Question

how to calculate mean absolute deviation
choose the correct answer
the number of points scored in five basketball games is 20, 25, 18, 22, and 25. what is the mad of the points scored?
2.4
22
7

Explanation:

Step1: Calculate the mean

The mean \(\bar{x}=\frac{20 + 25+18+22+25}{5}=\frac{110}{5} = 22\)

Step2: Calculate the absolute deviations

\(\vert20 - 22\vert=2\), \(\vert25 - 22\vert = 3\), \(\vert18 - 22\vert=4\), \(\vert22 - 22\vert=0\), \(\vert25 - 22\vert=3\)

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

\(MAD=\frac{2 + 3+4+0+3}{5}=\frac{12}{5}=2.4\)

Answer:

\(2.4\)