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.
a students quiz scores are 80, 85, 90, 75, and 80. what is the mad of these quiz scores?
82
15
4.4

Explanation:

Step1: Calculate the mean

$\text{Mean} = \frac{80 + 85 + 90 + 75 + 80}{5} = \frac{410}{5} = 82$

Step2: Find absolute deviations

$|80-82|=2$, $|85-82|=3$, $|90-82|=8$, $|75-82|=7$, $|80-82|=2$

Step3: Average the absolute deviations

$\text{MAD} = \frac{2 + 3 + 8 + 7 + 2}{5} = \frac{22}{5} = 4.4$

Answer:

4.4