Question

The number of boxes of food that six volunteers collected for the food drive is given in the table below.

Answer 1

Answer:

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

Step-by-step 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