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ABDUL GHAFOOR SAJJAD 1
ABDUL GHAFOOR SAJJAD 3
*
LECTURE NO 01
Descriptive Statistics
Measures of Central tendency
(Mean, Median , Mode)
Dr Abdul Ghafoor Sajjad
HOD/Associate Professor
Department of Rehabilitation
Sciences
STMU
*Latin word
*Political state
*Numerical Facts
systematically arrange
*
*Procedures & Techniques
*Used to Collect, process
and analyze numerical
data
*To make inferences
*To reach decision
*
*
Statistics
Descriptive Inferential
*
Descriptive –
Statistics
Deal with concepts & methods
with summarization &
description of the important
facts of numerical data
*Visual presentation of the
data is not enough
*When we compare two
different data set
*Summarized in a single value
*Somewhere present in the
center
*
*Central tendency
*Measure of location and
position
*Generally known as Average
*
*
Averages
Arithmetic
means
Geometric
mean
Harmonic
mean
Median Mode
*
*
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
ARITHMETIC MEAN
S.
No
Weig
ht
(Kg)
Height(C
M)
Height
(m)
Height
(m2)
BMI Mean
BMI
1
2
3
4
5
6
7
8
*How we calculate the
mean from of multiple
groups mean
Semester No of
Students
Mean
Weight
Height (m)
1st 15 67kg
2nd 15 58kg
3rd 12 73kg
4th 08 82kg
?
Semester No of
Students
Mean
Weight
Height (m)
1st 15 67kg 1.72
2nd 15 58kg 1.62
3rd 12 73kg 1.57
4th 08 82kg 1.63
The Weighted Arithmetic Mean
The Weighted Arithmetic Mean
The Weighted Arithmetic Mean
Semester No of
Students
Mean
Weight Xw
1st 15 67kg
68.14
2nd 15 58kg
3rd 12 73kg
4th 08 82kg
280kg
*How we calculate mean
from group data
?
*When “n” in large
how we calculate the
Mean?
*How we calculate the
Mean when we deal
certain kinds of ratios or
rate of change?
S. No Distance Speed
1 30km 15km/hr
2 30km 20km/hr
3 30km 25km/hr
*The harmonic mean is a type of
numerical average. It is calculated by
dividing the number of observations
by the reciprocal of each number in
the series. Thus, the harmonic mean
is the reciprocal of the arithmetic
mean of the reciprocals.
Understanding Measures of Central Tendency
Understanding Measures of Central Tendency
Understanding Measures of Central Tendency
Understanding Measures of Central Tendency

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Understanding Measures of Central Tendency