Answer:
5.952
Explanation:
First, we need to find the mean of the data. So, the sum of all the values divided by the number of values is equal to:
[tex]\begin{gathered} \text{Mean = }\frac{31.8+22.6+13.8+16.4+28.1}{5} \\ \text{Mean =}\frac{112.7}{5}=22.54 \end{gathered}[/tex]Then, we need to find the absolute difference between each value and the mean, so:
| 31.8 - 22.54 | = 9.26
|22.6 - 22.54 | = 0.06
|13.8 - 22.54 | = 8.74
| 16.4 - 22.54 | = 6.14
| 28.1 - 22.54| = 5.56
Finally, sum the differences and divide them by the number of values:
[tex]\frac{9.26+0.06+8.74+6.14+5.56}{5}=\frac{29.76}{5}=5.952[/tex]Therefore, the mean absolute deviation is 5.952
