Step-1

Title: Percentile Range

Grade: 9-a Lesson: S2-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Step Type Explanation Answer

1

Problem

The math test scores were: 50,65,70,72,72,78,80,82,84,84,85,86,88,88,90,94,96,98,98,99

Find the percentile rank for a score of 84 on this test.

2

Formula:

Percentile = \$"Number of values below x" / "Total number of values " \$ × 100

3

Step

Arrange the data in ascending order

50,65,70,72,72,78,80,82,84
84,85,86,88,88,90,94,96,98,98,99

4

Step

Total number of values 'N' = 20

Number of values below '84' = 8

5

Step

Percentile

\$8/20\$ × 100

6

Step

Simplification

\$2/5\$ × 100

7

Step

After simplification

\$0.4 × 100 \$ ⇒ 40

8

Step

P = 40

84 marks point at 40th percentile.

9

Answer

D

Tutor: Questions

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2

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5

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