Question

Construct the histogram for the following grouped frequency distribution.

Class intervals	Frequency
0-35	42
35-50	30
50-60	20
60-100	48

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Class length is varying so frequency per unit class has to be calculated and histogram has to be constructed with respective heights. For convenience least class length is taken as unit class length.

Modified length = $\frac{\text{Frequency of the class}}{\text{Length of that class}}\times \text{Least Class length}$

Class intervals	Frequency	Class length	Modified Length
0-35	42	35	$\frac{42}{35}\times 10$ =12
35-50	30	15	$\frac{30}{15}\times 10$ =20
50-60	20	10	$\frac{20}{10}\times 10$ =20
60-100	48	40	$\frac{48}{40}\times 10$ =12

Choose suitable scale :
X-axis 1 division = 10 class interval unit
Y-axis 1 division = 4 frequency unit

Now we draw the rectangles with class intervals as bases and the corresponding frequencies as the corresponding heights.
$\therefore$ Histogram for the givendata is: