Given:
Mean, x = 32
number of data, n = 5
From the plot, we have the following:
Number of pages Frequency
25 2
32 1
36 1
42 1
Sum up the distance between each data point and the mean using the absolute value and divide by the number of data(n).
To find the measn absolute devialtion, apply the formula:
[tex]\text{MAD}=\frac{\Sigma|x_i-x|}{n}[/tex]
Thus, we have:
[tex]\text{MAD=}\frac{|25-32|+|25-32|+|32-32|+|36-32|+|42-32|}{5}[/tex]
Solving further:
[tex]\begin{gathered} \text{MAD}=\frac{|-7|+|-7|+|0|+|4|+|10|}{5} \\ \\ \text{MAD}=\frac{7+7+0+4+10}{5} \\ \\ \text{MAD}=\frac{28}{5} \\ \\ \text{MAD}=5.6 \end{gathered}[/tex]
Therefore, the mean absolute deviation of the data is 5.6
ANSWER:
5.6
