Statistics

Draw a histogram to determine the mode of the following frequency distribution. Also state the modal class.

Class Interval	$80 - 90$	$90 - 100$	$100 - 110$	$110 - 120$	$120 - 130$	$130 - 140$
Frequency	$8$	$10$	$12$	$14$	$7$	$4$

In the histogram, the highest rectangle represents the maximum frequency (or modal class).

Inside this rectangle, draw lines $AC$ and $BD$ diagonally from the upper corners $A$ and $D$ of adjacent rectangles.

Let the point of intersection of $AC$ and $BD$ be $K$.

Draw $KL$ perpendicular to the horizontal axis.

The value of point $L$ on the horizontal axis represents the mode and the class interval in which point $L$ lies is the modal class.

From the figure, mode $= 112$; $\;$ modal class $= 110 - 120$