Question

Consider the data set on the number line. Determine the mean absolute deviation. Round to the nearest tenth.

Answer 1

Answer: 7.1

Explanation:

Add up the values to find the mean of the data set:

25 + 28 + 30 + 32 + 35 + 41 + 54 = 245

Divide 245 by 7 because there are 7 numbers in the number set.

`(245)/(7) = 35`

Subtract the numbers of the data set by the mean.

25 - 35 = -10

28 - 35 = -7

30 - 35 = -5

32 - 35 = -3

35 - 35 = 0

41 - 35 = 6

54 - 35 = 19

The mean deviation is always positive so change the negatives to positives. After that, add them up:

10 + 7 + 5 + 3 + 0 + 6 + 19 = 50

Then divide 50 by 7 because there are 7 numbers in the data set.

`(50)/(7) = 7.14285714...`

Rounded the answer is 7.1

Answer 2

7.1

Explanation:

First add up all the numbers and divide by amount of numbers

Then subtract the average from all the numbers and add them up again

and then divide by amount of numbers