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CBSE Class 11-science Answered

F i n d space t h e space m e a n space d e v i a t i o n space a b o u t space m e d i a n space f o r space t h e space f o l l o w i n g space d a t a colon AGE GROUP NO OF PEOPLE 5-15 5 15-25 9 25-35 7 35-45 3 45-55 8
Asked by Topperlearning User | 16 Nov, 2016, 05:50: AM
answered-by-expert Expert Answer

Age Group

Frequency

Cumulative frequency

Mid point

|xi-median|

fi|xi-median|

5-15

5

5

10

17.42

87.1

15-25

9

14

20

7.42

66.78

25-35

7

21

30

2.58

18.06

35-45

3

24

40

12.58

37.74

45-55

8

32

50

22.58

180.64

N equals sum for i of f subscript i equals 5 plus 9 plus 7 plus 3 plus 8 equals 32 N divided by 2 equals 16 space t h e space c u m u l a t i v e space f r e q u e n c y space g r e a t e r space t h a n space 16 space i s space 21 because space t h e space c l a s s space 25 minus 35 space i s space t h e space m e d i a n space c l a s s. M e d i a n equals l plus fraction numerator N divided by 2 minus C over denominator f end fraction h equals 25 plus fraction numerator 16 minus 14 over denominator 7 end fraction cross times 10 equals 27.42 T h e space m e a n space d e v i a t i o n space a b o u t space m e d i a n space i s fraction numerator begin display style sum for i of end style f subscript i vertical line x subscript i minus m e d i a n vertical line over denominator sum for i of f subscript i end fraction equals fraction numerator 87.1 plus 66.78 plus 18.06 plus 37.74 plus 180.64 over denominator 32 end fraction equals fraction numerator 390.32 over denominator 32 end fraction equals 12.91

Answered by | 16 Nov, 2016, 07:50: AM

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