To find the percentile for Shaylen's score, we'll follow these steps:
1. Understand the given information:
- Shaylen's score is 455.
- The number of students who scored lower than Shaylen is 4224.
- The total number of students who took the test is 7252.
2. Calculate the percentile:
The formula to calculate the percentile is:
[tex]\[
\text{Percentile} = \left( \frac{\text{Number of students with scores lower than Shaylen}}{\text{Total number of students}} \right) \times 100
\][/tex]
3. Substitute the given numbers into the formula:
[tex]\[
\text{Percentile} = \left( \frac{4224}{7252} \right) \times 100
\][/tex]
4. Perform the division and multiplication:
- First, divide 4224 by 7252 to get approximately 0.58246.
[tex]\[
\frac{4224}{7252} \approx 0.58246
\][/tex]
- Then, multiply by 100 to convert the fraction to a percentage:
[tex]\[
0.58246 \times 100 = 58.246
\][/tex]
5. Round to the nearest whole number:
- To round 58.246 to the nearest percent, we get 58.
So, Shaylen's score of 455 is at the 58th percentile. This means Shaylen scored higher than 58% of the students who took the test.
