N/a

1. Good
Morning!

2. “REVIEW”

3. - are the ninety nine
scores which divides the
data into hundred equal
parts.
PERCENTILES

4. 25% of the 50% of the 75% of the
data is≤ 𝑄1𝑜𝑟𝑃25 data is ≤ 𝑄2𝑜𝑟𝑃50 data is ≤ 𝑄3𝑜𝑟𝑃75
PERCENTILES VS.
QUARTILES

5. PERCENTILES TO
DECILES
𝑫𝟏 𝑫𝟐 𝑫𝟑 𝑫𝟒 𝑫𝟓 𝑫𝟔 𝑫𝟕 𝑫𝟖 𝑫𝟗

6. MENDENHALL AND SINCICH METHOD
𝑷𝒌 =
𝒌
𝟏𝟎𝟎
𝒏 + 𝟏
whereas: k=1,2,3…100
n= number of total data
Round up Round down

7. Final grades of Reimar for the first
semester A.Y. 22-23.
Determine the 20th, 45th, and 70th
percentile.
Example #1

8. a. Arrange the data in ascending order.
84, 86, 86, 89, 90, 91, 92, 93, 94, 95, 98
b. Determine the 20th, 45th, and 70th
percentile.
Basic step of
Percentile

9. Calculate the value of 𝑃20.
𝑃𝑘 =
𝑘
100
𝑛 + 1 𝑃20 = 2.4
𝑃20=
20
100
11 + 1 𝑷𝟐𝟎= 3rd
𝑃20 =
20
100
12
𝑃20 =
1
5
12
𝑃20 =
12
5
Basic step of
Percentile
𝑷𝟐𝟎 = 86
𝑻𝒉𝒆𝒓𝒆𝒇𝒐𝒓𝒆, 𝟐𝟎% 𝒐𝒇 𝑹𝒆𝒊𝒎𝒂𝒓𝒔
𝒇𝒊𝒏𝒂𝒍 𝒈𝒓𝒂𝒅𝒆 𝒇𝒐𝒓 𝒕𝒉𝒆 𝒇𝒊𝒓𝒔𝒕
𝒔𝒆𝒎𝒆𝒔𝒕𝒆𝒓 𝒊𝒔 ≤ 𝟖𝟔.

10. Calculate the value of 𝑃45.
𝑃𝑘 =
𝑘
100
𝑛 + 1 𝑃45 = 5.4
𝑃45=
45
100
11 + 1 𝑷𝟒𝟓= 6th
𝑃45 =
9
20
12
𝑃45 =
108
20
Basic step of
Percentile
𝑷𝟒𝟓 = 91
𝑻𝒉𝒆𝒓𝒆𝒇𝒐𝒓𝒆, 𝟒𝟓% 𝒐𝒇 𝑹𝒆𝒊𝒎𝒂𝒓𝒔
𝒇𝒊𝒏𝒂𝒍 𝒈𝒓𝒂𝒅𝒆 𝒇𝒐𝒓 𝒕𝒉𝒆 𝒇𝒊𝒓𝒔𝒕
𝒔𝒆𝒎𝒆𝒔𝒕𝒆𝒓 𝒊𝒔 ≤ 𝟗𝟏.

11. Calculate the value of 𝑃70.
𝑃𝑘 =
𝑘
100
𝑛 + 1 𝑃70 = 8.4
𝑃70=
70
100
11 + 1 𝑷𝟕𝟎= 8th
𝑃70 =
7
10
12
𝑃70 =
84
10
Basic step of
Percentile
𝑷𝟕𝟎 = 93
𝑻𝒉𝒆𝒓𝒆𝒇𝒐𝒓𝒆, 𝟕𝟎% 𝒐𝒇 𝑹𝒆𝒊𝒎𝒂𝒓𝒔
𝒇𝒊𝒏𝒂𝒍 𝒈𝒓𝒂𝒅𝒆 𝒇𝒐𝒓 𝒕𝒉𝒆 𝒇𝒊𝒓𝒔𝒕
𝒔𝒆𝒎𝒆𝒔𝒕𝒆𝒓 𝒊𝒔 ≤ 𝟗𝟑.

12. GENERALIZATIO
N

13. EVALUATIO
N

14. Answer the following:
1. Find the 30th percentile, and 70th percentile.
Given the scores of 9 students in their
mathematics performance task.
16, 7, 31, 7, 30, 31, 3, 4, 21
2. Find the 50th percentile, given the scores of 11
students in their mathematics activity.
1, 27, 16, 7, 31, 7, 30, 31, 3, 4, 21

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