# The lengths of 40 leaves of a plant are measured correctly to the nearest millimetre, and the data obtained is represented in the following table:

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The lengths of 40 leaves of a plant are measured correctly to the nearest millimetre, and the data obtained is represented in the following table:

 Length (in mm) 118-126 127-135 136-144 145-153 154-162 163-171 172-180 Number of Leaves 3 5 9 12 5 4 2

Find the median length of the leaves.

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Here, the classes are not in inclusive form So, we first convert them  in inclusive form by subtracting h/2 from the lower limit and adding h/2 to the upper limit of each ,where h is the difference between the lower limit of a class and the limit of preceding class.

Now, we have