Hi what are the options given ?
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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