Q. 64.5( 11 Votes )

Let us find the median of length of diameter from the following frequency distribution table of length of diameter of pipe.


Answer :

To find out median, we need to calculate cumulative frequency for the given data.

Let us make a table for that.



Here, n = 80, that is, n = even.


Since, n is even, median can be found out as:




Median = The mean of 40th and 41th observations


And we know that, 40th observation = 22 [ 40 comes between 33 and 57]


And 41th observation = 22 [ 41 comes between 33 and 57]


Median = Mean of 22 and 22




Median = 22


Thus, median = 22.


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