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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 16th November 2016, 5:12 AM
Answered by 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 Expert 16th November 2016, 7:12 AM
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