Question

The class president collected data on 150 randomly selected 17-year-olds at his school. He surveyed students on if they had a job and driver’s license. The results are shown below. 93 of the 17-year olds had a job 128 of the 17-year olds had a driver’s license 76 of the students had both a job and a driver’s license Part A: Construct a two-way frequency table summarizing the data. Part B: What percent of the students who have a job, do not have a driver’s license?

Answer 1

Explanation:

Part A can be seen in the attached picture below. Since there are 76 students that have both a license and a job we need to subtract 76 from each to get the amount that only have either a license or a job as seen in the table. Also we can see from the table that it sums up to 145 students, meaning that 5 students do not have neither a job or a license.

Part B, to calculate this we need to divide the amount of students that ONLY have a job by the total amount of students that have a job (since the rest of those students also have a license) Therefore:

17 / 93 = 0.1828

Now we can multiply this result by 100 to get the percentage.

0.1828 * 100 = 18.28%