Q251 / 270 · NDA 2021 (Phase 1) · Mathematics

Consider the following measures of central tendency for a set of $N$ numbers : 1. Arithmetic mean 2. Geometric mean Which of the above uses/use all the data?

  • Correct answer
    A
    $1$ only
  • B
    $2$ only
  • C
    Both $1$ and $2$
  • D
    Neither $1$ nor $2$

Solution

(i) Arithmetic mean $=\frac{\text { Sum of observation }}{\text { Number of observation }}$ (ii) Geometric mean $=\sqrt[n]{\text { Product of } \mathrm{n} \text { observation }}$ Here, only Arithmetic mean measures central tendency.

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

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