Answer :
Mean absolute deviation of Polina’s math score is 8.8
Mean Absolute Deviation
What is Mean absolute deviation?
Each data point's average distance from the mean is known as the dataset's mean absolute deviation. It provides us with information about a dataset's variability.
Calculation for mean absolute deviation;
The Mean Absolute Deviation is calculated in three steps-
(1) Calculate the Mean: Divide the count by the sum of all the numbers.
Mean = (72+65+75+88+90)/5
= 78
Mean = 78
(2) Calculate each variable's deviation from the mean:
Mean deviation for each value is,
=> 72 - 78 = -6
=> 65 - 78 = -13
=> 75 - 78 = -3
=> 88 - 78 = 10
=> 90 - 78 = 12
(3) Make the deviation "absolute" by squaring and figuring out the roots, or by removing the negative component:
Mean Absolute Deviation = (6+13+ 3+10+12)/5
= 8.8
Therefore, the absolute mean deviation comes out to be 8.8.
To know more about standard deviation mean, here
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