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

what is the mean absolute deviation of the data?
a 17.2
b 5.8
c 1.72
d 58

Answer 1

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

Mean = (1+2+3+3+3+3+4+40)/8 = 60/8 = 7.5

Next, we find the absolute deviation of each data point from the mean:

|1-7.5| = 6.5
|2-7.5| = 5.5
|3-7.5| = 4.5
|3-7.5| = 4.5
|3-7.5| = 4.5
|3-7.5| = 4.5
|4-7.5| = 3.5
|40-7.5| = 32.5

Now, we find the average of these absolute deviations:

(6.5 + 5.5 + 4.5 + 4.5 + 4.5 + 4.5 + 3.5 + 32.5)/8 = 5.625

Therefore, the mean absolute deviation of the data is approximately 5.8.

So, the correct answer is b) 5.8