Question

Based on the data given in the table below, which of the following options would help us correctly plot the "less than" ogive?

$$\begin{array}{cc}WeeklyWages\left(inRupees\right)& NumberofWorkers\\ 0-20& 8\\ 20-40& 22\\ 40-60& 47\\ 60-80& 13\\ 80-100& 10\end{array}$$

• A. $$\begin{array}{cc}WeeklyWages\left(inRupees\right)& LessthanCF\\ 0-20& 8\\ 20-40& 30\\ 40-60& 77\\ 60-80& 90\\ 80-100& 100\end{array}$$
• B. $$\begin{array}{cc}WeeklyWages\left(inRupees\right)& LessthanCF\\ 0-20& 100\\ 20-40& 92\\ 40-60& 70\\ 60-80& 23\\ 80-100& 10\end{array}$$
• C. $$\begin{array}{cc}WeeklyWages\left(inRupees\right)& LessthanCF\\ 0-20& 10\\ 20-40& 30\\ 40-60& 50\\ 60-80& 70\\ 80-100& 90\end{array}$$
• D. $$\begin{array}{cc}WeeklyWages\left(inRupees\right)& LessthanCF\\ 0-20& 8\\ 20-40& 22\\ 40-60& 47\\ 60-80& 23\\ 80-100& 10\end{array}$$

Answer 1

The correct option is A $$\begin{array}{cc}WeeklyWages\left(inRupees\right)& LessthanCF\\ 0-20& 8\\ 20-40& 30\\ 40-60& 77\\ 60-80& 90\\ 80-100& 100\end{array}$$

For a "less than" Ogive plot, we need information regarding the less than cumulative frequency of the dataset. With the frequency provided in the table, the less than cumulative frequency corresponding to a class can be computed by adding the frequencies of the classes up to and including the required class.