The price of different items ordered for a birthday party is given. Find the mean deviation of the data.

5.8

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6.9

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3.7

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7.2

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Solution

The correct option is C 3.7
The given data set is

11, 7, 8, 23, 12, 6, 10
$Mean deviation = \frac{sum of absolute values of deviations from mean}{number of observations}$

The mean of the data set is the sum of the data divided by the number of data values

Mean = $\frac{s u m o f a l l d a t a}{n u m b e r o f d a t a}$

= $\frac{11 + 7 + 8 + 23 + 12 + 6 + 10}{7}$

= $\frac{77}{7}$

= 11

Mean deviation is:
$\frac{| 11 - 11 | + | 11 - 7 | + | 11 - 8 | + | 11 - 23 | + | 11 - 12 | + | 11 - 6 | + | 11 - 10 |}{7}$

= $\frac{0 + 4 + 3 + 12 + 1 + 5 + 1}{7}$

= $\frac{26}{7}$ = 3.7

Hence, mean deviation of the data is 3.7

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