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.

Answer 1

its 7.7

Explanation:

i got it right in edg

Answer 2

The mean absolute value is 7.7, when rounded to the nearest tenth.

Explanation:

1.) To get the mean absolute deviation you have to find the mean first:

• 32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24

2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:

• 32 - 24 = | 8 | → 8
• 35 - 24 = | 11 | → 11
• 20 - 24 = | -4 | → 4
• 16 - 24 = | -8 | → 8
• 28 - 24 = | 4 | → 4
• 13 - 24 = | -11 | → 11

3.) Then, you have to find the mean of the absolute values:

• 8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667‬ = 7.7