Mrs. Pham conducted a survey of her 8th grade class. She asked each 8th grader how many pairs of shoes they own and recorded the data in the graph below.

Question

Mrs. Pham's 8th Grade Class
Number of Students

Pairs of Shoes

What is the mean absolute deviation of the data?
Responses
A 17.217.2
B 5.85.8
C 1.721.72
D 58

Answer 1

To find the mean absolute deviation (MAD), we first need to find the mean of the data.

Number of Students: 3 + 1 + 1 + 2 + 1 = 8
Total Pairs of Shoes: 2 + 3 + 2 + 1 + 2 = 10
Mean = Total Pairs of Shoes / Number of Students
Mean = 10 / 5 = 2

Now we calculate the absolute deviations for each data point:
|2-2| = 0
|3-2| = 1
|2-2| = 0
|1-2| = 1
|2-2| = 0

Now we calculate the mean absolute deviation:
MAD = (0 + 1 + 0 + 1 + 0) / 5
MAD = 2 / 5
MAD = 0.4

Therefore, the mean absolute deviation of the data is 0.4.

The closest answer choice is B) 5.8, but the correct answer is not listed.