I learned in school that Median = L + (n/2-cf)*h/f(adsbygoogle = window.adsbygoogle || []).push({});

where L = lower limit of median class

n = no. of observations

cf = cumulative frequency of class preceding the median class,

f = frequency of median class,

h = class size (assuming class size to be equal).

I used to use this formula for grouped data of fix width like

marks ........ no. of student

0 - 10 .......... 5

10 - 20 ........... 3

20 - 30 ......... 4 and so on.

here grouped data is of fixed width 10=10-0=20-10=30-10 ans so on

BUT how will I calculate median if width is not fixed like

population ........ no. of town

5 - 10 ................. 500

10 - 20 ................. 100

20 - 50 .............. 50

50 - 100 ............. 30

100 - 200 ............. 20

200 - 500 ............... 10

500 - 1000 .................. 3

1000 and above ................. 2

how will I calculate median in this case

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# How to calculate median of grouped data if group size is variable

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