Find the mean deviation about the mean for the data
$X_{i}$ 10 30 50 70 90
$f_{i}$ 4 24 28 16 8

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Find the mean deviation about the mean for the data

$X_{i}$	10	30	50	70	90
$f_{i}$	4	24	28	16	8

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Text solutionVerified

N = i = 1 \sum 5 f_{1} = 80,

i = 1 \sum 5 f_{1} x_{i} = 4000

∴ \overset{ˉ}{X} = \frac{1}{N} i = 1 \sum 5 f_{1} X_{1} = \frac{1}{80} \times 4000 = 50

∴ M D (\overset{x}{ˉ}) = \frac{1}{N} i = 1 \sum 1 f_{1} ∣ x_{i} - \overset{x}{ˉ} ∣= \frac{1}{80} \times 1280 = 16

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Question Text	Find the mean deviation about the mean for the data
Answer Type	Text solution:1
Upvotes	150