This document discusses different measures of central tendency - mean, median, and mode. It defines each measure and provides examples of how to calculate them. The mean is the average value found by dividing the sum of all values by the total number of values. The median is the middle value when data is arranged in order. The mode is the value that occurs most frequently. Examples are given to demonstrate calculating the mean, median, and mode of sample data sets.

1. MEASUREMENT OF CENTRAL TENDENCY
BY G. KALPANA M.SC, M.ED, M.PHIL.,
ASSISTANT PROFESSOR,
AL- AMEEN COLLEGE OF EDUCATION

3. MEAN MEDIAN MODE
TYPES OF CENTRAL TENDENCY

4.  The most popular and well known measure of central tendency
 Both discrete and continuous data,
 The mean is equal to the sum of all the values in the data set
divided by the total number of values in the data set
 The sample mean 𝑥 =
𝑥
𝑛
 we are calculating the population mean and not the sample
mean, we use the Greek lower case letter "mu", denoted as μ:
 The Population mean μ =
𝑥
𝑛
=
x1+x2+x3.........x 𝑛
𝑛
MEAN ( ARITHMETIC )

5. Find the mean for the following data set on 15,13, 18, 16, 14, 17, 12

7.  The middle value in a dataset that
is arranged in ascending order
(from the smallest value to the
largest value). If a dataset contains
an even number of values, the
median of the dataset is the mean
of the two middle values
MEDIAN

8. MEDIAN

10. MEDIAN

12. MODE

17. 1) Which of these measures are used to analyze the central tendency of data?
A) Mean and Normal Distribution
B) Mean, Median and Mode
C) Mode, Alpha & Range
D) Standard Deviation, Range and Mean
PRACTICE-1
2) Find the mean of the following data.
9, 7, 11, 13, 2, 4, 5, 5
3) Find the median of the following data.
(a) 2, 3, 4, 2, 1, 8, 3
(b) 10, 2, 5, 8, 5, 6
4) Find the mode of the following data.
(a) 12, 8, 4, 8, 1, 8, 9, 11, 9, 10, 12, 8
(b) 15, 22, 17, 19, 22, 17, 29, 24, 17, 15
(c) 0, 3, 2, 1, 3, 5, 4, 3, 42, 1, 2, 0