Question

how to calculate mean absolute deviation
step 1: calculate the mean (average) of the data.
step 2: find the absolute deviation by taking the absolute value of the difference of each value and the mean.
step 3: find the average of the absolute deviations.
choose the correct answer.
the numbers of minutes spent on a phone app daily were 30, 40, 20, 35, 25, and 30. what is the mad of the app usage times?

Explanation:

Step1: Calculate the mean

Data: 30,40,20,35,25,30. Sum = 30+40+20+35+25+30 = 180. Mean = $\frac{180}{6}$ = 30.

Step2: Find absolute deviations

30-30

=0,

40-30

=10,

20-30

=10,

35-30

=5,

25-30

=5,

30-30

=0. Deviations: 0,10,10,5,5,0.

Step3: Calculate MAD

Sum of deviations = 0+10+10+5+5+0 = 30. MAD = $\frac{30}{6}$ = 5.

Answer:

5