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Find the approximate mean absolute deviation for this list of numbers. [Note: Type your answer as a decimal number, rounded to the nearest tenth.]

55, 35, 27, 63, 49, 22, 71

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Answer:

15.4

Step-by-step explanation:

mean: (55 + 35 + 27 + 63 + 49 + 22 + 71)/7 = 46

absolute values of differences:

|55 - 46| = 9

|35 - 46| = 11

|27 - 46| = 19

|63 - 46| = 17

|49 - 46| = 3

|22 - 46| = 24

|71 - 46| = 25

The means of the differences is:

(9 + 9 + 19 + 17 + 3 + 24 + 25)/7 = 108/7 = 15.4

The approximate mean absolute deviation for this list of numbers is 15.4

What is Mean Absolute Deaviation ?

The mean absolute deviation (MAD) is the mean (average) distance between each data value and the mean of the data set.

The given data set is 55,35,27,63,49,22,71

Mean of the data set is

= (55+35+27+63+49+22+71)/7

= 322/7

=46

Mean = x' = 46

MAD = (∑ |(xₐ - x')|)/ n

55-46 = 9

32-46 = -11

27-46=-19

63-46=17

49-46 = 3

22-46=-24

71-46=25

MAD = ( 9 + 11 + 19 + 17 +3+ 24+ 25)/7

= 108/7

=15.4

Therefore the approximate mean absolute deviation for this list of numbers is 15.4.

To know more about mean absolute deviation

https://brainly.com/question/10528201

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