Draw a histogram for the following frequency distribution and find the mode from the graph.
| Class Interval | $0 - 5$ | $5 - 10$ | $10 - 15$ | $15 - 20$ | $20 - 25$ | $25 - 30$ |
|---|---|---|---|---|---|---|
| Frequency | $2$ | $5$ | $10$ | $14$ | $8$ | $5$ |
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 $= 17$