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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

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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 =

=

=

=

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

Further Distribution Is Strictly Prohibited.

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