This document discusses measures of central tendency and how to calculate the median. It defines the median as the middle value in a data set arranged in order. For an odd number of values, the median is the middle value. For an even number, the median is the average of the two middle values. It provides examples of calculating the median for both ungrouped and grouped data sets.

1. MEASURES OF CENTRAL TENDENCY
MEDIANHAIKAL IRFAN FITRI AFZAN OWEN
3K2

2. WHAT IS MEDIAN?
Median is the middle observation of a set of data
after being arranged in order.

3. MEDIAN: ODD UNGROUPED DATA
2
1

N
median
• For odd number of data, the middle observation when the data is arranged in
order is the median.

4. MEDIAN: EVEN UNGROUPED DATA
• For even number of data, the average of the two middle observations when the
data is arranged in order is the median.
2
1
22


NN
median

5. EXAMPLE QUESTIONS
1. Determine the median for each of the following set of data.
a) 10, 5, 12, 7, 14, 9, 17
b) 18, 19, 15, 12, 20, 13
2. Determine the median for each of the following sets of data.
a) 21, 25, 34, 26, 21, 39, 23
b) 19, 17, 20, 16, 19, 15, 16, 19

6. MEDIAN: GROUPED DATA
C
f
FN
Lmedian
m













 2
1
L = Lower boundary of median class
N =Total frequency
C = Size of class interval
f = Frequency of median class
F = Cumulative frequency before median class
mf
m

7. EXAMPLE QUESTIONS
• The following table shows the frequency distributions of the heights of a group
of students in a certain class.
Heights (cm) Frequency
141 - 145 3
146 - 150 6
151 - 155 9
156 - 160 14
161 - 165 10
166 - 170 5
171 - 175 3
Estimate the median height of the
students.
Estimate the number of students that
are more than 158cm in height