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CBSE Class 11-science Answered

The following table represents the age group of employees working in a certain company Age group No of people 15-25 25 25-35 54 35-45 34 45-55 20 Find the mean deviation about mean.
Asked by Topperlearning User | 16 Nov, 2016, 05:12: AM
answered-by-expert Expert Answer

Age Group

xi

No of people fi

fixi

|xi-mean|

fi|xi-mean|

15-25

20

25

500

13.684

324.1

25-35

30

54

1620

3.684

198.936

35-45

40

34

1360

6.316

214.744

45-55

50

20

1000

16.316

352.32

m e a n equals fraction numerator begin display style sum from i equals 1 to 4 of end style f subscript i x subscript i over denominator sum from i equals 1 to 4 of f subscript i end fraction equals fraction numerator 500 plus 1620 plus 1360 plus 1000 over denominator 25 plus 54 plus 34 plus 20 end fraction equals 4480 over 133 equals 33.684 M e a n space d e v i a t i o n equals fraction numerator begin display style sum from i equals 1 to 4 of f subscript i vertical line left parenthesis x subscript i minus m e a n right parenthesis vertical line end style over denominator sum from i equals 1 to 4 of f subscript i end fraction equals fraction numerator 324.1 plus 198.936 plus 214.744 plus 352.32 over denominator 133 end fraction equals fraction numerator 1090.1 over denominator 113 end fraction equals 8.196

Answered by | 16 Nov, 2016, 07:12: AM

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