Question

A data set is shown.

48, 43, 42, 49, 50, 41

What is the mean absolute deviation of this data set?


45.5


9


3.5


3

Answer 1

first off, what is the mean of this data set?

Answer 2

15.25

Answer 3

no you made an error somewhere

Answer 4

45.5

Answer 5

yep that's the mean but not the mean absolute deviation

Answer 6

what you do next is subtract the mean from each data value

then apply absolute value bars like this...


|48 - 45.5| = 2.5

|43 - 45.5| = 2.5

|42 - 45.5| = 3.5

|49 - 45.5| = 3.5

|50 - 45.5| = 4.5

|41 - 45.5| = 4.5

Answer 7

then add them together?

Answer 8

correct, then you average those results (add them up, then divide by 6)

Answer 9

ahh thank you!

Answer 10

yw

Answer 11

so 3.5?

Answer 12

yep

2.5 + 2.5 + 3.5 + 3.5 + 4.5 + 4.5 = 21

21/6 = 3.5