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 $= 110 - 120$