Project-Points-Percentile Rank cezar.pptx

Grade 10
Fourth Quarter
Percentile Rank
Measures of Position; Percentile Rank
(M10SP-IVd-e-1)
1
2
3
4
5
Lesson

Grade 10
Fourth Quarter
Objective
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2
3
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5
Lesson
1. Calculate the Percentile Rank of
ungrouped data and grouped data
2. Value accumulated knowledge as
means of new understanding.
3. Appreciate the concept of measures of
position in real-life situations.

Activate Prior Knowledge
1
PERCENTILE RANK
Percentile ranks are particularly useful in relating individual scores to
their positions in the entire group. A percentile rank is typically defined as the
proportion of scores in a distribution that a specific score is greater than or
equal to.
For instance, if you received a score of 95 on a Mathematics test and
this score was greater than or equal to the scores of 88% of the students taking
the test, then your percentile rank would be 88

Activate Prior Knowledge
1
Percentile rank is typically defined
as the proportion of scores in a
distribution that a specific score is
greater than or equal to.

Acquire New Knowledge
2
An example is the National Career Assessment Examination
(NCAE) given to
Grade 9 students. The scores of students are represented by
their percentile ranks.

2
where:
PR = percentile rank, the answer will be a percentage
𝑐𝑓 = cumulative frequency of all the
values below the critical value
n = total frequency

2
A teacher gave a 20 – item quiz to 10 students. The
scores are as follows 12, 14, 10, 19, 12, 11, 9, 18, 9, 20.
Find the percentile rank of 14.
Illustrative Examples:

2
Step 1
Step 2
Step 3
Step 4
Step 5 Therefore, the student with a score of
14 did better than 65% of the class.
Solutions:

2
A teacher gave a 20 – item quiz to 10 students. The
scores are as follows 12, 14, 10, 19, 12, 11, 9, 18, 9, 20.
Find the percentile rank of 12.
Illustrative Examples:

2
Step 1
Step 2
Step 3
Step 4
Step 5 Therefore, the student with a score of
12 did better than 50% of the class.
Solutions:

2
where:
PR = percentile rank, the answer will be a percentage
𝑐𝑓p = cumulative frequency of all the values below the critical value
P = raw score or value for which one wants to find a percentile rank
LB = lower boundary of the kth percentile class
𝑓p = frequency of the percentile class
N = total frequency
i = size of the class interval

2
1. Assume that a researcher wanted to know the percentage of consultants
who made ₱5,400 or more per day.

2
Solutions:
₱5,400 is within 5200 – 6399
LB = 5199.5
N = 120
P = 5400
𝑐𝑓𝑝 = 60
𝑓𝑝 = 36
i =1200

2
Substituting the following given in the formula:
𝑃𝑅 = 55.01 Round off the resulting value to the nearest whole number.
Therefore, 55% of consultants make ₱5,400 or less per day and 45% of
consultants make ₱5,400 or more per day.

2 Illustrative Examples:

Application
3
Answer the following:

Assessment
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1. _______________of the distribution are below the 1st quartile.
A
C
B
D
25%
50%
35%
100%

Assessment
4
A
C
B
D
2. Which of the following is the meaning of the statement “You are in the 91st
percentile of your batch in the entrance test” ?
Your standing in the batch is
as lower as the 91% of the
batch.
Your standing in the batch is
as equal as the 91% of the
batch.
Your standing in the
batch is as higher than
the 91% of the batch.
Your standing 91% grade

Assessment
4
A
C
B
D
3. It is one of the measures of position that divides the data into hundred
equal parts?
Quartile Decile
Percentile Mean

Assessment
4
A
C
B
D
4. The scores of 20 learners in a 50 – item Mathematics test are as follows. If Miguel’s
score is 32, find his percentile rank.
43rd
63rd
53rd
33rd

Assessment
4
A
C
B
D
5. A teacher gave a 20 – item quiz to 10 students. The
scores are as follows 12, 14, 10, 19, 12, 11, 9, 18, 9, 20. Find
the percentile rank of 12.
45th
55th 65th
50th

Additional Activity
5
A
C
B
D
5
4. In Math scores; 5 4 7 8 9 6 4 7 8 9 7, which is the
1st
quartile ?
6
7 8

Project-Points-Percentile Rank cezar.pptx

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