Question

how to calculate mean absolute deviation
step 1: calculate the mean (average) of the data.
step 2: find the absolute deviations by taking the absolute value of the
difference of each value and the mean.
step 3: find the average of the absolute deviations.
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

The data set is \(30,40,20,35,25,30\).
The mean \(\bar{x}=\frac{30 + 40+20+35+25+30}{6}=\frac{180}{6}=30\)

Step2: Calculate the absolute deviations

\(\vert30 - 30\vert=0\), \(\vert40 - 30\vert = 10\), \(\vert20 - 30\vert=10\), \(\vert35 - 30\vert = 5\), \(\vert25 - 30\vert=5\), \(\vert30 - 30\vert=0\)

Step3: Calculate the mean of the absolute deviations (MAD)

\(MAD=\frac{0 + 10+10+5+5+0}{6}=\frac{30}{6}=5\)

Answer:

\(5\)