Question

Computer mean and mean devation
about mean for the following
observations. 40, 47, 38, 41, 40​

Answer 1

Answer:

To calculate the Median (M), let us arrange the numbers in ascending order. Median is the middle number of all the observation. 22, 24, 25, 27, 28, 29, 30, 31, 41, 42 Here the Number of observations are Even then Median = (28 + 29)/2 = 28.5 Median = 28.5 and n = 10 By using the formula to calculate Mean Deviation, MD = 1/n ∑ni=1|di| xi |di| = |xi – 28.5| 22 6.5 24 4.5 30 1.5 27 1.5 29 0.5 31 2.5 25 3.5 28 0.5 41 12.5 42 13.5 Total 47 MD = 1/n ∑ni=1|di| = 1/10 × 47 = 4.7 ∴ The Mean Deviation is 4.7

Answer 2

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To calculate the Median (M), let us arrange the numbers in ascending order. Median is the middle number of all the observation. 22, 24, 25, 27, 28, 29, 30, 31, 41, 42 Here the Number of observations are Even then Median = (28 + 29)/2 = 28.5 Median = 28.5 and n = 10 By using the formula to calculate Mean Deviation, MD = 1/n ∑ni=1|di| xi |di| = |xi – 28.5| 22 6.5 24 4.5 30 1.5 27 1.5 29 0.5 31 2.5 25 3.5 28 0.5 41 12.5 42 13.5 Total 47 MD = 1/n ∑ni=1|di| = 1/10 × 47 = 4.7 ∴ The Mean Deviation is 4.7