Draw a histogram and estimate the mode for the following frequency distribution :
Draw a histogram and estimate the mode for the following frequency distribution :
Classes 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 2 8 10 5 4 3

Solution:

Construct histogram using given data.

Classes 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 2 8 10 5 4 3

Represent classes on X-axis and frequency on Y-axis.

Take scale: X axis : 2 cm = 10 (class interval)

Y axis : 1 cm = 1 (frequency)

In the highest rectangle, draw two straight lines AC and BD.

P is the point of intersection.

Draw a vertical line through P to meet the X-axis at M.

The abscissa of M is 23.

Hence the mode is 23.