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POWERPOINT PRESENTATION ON
MEASURES OF CENTRAL TENDENCY
Presented by : Preeti
INTRODUCTION
• In statistics, a central tendency is a central value
or a typical value for a probability distribution.
• The most common measures of central tendency
are the arithmetic mean, the median and the
mode..
Importance of Central Tendency
• 1. To find representative value
• 2. To make more concise data.
• 3. To make comparisons.
• 4.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.
• It is sometimes called the arithmetic mean..
Mean for ungrouped data
• If we get the mean of the sample, we call it the
sample mean.
Sample mean= Sum of all the values in the sample
Number of values in the sample
Methods of measuring Arithmetic
Mean
• 1. Direct Method
• 2 . Shortcut Method
• 3. Step deviation method
MEDIAN
• The median , is the middle value of the sample when
the data are ranked in order according to size.
• For ungrouped data median calculated as:
Median=Size of (N+1/2) th term
For grouped data median calculated as:
Median=L1+ N/2-cf/fx i
MODE
• The mode is the value which occur
most frequently in a set of
measurements or values…. In other
wordsit is the most popular value in
the given set.
• Mode=L+fn-f1/(fn-f1)+ (fn-f2)*h
ADVANTAGES & DISADVANTAGES
OF MODE
ADVANTAGES
• Mode is readily
comprehensible and easily
calculated.
• It is the best
representative of data.
• It is not at all affected by
extreme value.
• The value of mode can
also be determined
graphically.
DISADVANTAGES
• It is not based on all
observations.
• It is not capable of
further mathematical
manipulation.
• Mode is affected to a
great extent by sampling
fluctuations.
CONCLUSION
• A measure of central tendency is a measure that
tells us where the middle of a bunch of data
lies.
• Mean is the most common measure of central
tendency
• Median is the number present in the middle when the
number in a set of data are arranged in ascending or
descending order.
THANKYOU…

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Presentation on Measures of Central Tendency

  • 1. POWERPOINT PRESENTATION ON MEASURES OF CENTRAL TENDENCY Presented by : Preeti
  • 2. INTRODUCTION • In statistics, a central tendency is a central value or a typical value for a probability distribution. • The most common measures of central tendency are the arithmetic mean, the median and the mode..
  • 3. Importance of Central Tendency • 1. To find representative value • 2. To make more concise data. • 3. To make comparisons. • 4.Helpful in further statistical analysis.
  • 4. 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. • It is sometimes called the arithmetic mean..
  • 5. Mean for ungrouped data • If we get the mean of the sample, we call it the sample mean. Sample mean= Sum of all the values in the sample Number of values in the sample
  • 6. Methods of measuring Arithmetic Mean • 1. Direct Method • 2 . Shortcut Method • 3. Step deviation method
  • 7. MEDIAN • The median , is the middle value of the sample when the data are ranked in order according to size. • For ungrouped data median calculated as: Median=Size of (N+1/2) th term For grouped data median calculated as: Median=L1+ N/2-cf/fx i
  • 8. MODE • The mode is the value which occur most frequently in a set of measurements or values…. In other wordsit is the most popular value in the given set. • Mode=L+fn-f1/(fn-f1)+ (fn-f2)*h
  • 9. ADVANTAGES & DISADVANTAGES OF MODE ADVANTAGES • Mode is readily comprehensible and easily calculated. • It is the best representative of data. • It is not at all affected by extreme value. • The value of mode can also be determined graphically. DISADVANTAGES • It is not based on all observations. • It is not capable of further mathematical manipulation. • Mode is affected to a great extent by sampling fluctuations.
  • 10. CONCLUSION • A measure of central tendency is a measure that tells us where the middle of a bunch of data lies. • Mean is the most common measure of central tendency • Median is the number present in the middle when the number in a set of data are arranged in ascending or descending order.