Calculate coefficient of variation for the following three data and state which

Question

Calculate coefficient of variation for the following three data and state which data is better based on the variability of the data relative to its mean: [90, 90, 90, 90, 90, 90] [80, 90, 100, 85, 90, 95] [170, 50, 140, 10, 60, 120] Calculate coefficient of variation for the following three data and state which data is better based on the variability of the data relative to its mean: [5, 9, 15, 20, 25, 30] [15, 19, 25, 30, 35, 40] Calculate coefficient of variation for the following three data and state which data is better based on the variability of the data relative to its mean: [5, 7, 10, 11, 15, 20] [15, 21, 30, 33, 45, 60]

Explanation / Answer

1)

(a)The value of mean = 90

variance = 0

Hence standard devition = 0

Hence coefficient of variation = standard deviation / mean *100 = 0

(b)

The value of mean = 90

Hence standard devition = 7.071068

Hence coefficient of variation = standard deviation / mean *100 = 7.071068/90 * 100 = 7.857%

(c)

The value of mean = 91.6667

Hence standard devition = 61.12828

Hence coefficient of variation = standard deviation / mean *100 = 91.6667/ 61.12828 * 100 =66.6854%

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