This document defines and provides examples of the three measures of central tendency: mean, median, and mode. It explains that the mean is the average value found by summing all values and dividing by the total number. The median is the middle value when data is arranged in order. The mode is the most frequently occurring value. The document provides examples of calculating and interpreting these measures. It then gives practice problems asking to find and analyze these values for different data sets.

1. Measures of
Central Tendency
(Ungrouped Data)
Prepared by:
Lenny M. Sanchez
Lilianne D. Soriano
BSEd Math III

2. Objectives:
 I can define mean, median and
mode.
 I can find the mean, median and
mode of the given set of data.
 I can describe the data in terms of
the mean, median and mode.

3. Measures of Central
Tendency
- is simply an average or typical
value in a set of scores.

4. Three Measures of Central
Tendency
1. Mean - is the most commonly used
measure of central tendency. It is used
to describe a set of data where the
measures cluster or concentrate at a
point.

5. Formula:
in which = mean
x = sum of all scores
N, n = number of scores

6. Example:
80, 80, 83, 84, 85
=
= 82.4

7. 2. Median represented by Md - is the
midpoint of the array. The median will
be either a specific value or will fall
between two values.
Example:
The math grades of ten students are 85,
80, 88, 83, 87, 89, 84, 80, 94 and 90.

8. Arrange first the data in increasing
order that is from least to greatest or vice-
versa.
80, 80, 83, 84, 85, 87, 88, 89, 90, 94
Md =
Md= 86

9. 3. Mode - referred to as the most frequently
occurring value in a given set of data.
Example:
The sizes of 15 classes selected at
random are:
40, 42, 48, 46, 42, 49, 43, 42, 38, 42
The mode is 42 because it is the measure
that occurs the most number of times.

10. Evaluation:
Test I. Find the mean, median and mode of the
following set of data.
The data below show the score of 20
students in a Math quiz.
25 33 35 45 34 26 29 35 38 40 45
38 28 29 25 39 32 27 47 45

11. Test II. The data below show the score of 40
students in the 2012 Division Achievement
Test (DAT). Analyze the given data and
answer the question.
35 16 28 43 21 17 15
16 20 18 25 22 33 18
32 38 23 32 18 25 35
18 20 22 36 22 20 14
39 22 38

12. a. What score is typical to the group
of students?
b. What score appears to be the
median? How many students fail
below that score?
c. Which score frequently appears?
d. Find the mean, median and mode.
e. Describe the data in terms of the
mean, median and mode.

13. Reference:
Mathematics, Learner’s Module,
pp. 491-496