C a l c u l a t e space t h e space c o e f f i c i e n t space o f space v a r i a t i o 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

0-10

10-20

20-30

30-40

40-50

50-60

60-70

70-80

No of persons

20

25

32

40

42

35

10

8

Asked by Topperlearning User | 19th Nov, 2016, 02:51: AM

Expert Answer:

 

Age

No of persons fi

xi

fixi

fixi2

0-10

20

5

100

500

10-20

25

15

375

5625

20-30

32

25

800

20000

30-40

40

35

1400

49000

40-50

42

45

1890

85050

50-60

35

55

1925

105875

60-70

10

65

650

42250

70-80

8

75

600

45000

x with bar on top equals fraction numerator begin display style sum for i of end style f subscript i x subscript i over denominator begin display style sum for i of end style f subscript i end fraction equals 7740 over 212 equals 36.51
sigma equals square root of fraction numerator begin display style sum for i of f subscript i x squared subscript i end style over denominator begin display style sum for i of f subscript i end style end fraction minus 36.51 squared end root
equals square root of 353300 over 212 minus 1332.94 end root
equals square root of 1666.51 minus 1332.94 end root
equals square root of 333.57 end root
equals 18.26
C. V equals fraction numerator sigma over denominator x with bar on top end fraction equals fraction numerator 18.26 over denominator 36.51 end fraction equals 0.50 space o r space 50 percent sign

Answered by  | 19th Nov, 2016, 04:51: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.