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
Send data to calculator
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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