Lesson Example Discussion Quiz: Class Homework |
Step-2 |
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 |
In a college, a list of grades of 12 students has been declared. Their grades are:85,34,42,51,84,86,78,85,87,69,74,65.Find the 80th percentile? |
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2 |
Step |
Arrange the given grades in ascending order |
34,42,51,65,69,74,78,84,85,85,86,87. |
3 |
Step |
Total number of observations |
n = 12 |
4 |
Step |
Given percentile value |
x = 80 |
5 |
Formula: |
Percentile Rank \$ P_x = (x(n+1)) /100\$ |
|
6 |
Step |
Substitute the n,x values in percentile Rank |
\$ P_x = (80(12+1)) /100\$ |
7 |
Step |
Simplification |
\$ P_x = (80(13)) /100\$ |
8 |
Step |
Simplification |
\$ P_x = (1040) /100\$ |
9 |
Step |
After simplification |
\$ P_x = 10.4 ∼ 10 \$ |
10 |
Step |
Count the value from left to right in the given data set |
10 |
11 |
Hint |
From the given data (from ascending order) |
10th number is 85 |
12 |
Step |
80th percentile of the given data |
B = 8 |
13 |
Answer |
B |
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Tutor: Questions
| Seq | Type | Question | Audio |
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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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