Question

200 people record the number of hours they work in a week. The cumulative frequency graph shows this information. Omar uses the graph to make the following frequency table. Use the graph to find the values of p and q. show your working .​

Answer 1

Based on the graph, we can estimate the values of p and q as follows:

The total number of hours worked by the 200 people is the maximum value on the y-axis of the cumulative frequency graph, which appears to be around 2100 hours.

The value of p corresponds to the number of people who worked between 35 and 50 hours per week. According to the frequency table, this is 70 people. From the graph, we can estimate that the corresponding cumulative frequency is around 130 people.

The value of q corresponds to the number of people who worked more than 50 hours per week. According to the frequency table, this is 30 people. From the graph, we can estimate that the corresponding cumulative frequency is around 160 people.

Using this information, we can calculate the values of p and q as follows:

p = 130 - 60 = 70

q = 200 - 160 = 40

Therefore, the estimated values of p and q are 70 and 40, respectively.