Question

99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.

What is the MAD (mean absolute deviation) rounded to the nearest tenth?


1.1

1.3

2.3

3.0

Answer 1

Answer: 1.1

Explanation:

To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:

1 - 3 = -2 -> |-2| = 2

2 - 3 = -1 -> |-1| = 1

2 - 3 = -1 -> |-1| = 1

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

5 - 3 = 2

-

`(2+1+1+0+1+1+2)/(7)`

`(8)/(7)`

1.14

The mean absolute deviation is about 1.1