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Note: You will always find the different values of J when calculated by Karl Pearson’s and Bowley’s formula. But the value of J by Bowley’s formula always lies with ± 1.

Example The following table gives the frequency distribution of 291 workers of a factory according to their average monthly income in 1945 - 55.

Income group ($) :

No.of workers :

Below 50

1

50-70

16

70-90

39

90-110

58

110-130

60

130-150

46

150-170

22

170-190

15

190-210

15

210-230

9

230 & above

10


Solution:

Income group

f

c.f.

Below 50

1

1

50 - 70

16

17

70 - 90

39

56

90 - 110

58

114

110 - 130

60

174

130 - 150

46

220

150 - 170

22

242

170 - 190

15

257

190 - 210

15

252

210 - 230

9

281

230 & above

10

291

n = S f = 291

Calculations :

1) Median = Size of item

= Size of item

= Size of 146th item which lies in (100-130) class interval.

\ Me =

=

=

=

[next page]

Index

5.1 Introduction
5.2 Methods of computing dispersion
5.3 Range
5.4 Mean Deviation
5.5 Variance
5.6 Coefficient of Variation
5.7 Percentile
5.8 Quartiles and interquartile range
5.9 Skewness moments and Kurtosis
5.10 Kurtosis

Chapter 6





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