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To find the relative frequency of the value by row, we calculate the ratio of the value and the total in that row.
See solution.
We know that there are 100 students that do not have an after-school job. Out of these 100 students, 67 students are on the honor roll. Let's create a two-way frequency table.
Have an After-School Job | Do Not Have an After-School Job | Total | |
---|---|---|---|
On the Honor Roll | 67 | ||
Not on the Honor Roll | |||
Total | 100 |
Now let's look at Jasmine's interpretation of the data!
Next, we also know that there are 100 students who do not have a job. This means that we can calculate the conditional relative frequency by column. To do so, we will calculate the ratio of the number of the students that are on the honor roll and do not have after-school jobs to the total number of students who have an after-school job.
Have an After-School Job | Do Not Have an After-School Job | Total | |
---|---|---|---|
On the Honor Roll | ? | 67;10067=0.67 | ? |
Not on the Honor Roll | |||
Total | 100 |
Looking at the table, we can see that the relative frequency of students that do not have an after-school job and are on the honor roll to the total number of students who do not have a job is 0.67. This means that Jasmine should have said that more than half of the students that do not have after-school jobs are on the honor roll.