Respuesta :
The mean absolute deviation of a data set is the average absolute difference between each data point and the mean.
First, find the mean of the data set.
There are 8 players in the chess club. Then, the average age of the players is:
[tex]\frac{27+34+38+16+22+45+54+60}{8}=37[/tex]Take the absolute value of the difference between the age of each participant and the average age of 37 years:
[tex]\begin{gathered} |27-37|=10 \\ |34-37|=3 \\ |38-37|=1 \\ |16-37|=21 \\ |22-37|=15 \\ |45-37|=8 \\ |54-37|=17 \\ |60-37|=23 \end{gathered}[/tex]Next, find the mean of the absolute differences to find the mean absolute deviation:
[tex]\frac{10+3+1+21+15+8+17+23}{8}=12.25[/tex]Therefore, the mean absolute deviation of the data set is 12.25.
