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Question

The mean deviation about the mean for the following data :
xi2345678fi5234542
is

A
2.3
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B
3.4
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C
4
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D
1.66
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Solution

The correct option is D 1.66
xififixi|xi¯x|fi|xi¯x|25102.8814.43261.883.7643120.882.6454200.120.4865301.125.674282.128.4882163.126.24fi=25fixi=122fi|xi¯x|=41.6

¯x=fixifi=12225=4.88
Mean deviation =fi|xi¯x|fi=41.625=1.66

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