PPT: Statistics | CSAT Preparation - UPSC PDF Download

 Page 1


Measure Of Central 
Tendency
Page 2


Measure Of Central 
Tendency
Introduction:
• In statistics, a central tendency is a central value or a 
typical value for a probability distribution.                
• It is occasionally called an average or just the center 
of the distribution. 
• The most common measures of central tendency are 
the arithmetic mean, the median and the mode.
• Measures of central tendency are defined for a 
population(large set of objects of a similar nature) and 
for a sample (portion of the elements of a population). 
Page 3


Measure Of Central 
Tendency
Introduction:
• In statistics, a central tendency is a central value or a 
typical value for a probability distribution.                
• It is occasionally called an average or just the center 
of the distribution. 
• The most common measures of central tendency are 
the arithmetic mean, the median and the mode.
• Measures of central tendency are defined for a 
population(large set of objects of a similar nature) and 
for a sample (portion of the elements of a population). 
Some Definitions
Simpson and Kafka defined  it as “ A measure of central 
tendency is a typical value around which other figures 
gather”
Waugh has expressed “An average stand for the whole 
group of which it forms a part yet represents the whole”.
In layman’s term, a measure of central tendency is an 
A VERAGE.  It is a single number of value which can be 
considered typical in a set of data as a whole. 
Page 4


Measure Of Central 
Tendency
Introduction:
• In statistics, a central tendency is a central value or a 
typical value for a probability distribution.                
• It is occasionally called an average or just the center 
of the distribution. 
• The most common measures of central tendency are 
the arithmetic mean, the median and the mode.
• Measures of central tendency are defined for a 
population(large set of objects of a similar nature) and 
for a sample (portion of the elements of a population). 
Some Definitions
Simpson and Kafka defined  it as “ A measure of central 
tendency is a typical value around which other figures 
gather”
Waugh has expressed “An average stand for the whole 
group of which it forms a part yet represents the whole”.
In layman’s term, a measure of central tendency is an 
A VERAGE.  It is a single number of value which can be 
considered typical in a set of data as a whole. 
Importance Of Central Tendency
• To find representative value
• To make more concise data
• To make comparisons
• Helpful in further statistical analysis
Page 5


Measure Of Central 
Tendency
Introduction:
• In statistics, a central tendency is a central value or a 
typical value for a probability distribution.                
• It is occasionally called an average or just the center 
of the distribution. 
• The most common measures of central tendency are 
the arithmetic mean, the median and the mode.
• Measures of central tendency are defined for a 
population(large set of objects of a similar nature) and 
for a sample (portion of the elements of a population). 
Some Definitions
Simpson and Kafka defined  it as “ A measure of central 
tendency is a typical value around which other figures 
gather”
Waugh has expressed “An average stand for the whole 
group of which it forms a part yet represents the whole”.
In layman’s term, a measure of central tendency is an 
A VERAGE.  It is a single number of value which can be 
considered typical in a set of data as a whole. 
Importance Of Central Tendency
• To find representative value
• To make more concise data
• To make comparisons
• Helpful in further statistical analysis
Mean
• The MEAN of a set of values or measurements is the 
sum of all the measurements divided by the number 
of measurements in the set.
• The mean is the most popular and widely used.  It is 
sometimes called the arithmetic mean.