Let us find the median of length of diameter from the following frequency distribution table of length of diameter of pipe.
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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:
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⇒ ![]()
⇒ 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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Generated by AI. May contain inaccuracies — always verify with your textbook.


