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Find the mean deviation of these numbers 10, 12, 14, 15, 17, 19.


Question

Find the mean deviation of these numbers 10, 12, 14, 15, 17, 19.

Options

A) 2.5

B) 2.6

C) 2.7

D) 2.8

The correct answer is A.

Explanation:

\(\begin{array}{c|c} x & d = x - \bar{x} & |d| \\ \hline 10 & -4.5 & 4.5 \\ 12 & -2.5 & 2.5\\ 14 & -0.5 & 0.5\\ 15 & 0.5 & 0.5\\ 17 & 2.5 & 2.5\\ 19 & 4.5 & 4.5\\ \hline \sum x = 87 & & \sum|d| = 15\end{array}\)

\(\bar{x} = \frac{\sum x}{n}\)

= \(\frac{87}{6}\)

= 14.5


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Dicussion (1)

  • \(\begin{array}{c|c} x & d = x - \bar{x} & |d| \\ \hline 10 & -4.5 & 4.5 \\ 12 & -2.5 & 2.5\\ 14 & -0.5 & 0.5\\ 15 & 0.5 & 0.5\\ 17 & 2.5 & 2.5\\ 19 & 4.5 & 4.5\\ \hline \sum x = 87 & & \sum|d| = 15\end{array}\)

    \(\bar{x} = \frac{\sum x}{n}\)

    = \(\frac{87}{6}\)

    = 14.5

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