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Question

The weight (in kgs) of 20 student of  class IX are recorded as follows.
39403742455148585038
40393845464849525140
prepare 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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