First slide

Introduction to statistics

Question

When tested, the lives (in hours) of 5 bulbs were noted as follows:
1357,1090, 1666, 1494, 1623
The mean deviation (in hours) from their mean is

Easy

A

178
B

179
C

220
D

356

Solution

The lives of 5 bulbs are: 1357,1090, 1666, 1494, 1623
$\begin{matrix} Mean (\bar{x}) = \frac{1357 + 1090 + 1666 + 1494 + 1623}{5} \\ = \frac{7230}{5} = 1446 \end{matrix}$
$x_{i}$ $d_{i} = |x_{i} - \bar{x}|$
1357 89
1090 356
1666 220
1494 48
1623 177
Total ${Σd}_{i} = 890$
$M.D. = \frac{{Σd}_{i}}{N} = \frac{890}{5} = 178$

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