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Answer :
Answer:
7.68
Step-by-step explanation:
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The mean absolute deviation for the given data will be equal to 6.9.
What is the mean absolute deviation?
The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.
The formula used to calculate MAD is given below:-
[tex]\rm MAD=\dfrac{1}{n}\sum|x_i-m|[/tex]
The given data set is 32, 43, 38, 28, and, 51. First, calculate the mean of the given data.
Mean = ( 32 + 43 + 38 + 28 + 51 ) / 5
Mean = 192 / 5 = 38.4
The MAD will be calculated as below:-
MAD = ( 1 / 5) [ | ( 32 - 38.5 ) | + | ( 43 - 38.5 ) | + | ( 38 - 38.5 ) | + | ( 28 - 38.5 ) + | ( 51 - 38. 5 ) | ]
MAD = ( 6.5 + 4.5 + 0.5 + 10.5 + 12.5 + ) / 5
MAD = 6.9
Therefore, the mean absolute deviation for the given data will be equal to 6.9.
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