If 10 is the mean of the data 2 , 3 , 5 , 18 , 17 , 15 , 13 , x , 9 and 7 , then the mean deviation of this data about its mean is

Question

If 10 is the mean of the data 2 , 3 , 5 , 18 , 17 , 15 , 13 , x , 9 and 7 , then the mean deviation of this data about its mean is, 4 . 7, 4 . 8, 4 . 9, 5 . 0

MARKS App · Accepted Answer

Mean = x ¯ = 10 = 2 + 3 + 5 + 18 + 17 + 15 + 13 + x + 9 + 7 10 ⇒ x = 11 x i x i - x ¯ 2 8 3 7 5 5 18 8 17 7 15 5 13 3 11 1 9 1 7 3 Mean Deviation = ∑ i = 1 10 x i - x ¯ 10 = 48 10 = 4 . 8

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