Question

the number of boxes of food that six volunteers collected for the food drive is given in the table below.
number of boxes
32
35
20
16
28
13
what is the mean absolute deviation? round to the nearest tenth.

Explanation:

Step1: Calculate the mean

$\text{Mean} = \frac{32 + 35 + 20 + 16 + 28 + 13}{6} = \frac{144}{6} = 24$

Step2: Find absolute deviations

$|32-24|=8$, $|35-24|=11$, $|20-24|=4$, $|16-24|=8$, $|28-24|=4$, $|13-24|=11$

Step3: Calculate mean of deviations

$\text{Mean Absolute Deviation} = \frac{8 + 11 + 4 + 8 + 4 + 11}{6} = \frac{46}{6} \approx 7.7$

Answer:

7.7