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Lesson Example Discussion Quiz: Class Homework

Step-1

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

Find the 60th percentile.
There are 25 test scores such as: 72,54,56,61,62,66,68,43,69,69,70,71,77,78,79,85,87,88,89,93,95,96,98,99,99.

2

Step

Arrange the given scores in ascending order

43,54,56,61,62,66,68,69,69,70,71,72
77,78,79,85,87,88,89,93,95,96,98,99,99.

3

Step

Total number of observations

n = 25

4

Step

Given percentile value

x = 60

5

Formula:

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

6

Step

Substitute the n,x values in percentile Rank

\$ P_x = (60(25+1)) /100\$

7

Step

Simplification

\$ P_x = (60(26)) /100\$

8

Step

Simplification

\$ P_x = (1560) /100\$

9

Step

After simplification

\$ P_x = 15.6 ∼ 16 \$

10

Step

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

16

11

Hint

From the given data (from ascending order)

16th number is 85

12

Step

60th percentile of the given data

C = 85

13

Answer

C

Tutor: Questions

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