Question

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

• A. 40.45
• B. 17.45
• C. 38
• D. 27.45

Answer 1

The correct option is D 27.45

The given data set is

11, 70, 80, 23, 12, 60, 10

$\text{Mean deviation =}\frac{\text{sum of absolute values of deviations from mean}}{\text{number of observations}}$

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

Mean = $\frac{sumofalldata}{numberofdata}$

= $\frac{11+70+80+23+12+60+10}{7}$

= 38

Hence, mean = 38

$\therefore$ Mean deviation is:
$\frac{|11-38|+|70-38|+|80-38|+|23-38|+|12-38|+|60-38|+|10-38|}{7}$

= $\frac{27+32+42+15+26+22+28}{7}$

= 27.45

Hence, the mean deviation of the data is 27.45