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The following table gives the frequency distribution of married women by age at marriage

 Age (in years)  Frequency  Age (in years)  Frequency
 15 - 19  53  40 - 44 9
 20 - 24  140 45 - 49 5
 25 - 29  98 50 - 54 3
 30 - 34 32 55 - 59 3
 35 - 39 12 60 and above 2

Calculate the median and interpret the results.

1 Answer

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Best answer

\(N = 357\)

\(\frac{N}{2}=\frac{357}{2}=178.5\)

The cumulative frequency just greater than \(\frac{N}{2}\)is 193 then the median class is 19.5-24.5 such that:

l = 19.5, f = 140, F = 53, h = 5

Median = l + \(\frac{\frac{N}{2}-F}{f}\times h\)

\(=19.5+\frac{178.5-53}{140}\times5=23.98\)

Nearly half the women were married between the age 15 and 25

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