Question

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

39	40	37	42	45	51	48	58	50	38
40	39	38	45	46	48	49	52	51	40

prepare a frequency distribution table for the above data.

Answer 1

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.

$Classwidth=\frac{range}{Numberofclasses}=\frac{(58-37)}{5}$

$=\frac{21}{5}$

$\approx 4$.

Hence, the frequency distribution table for the given data is as shown above.