Question

A random sample of students were surveyed as to how much non-school screen time they had each week (for purposes of the survey, screen time was defined as: time spent online, on social media, watching TV, or playing video games) and if their grade average was above or below 80.
Screen Time
Hours above below
less than 4 hours 8 6
4-8 hours 15 10
8-12 hours 10 18
more than 12 hours 16 18

What percent of the students who spend 8-12 hours a week on screens reported a grade average above 80? Round your answer to the nearest whole number percent.

Answer 1

To find the percentage of students who spend 8-12 hours a week on screens and reported a grade average above 80, we first need to determine the total number of students in that category and then the number of those students who have a grade average above 80.

From the data provided:
- For the group spending 8-12 hours on screens:
- Above 80: 10 students
- Below 80: 18 students

Next, calculate the total number of students in the 8-12 hours category:
\[
\text{Total} = \text{Above 80} + \text{Below 80} = 10 + 18 = 28
\]

Now, we can find the percentage of those students who reported a grade average above 80:
\[
\text{Percentage} = \left( \frac{\text{Number above 80}}{\text{Total number}} \right) \times 100
\]
Substituting the numbers we have:
\[
\text{Percentage} = \left( \frac{10}{28} \right) \times 100
\]

Calculating that:
\[
\text{Percentage} \approx 35.71
\]

Rounding to the nearest whole number:
\[
\text{Percentage} \approx 36\%
\]

Thus, the percentage of students who spend 8-12 hours a week on screens and reported a grade average above 80 is **36%**.