Q256 / 270 · NDA 2017 (Phase 2) · Mathematics

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?

  • A
    $0$
  • B
    $8$
  • C
    $16$
  • Correct answer
    D
    $24$

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 $=24$.

Hence, the correct answer is option: 'D'.

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