- The total number of students surveyed is \(950\).
- The percentage of students feeling more focused is \(80\%\).
- The number of students is calculated by multiplying the percentage decimal (\(0.80\)) by the total population (\(950\)).
- The calculation results in \(\boxed{760}\) students.
Explanation
- Analyzing the Problem Data
The survey was conducted with a total of 950 students. We are informed that 80% of these students reported feeling more focused after exercising. To find the number of students who feel more focused, we need to calculate 80% of 950. The provided table breaks the total population into five 20% segments, which helps visualize that 4 out of these 5 segments represent the 80% who feel more focused.
- Calculating the Number of Students
To calculate the number of students, we convert the percentage into a decimal: 80% is equal to 0.80. We then multiply this decimal by the total number of students surveyed:
\[\text{Number of students} = 0.80 \times 950.\]
Performing the multiplication, we calculate:
\[0.80 \times 950 = 760.\]
Thus, 760 students reported feeling more focused after exercising. Comparing this result with the given options (380, 570, 760, 930), the correct choice is 760.
Examples
Understanding percentages is crucial in everyday life for interpreting data and statistics. For example, if a store offers a 25% discount on an item originally priced at \(\$120\), you would calculate the discount by finding 25% of \(\$120\), which is \(0.25 \times 120 = \boxed{\$30}\). Knowing how to perform these calculations helps you make informed decisions, such as understanding savings during sales or interpreting poll results reported in the news.