Mean deviation about mean from the following data:xi: 3 9 17 23 27fi: 8 10 12 9 5, is

Calculation of mean deviation about mean.

x i

f i

f_{i} x_{i}

|x_{i} - 15|

f_{i} |x_{i} - 15|

204

207

135

$N = Σ f_{i} = 44 Σ f_{i} x_{i} = 660 Σ f_{i} |x_{i} - 15| = 312$

mean $= \bar{X} = \frac{Σ f_{i} x_{i}}{N} = \frac{660}{44} = 15$

Mean deviation $= M \cdot D \cdot = \frac{1}{N} Σ f_{i} |x_{i} - 15| = \frac{312}{44} = 7.09 ≃ 7$

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