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InterviewSolution
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Calculate the mean deviation of the following income groups of five and seven members from their medians:IIncome in ₹IIIncome in ₹400038004200400044004200460044004800460048005800 |
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Answer» Let us calculate the mean deviation for the first data set. Since the data is arranged in ascending order, 4000, 4200, 4400, 4600, 4800 Median = 4400 Total observations = 5 We know that, MD = 1/n ∑ni=1|di| Where, |di| = |xi – M|
MD = 1/n ∑ni=1|di| = 1/5 × 1200 = 240 Let us calculate the mean deviation for the second data set. Since the data is arranged in ascending order, 3800, 4000, 4200, 4400, 4600, 4800, 5800 Median = 4400 Total observations = 7 We know that, MD = 1/n ∑ni=1|di| Where, |di| = |xi – M|
MD = 1/n ∑ni=1|di| = 1/7 × 3200 = 457.14 ∴ The Mean Deviation of set 1 is 240 and set 2 is 457.14 |
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