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Question Video: Finding the Missing Values in a Cumulative Frequency Table Mathematics • 9th Grade

The table shows the ages of people applying to a company. What are the missing values from the cumulative frequency table respectively?

02:20

Video Transcript

The following table shows the ages of people applying to a company. What are the missing values from the cumulative frequency table respectively?

In this question, we are given a grouped frequency table of the ages of people applying to a job. And we want to find the missing values in the table. To do this, we can start by recalling that the cumulative frequency is the running total of the frequencies. This means that we can calculate the cumulative frequency by adding all of the previous frequencies together.

The first cumulative frequency is just equal to the frequency in the first group, which is two. If we wanted to calculate the cumulative frequency in the second group, we would need to add the frequency of five onto the previous cumulative frequency to obtain five plus two equals seven. Of course, we are already given that the cumulative frequency in this group is seven.

We can follow the same process for the missing entries. In the third group, we need to add its frequency of 10 onto the previous cumulative frequency of seven, which we can calculate is equal to 17. For the next missing entry, we add the frequency of 12 onto the previous cumulative frequency of 31 to get 43. For the final cumulative frequency, there are two ways that we can find its value. Either we can use the fact that the final cumulative frequency is always equal to the total population to see that it is equal to 69. Or we can follow the same process we did before to add the frequency of seven onto the previous cumulative frequency of 62 to get 69.

Hence, the missing values from the cumulative frequency table in order are two, 17, 43, and 69.

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