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Q.Find the mean deviation from the mean of the following discrete data : 3,6,10,4,9,103, 6, 10, 4, 9, 10.

Andhra Pradesh BieapBIEAP Intermediate Board 2020Subjective· 2mImportance★★★★★
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Find the mean, take absolute deviations of every value from it, and average those deviations.

Data: 3,6,10,4,9,103, 6, 10, 4, 9, 10 (n=6n=6).

Mean:

xˉ=3+6+10+4+9+106=426=7\bar x = \frac{3+6+10+4+9+10}{6} = \frac{42}{6} = 7

Absolute deviations from the mean:

xix_i36104910
∣xi−xˉ∣\lvert x_i-\bar x\rvert413323

Sum of absolute deviations =4+1+3+3+2+3=16= 4+1+3+3+2+3 = 16. …

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