Question

The students at Grave middle school will vote on the color of new school uniforms. Jonah surveys a random sample of students at the school to find out which color they will vote for. The results are shown in the table.

Based on the sample, about what percent of students at the school will vote for gray uniforms?

Color: black frequency: 6
Color: Gray frequency:10
color:white frequency:4
color: Tan frequency:4
color: brown frequency:1

Answer 1

To calculate the percent of students who will vote for gray uniforms, we need to first find the total number of students surveyed. We can do this by adding up the frequencies for all the colors:

- Black: 6
- Gray: 10
- White: 4
- Tan: 4
- Brown: 1

Now we can add these together:

\[
6 + 10 + 4 + 4 + 1 = 25
\]

So, the total number of students surveyed is 25.

Next, we find the number of students who voted for gray uniforms, which is 10.

To find the percentage of students who will vote for gray uniforms, we can use the formula:

\[
\text{Percentage} = \left( \frac{\text{Frequency of gray}}{\text{Total frequency}} \right) \times 100
\]

Substituting the values:

\[
\text{Percentage} = \left( \frac{10}{25} \right) \times 100 = 0.4 \times 100 = 40\%
\]

Therefore, about 40% of students at the school will vote for gray uniforms.