**Question:**

Draw a frequency polygon for the following frequency distribution.

**Solution:**

Though the given frequency table is in inclusive form, class marks in case of inclusive and exclusive forms are the same.

We take the imagined classes (

Thus, we have:

Along the *x*-axis, we mark –4.5, 5.5, 15.5, 25.5, 35.5, 45.5, 55.5 and 65.5.

Along the *y*-axis, we mark 0, 8, 3, 6, 12, 2, 7 and 0.

We have chosen the scale as follows :

On the *x*-axis, 1 big division = 10 units.

On the *y*-axis, 1 big division = 1 unit.

We plot the points *A*(–4.5,0), *B*(5.5, 8), *C*(15.5, 3), *D*(25.5, 6),* E*(35.5, 12), *F*(45.5, 2), *G*(55.5, 7) and *H*(65.5, 0).

We draw line segments *AB, BC, CD, DE, EF, FG, GH *to obtain the required frequency polygon, as shown below.