Advanced Placement (AP) High School

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The data set below has 7 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
17, 17, 16, 17, 23, 22, 21
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what is the answer?

Answers

Answer 1

Answer:

2.57

Explanation:

Given the data:

X : 17, 17, 16, 17, 23, 22, 21

Mean absolute deviation (MAD) :

Σ|x - xbar| ÷ n

xbar = Σx/ n

n = 7

Σx = (17 + 17 + 16 + 17 + 23 + 22 + 21) = 8

xbar = 133/7 = 19

|x - xbar| :

|17 - 19|= 2

|17 - 19| = 2

|16 - 19| = 3

|17 - 19| = 2

|23 - 19| = 4

|22 - 19| = 3

|21 - 19| = 2

Therefore,

MAD = (2+2+3+2+4+3+2) / 7

MAD = 18 / 7

MAD = 2.57

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