Question

# The weight (in kgs) of 20 student of  class IX are recorded as follows.3940374245514858503840393845464849525140prepare a frequency distribution table for the above data.

Solution

## Interval Frequency  $$37-40$$ $$8$$  $$41-44$$ $$1$$  $$45-48$$ $$5$$  $$49-52$$ $$5$$  $$53-56$$ $$0$$  $$57-60$$ $$1$$Herer, $$n=20$$After Sorting the given numbers, we get;lower limit $$= 37$$$$\therefore \$$ Number of classes $$= \sqrt{n}=\sqrt{20}$$, Between $$4$$ and $$5$$Let us take $$5$$  and proceed.$$Class \ width=\dfrac{range}{Number \ of \ classes}=\dfrac{(58-37)}{5}$$$$=\dfrac{21}{5}$$ $$\approx4$$.Hence, the frequency distribution table for the given data is as shown above.Mathematics

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