Question

Choose the correct less than type ogive curve for the given data.

$$\begin{array}{cc}\text{Class}& \text{Frequency}\\ 5-10& 3\\ 10-15& 6\\ 15-20& 9\\ 20-25& 12\\ 25-30& 8\\ 30-35& 10\end{array}$$

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Prepare a cumulative frequency table.

$$\begin{array}{cc}\text{Range}& \text{Cumulative frequency}\\ \text{Less than}10& 3\\ \text{Less than}15& 3+6=9\\ \text{Less than}20& 9+9=18\\ \text{Less than}25& 18+12=30\\ \text{Less than}30& 30+8=38\\ \text{Less than}35& 38+10=48\end{array}$$

The points to be plotted in the graph are (10,3) , (15,9) , (20,18) , (25,30) , (30,38) and (35,48).

By plotting the points, we get the above curve as the less than ogive curve for the given data.