1. The Measures of Central Tendency
The Mean (x̄)
The Median (Md)
The Mode (Mo)
BY: ANTONIO GABON CORRALES, MAT/MAED
2. OBJECTIVES
1. Find the mean (x̄) using the ungrouped & grouped
data
2. Find the Median (Md) using the ungrouped &
grouped data
3. Identify the Mode (Mo) of using the ungrouped
data and find the mode using the grouped data
4. Interpret the results of the samples using the mean
(x̄), Median (Md), and the Mode (Mo)
3. • Refers to the body if principles, and procedures
developed for the collection, organizing,
summarizing, presentation and analysis of
numerical data.
Statistics
4. • Refers to the measurements of the mean (x̄),
Median (Md), and Mode (Mo)
Central Tendency
7. For interpretation: Arrange the mean from H-S to LS.
X
10
9
8
x̄ 7
6
5
4
3
:. Out of 8 students who took the
10 item quiz in MMW. There were
4 or 50% passed and 4 or 50%
failed
4 Passed
4 Failed
8. Example
For group data of Mean (x̄)
Table 1.1. The 25 item long test in algebra of 20 students who took the test on
October 3, 2022. (5 is CI).
CI f Xi fx
21-25 3 23 69
16-20 9 18 162
11-15 5 13 65
6-10 2 8 16
1-5 1 3 3
n=20
12 Passed
8 Failed
:.Out of 20 students who took the 25 items
test in Algebra. There were 12 or 60%
passed and 8 or 40% failed
9. • Is a point measure that divided the distribution of
arranged test scores from the highest to lowest or
vice-versa in half.
Median (Md)
10. Example
For ungroup data
The 10 item test results in Eng-1 of 8 students.
Scores: 4, 8, 7, 10, 3, 5, 6, 9
X
10
9
8
7
6
5
4
3
4 Passed
4 Failed
Interpretation:
:. Out of 8 students who
took the test in Eng-1.
There were 4 or 50%
had passed and 4 or
50% failed.
12. Table 1.2
CI f Fc<
21-25 3 20
16-20 9 fm 17
11-15 5 8 Fm<
6-10 2 3
1-5 1 1
n=20
8 Failed
12 Passed
13. Interpretation:
:. Out of 20 students who took
the 25 items test in statistics.
There were 12 or 60% had
passed and 8 or 40% failed.
14. • Is define as the score that occurs frequently
(Easiest)
1. Equation Required: For ungrouped data (no
specific formula but the data is justifying the
highest same rank of scores.
• Ex. #1) 4, 5, 8, 9, 8, 10, 7, 5,9
So; 5 and 9 are the mode (Mo) or Mo = 5 & 9
The Mode (Mo)
16. Example
Table 1.3 The test results of 25 item test in Geometry of 20 students
who took the test on October 5, 2022.
CI f
21-25 3 f2
16-20 9 fmo
11-15 5 f1
6-10 2
1-5 1
n=20
12 Passed
8 Failed
17.
Cont…..
:. Out of 20 students who
took the test in Geometry.
There were 12 or 60% had
passed and 8 or 40% failed
18. Practice Tasks:
A. Identify and interpret the ungrouped data below using the mean
(x̄), Median (Md), & Mode (Mo).
• Data: The quiz results in MMW on November 5, 2022.
8, 2, 7, 6, 5, 10, 7, 3, 9, & 4.
B. Find the mean (x̄), Median (Md), & Mode (Mo) of the grouped data
and interpret each results.
Table 1.4 The 30 item test result in MMW of 20 students who took
the test on November 14, 2022, at GSDMSFI, Gensan.
