Answer:
5.6
Step-by-step explanation:
Sheryl got the following scores on her spelling tests.
95, 89, 99, 85, 82
Mean = sum of all observations/ Number of observations
Sum of all observations [tex]=95+89+99+85+82=450[/tex]
Number of observations = 5
So,
Mean [tex]=\frac{450}{5}=90[/tex]
Let M denotes the mean
Mean absolute deviation [tex]=\frac{\sum_{i=1}^{n}\left | x_i-M \right |}{n}[/tex]
Put [tex]n=5[/tex]
So,
Mean absolute deviation [tex]=\frac{\sum_{i=1}^{5}\left | x_i-M \right |}{5}=\frac{|95-90|+|89-90|+|99-90|+|85-90|+|82-90|}{5}=\frac{5+1+9+5+8}{5} =\frac{28}{5}=5.6[/tex]
