Q. 44.5( 160 Votes )

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

Find the median length of the leaves

(Hint: The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5)

Answer :

The cumulative frequency of the data can be calculated as:

As per the question,

N= 40

Hence,

Median class =144.5-153.5

Lower limit, l = 144.5

cf = 17

f = 12

h = 9

Now,

Median can be calculated as:

= 144.5 +

= 146.75

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