a. 39 b. 47 c. 49 d. 37
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The mean absolute deviation is 5
The mean = The sum of all the values ÷ The number of values. 18 + 15 + 22 + 18 + 25 + 19 + 23 = 140 : Number of values = 7 Mean = 140 ÷ 7 = 20
9 15 15 15 16 (five data) Range = 16 - 9 = 7 Mean = (9 + 15 + 15 + 15 + 16)/5 = 70/5 = 14 So we have: (9 - 14)2 = (-5)2 = 25 (the square of the difference of data value and the mean value) (15 - 14)2 = 12 = 1, 3(1) = 3 (16 - 14)2 = 22 = 4, the sum is 32 The standard deviation = √(32/5) ≈ 2.5
15
1.4667