observations

=24

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