Find the median of the following data

Question:

Find the median of the following data

Solution:

The given distribution is

We have to find the median of the above distribution.

Now we have to find the cumulative frequency as

From the above distribution median class is 60-70 and

$l=60$

$N=53$

$h=10$

$f=7$

$C=22$

Now we are using the following relation

median $=l+\frac{\frac{N}{2}-C}{f} \times h$

$=60+\frac{\frac{53}{2}-22}{7} \times 10$

$=66.43$

Hence the median of the given distribution is 66.43

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