3. - are the nine scores which
divides the data into ten equal
parts.
DECILES
4. MENDENHALL AND SINCICH METHOD
𝑫𝒌 =
𝒌
𝟏𝟎
𝒏 + 𝟏
whereas: k=1,2,3…9
n= number of total
data
Round up Round down
5. Scores of Grade-10 Copper in a 50
item summative test.Find the 1st
Decile and 6th Decile.
Example #1
6. a. Arrange the data in ascending
order.
b. Calculate the value of 𝐷1.
𝐷𝑘
=
𝑘
10
(𝑛 + 1)
Basic step of
Decile
7. b. Calculate the value of 𝐷1.
𝐷𝑘=
𝑘
10
𝑛 + 1 𝐷1 = 1.6
𝐷1=
1
10
15 + 1
𝐷1 =
1
10
(16)
Basic step of
Decile
𝑫𝟏= 2nd
𝟏𝟎% 𝒐𝒇 𝒕𝒉𝒆 𝒔𝒕𝒖𝒅𝒆𝒏𝒕𝒔
𝒔𝒄𝒐𝒓𝒆 𝒊𝒔 ≤ 𝟏𝟏.
8. b. Calculate the value of 𝐷6.
𝐷𝑘=
𝑘
10
𝑛 + 1 𝐷6 = 9.6
𝐷6=
6
10
15 + 1
𝐷6 =
6
10
(16)
Basic step of
Decile
𝑫𝟔= 9th
6𝟎% 𝒐𝒇 𝒕𝒉𝒆 𝒔𝒕𝒖𝒅𝒆𝒏𝒕𝒔
𝒔𝒄𝒐𝒓𝒆 𝒊𝒔 ≤ 𝟑𝟐.
𝑫𝟔= 32
9. The list below shows the test of
9 students. Find the 3rd decile
and 7th Decile.
18 21 20 17 15 29 27 22 28
Example #2
10. The list below shows the test of
9 students. Find the 3rd decile and 7th
Decile.
a. Arrange the data to ascending order
15 17 18 20 21 22 27 28 29
Example #2
11. b. Calculate the value of 𝐷3.
𝐷𝑘=
𝑘
10
𝑛 + 1 𝐷1 = 3𝑟𝑑
𝐷3=
3
10
9 + 1
𝐷3 =
3
10
(10)
Basic step of
Decile
𝑫𝟏= 18
3𝟎% 𝒐𝒇 𝒕𝒉𝒆 𝒔𝒕𝒖𝒅𝒆𝒏𝒕𝒔
𝒔𝒄𝒐𝒓𝒆 𝒊𝒔 ≤ 𝟏𝟖.
12. c. Calculate the value of 𝐷3.
𝐷𝑘=
𝑘
10
𝑛 + 1 𝐷1 = 7𝑡ℎ
𝐷7=
7
10
9 + 1
𝐷7 =
7
10
(10)
Basic step of
Decile
𝑫𝟏= 27
7𝟎% 𝒐𝒇 𝒕𝒉𝒆 𝒔𝒕𝒖𝒅𝒆𝒏𝒕𝒔
𝒔𝒄𝒐𝒓𝒆 𝒊𝒔 ≤ 𝟐𝟕.
15. Answer the following:
1. A group of student obtained the following
score in statistics quiz.4, 8, 9, 12, 7, 15, 14, 6,
10, 11. Find the 4th Decile and 8th Decile.
2. The following are the score of 12 students of
grade -10 in their 30 item math test. Find the
5th decile and 9th Decile.
24, 28, 18, 11, 8, 5, 23, 20, 19, 12, 24, 21
16.
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