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On a reading test, Shaylen's score of 455 was higher than the scores of 4,224 of the 7,252 students who took the test. Find the percentile, rounded to the nearest percent, for Shaylen's score.



Answer :

GinnyAnswer
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.

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