Step-5

Title: Percentile

Grade: 9-a Lesson: S2-L5

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

Step Type Explanation Answer

1

Problem

For the scores 3, 5, 7, 9, 12, 21, 25, 30.calculate the 25th percentile

2

Step

Arrange the given scores in ascending order

3, 5, 7, 9, 12, 21, 25, 30

3

Step

Total number of observations

n = 8

4

Step

Given percentile value

x = 25

5

Formula:

Percentile Rank \$ P_x = (x(n+1)) /100\$

6

Step

Substitute the n,x values in percentile Rank

\$ P_x = (25(8+1)) /100\$

7

Step

Simplification

\$ P_x = (25(9)) /100\$

8

Step

Simplification

\$ P_x = (225) /100\$

9

Step

After simplification

\$ P_x = 2.25 ∼ 2 \$

10

Step

Count the value from left to right in the given data set

2

11

Hint

From the given data (from ascending order)

2nd number is 5

12

Step

25th percentile of the given data

C = 5

13

Answer

C

Tutor: Questions

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1

Problem

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2

Clue

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3

Hint

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4

Step

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5

Step

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