Step-4

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

The scores are 7,3,12,15,14,4 and 20. Determine the 35th percentile

2

Step

Arrange the given scores in ascending order

3,4,7,12,14,15,20

3

Step

Total number of observations

n = 7

4

Step

Given percentile value

x = 35

5

Formula:

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

6

Step

Substitute the n,x values in percentile Rank

\$ P_x = (35(7+1)) /100\$

7

Step

Simplification

\$ P_x = (35(8)) /100\$

8

Step

Simplification

\$ P_x = (280) /100\$

9

Step

After simplification

\$ P_x = 2.8 ∼ 3 \$

10

Step

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

3

11

Hint

From the given data (from ascending order)

3rd number is 7

12

Step

35th percentile of the given data

D = 7

13

Answer

D

Tutor: Questions

Seq Type Question Audio

1

Problem

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2

Clue

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3

Hint

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4

Step

What did you learn from the Steps?

5

Step

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