129,328 views
14 votes
14 votes
Incorrect

Your answer Is Incorrect.
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?

User Electrotype
by
3.3k points

1 Answer

18 votes
18 votes

Answer:

2.57

Step-by-step 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