Question

Draw a histogram for the following data:

Marks	No. of Students
$10-20$	$15$
$20-30$	$30$
$30-40$	$50$
$40-50$	$40$
$50-60$	$20$

Answer 1

The given table has marks obtained by $15$ students.

We know that a histogram is a pictorial representation of a grouped frequency distribution using rectangular bars of width equal to the size of the groups and length equal to the corresponding frequency.

Here, the group size is $10$.

Hence, the width of each bar will be $10$.

Also, the height of each bar represents the number of students. For example, $15$ students have got marks between $10-20$, so the height of the rectangular bar representing the class $10-20$ will be $15$. Similarly, we will decide the height of each rectangular bar in the histogram.

Hence, by taking marks on the $x-axis$ and number of students on the $y-axis$, we can construct a histogram as shown above.