Step-3

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 for some candidates in a test are 40,45,49,53,61,65,71,79,85,91.Find the 50th percentile?

2

Step

Arrange the given scores in ascending order

40,45,49,53,61,65,71,79,85,91.

3

Step

Total number of observations

n = 10

4

Step

Given percentile value

x = 50

5

Formula:

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

6

Step

Substitute the n,x values in percentile Rank

\$ P_x = (50(10+1)) /100\$

7

Step

Simplification

\$ P_x = (50(11)) /100\$

8

Step

Simplification

\$ P_x = (550) /100\$

9

Step

After simplification

\$ P_x = 5.5 ∼ 6 \$

10

Step

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

6

11

Hint

From the given data (from ascending order)

6th number is 65

12

Step

50th percentile of the given data

A = 65

13

Answer

A

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

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5

Step

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