Q11 of 69 Page 7

The length of 40 leaves of a plant are measured correct to the nearest milli-metre and the date obtained is represented in the following table:


Find the median length of the leaves.


We have n = 40


So,


The cumulative Frequency just greater than is 29 then the median class is 144.5 – 153.5 such that


the lower limit (l) = 144.5


cumulative frequency of the class preceding 144.5 – 153.5 (cf) = 17


frequency of the median class 144.5 – 153.5 = 12,


class size (h) = 9


Using the formula,, we have




= 144.5 + 2.25


= 146.75


So, the median length of the leaves is 146.75mm


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