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Requisites for Good Measures of
Central Tendency:
Presented by:
Shekh Chand.I.Darji
MA Economics 1st Sem,
Reg.no.: MAEC13-01
Central University of Karnataka- Gulbarga.
Contents:
 Introduction
 Meaning of central tendency
 Requisites for good measures of central tendency
Introduction:
Measures of central tendency is a one of the
important parameter in statistics which helps us to find
out the average/mean, median, mode, Harmonic mean
and geometric mean of the given data.
without the help of central tendency we are unable to
find out any results to the any data
Meaning of Central Tendency:


Central tendency is a statistical parameter which
helps us to finding the results of the given data.
The large number of big figures not only confusing but also
difficult to analyse. There for it’s necessary to reduce the complexity
of data to make comparison and analysis, we reduce to a single
figure or value such value is called as the measures of central
tendency

 The representative value of group of values is known as
measures of central tendency
Requisites for good measures of
Central tendency:
It should be Rigidly defined
The meaning of the average should be well defined and
precise as to be reliable and widely applicable

 It should be easy to understand
An average should be simple to understand so that it can be
calculated with reasonable ease and rapidity

 Easy to compute
An average should not only be easy to understand
but also simple to compute so that it can be used widely
Cont…………….
 Based on all the items or observations
The average should depend upon each and every item
of the series so that if any items is dropped the average itself is
altered
EXAMPLE; The arithmetic mean of 10,20,30,40,50 is
10+20+30+40+50/2 is 150/5=30. If we drop one item, say, 50, the
arithmetic mean would be 25

Not to be unduly affected by extreme

observations
Each and every item should influence the
value of the average, non of the items should influence it unduly
Cont………………..
Capable of further algebraic treatment
We should prefer to have an average that cold be used for
further statistical computations so that it’s utility is enhanced

 Sampling stability
We should prefer to get a value which has what the
statisticians call “Sampling stability”.
Sk.chand statistics ppt

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Sk.chand statistics ppt

  • 1. Requisites for Good Measures of Central Tendency: Presented by: Shekh Chand.I.Darji MA Economics 1st Sem, Reg.no.: MAEC13-01 Central University of Karnataka- Gulbarga.
  • 2. Contents:  Introduction  Meaning of central tendency  Requisites for good measures of central tendency
  • 3. Introduction: Measures of central tendency is a one of the important parameter in statistics which helps us to find out the average/mean, median, mode, Harmonic mean and geometric mean of the given data. without the help of central tendency we are unable to find out any results to the any data
  • 4. Meaning of Central Tendency:  Central tendency is a statistical parameter which helps us to finding the results of the given data. The large number of big figures not only confusing but also difficult to analyse. There for it’s necessary to reduce the complexity of data to make comparison and analysis, we reduce to a single figure or value such value is called as the measures of central tendency  The representative value of group of values is known as measures of central tendency
  • 5. Requisites for good measures of Central tendency: It should be Rigidly defined The meaning of the average should be well defined and precise as to be reliable and widely applicable  It should be easy to understand An average should be simple to understand so that it can be calculated with reasonable ease and rapidity  Easy to compute An average should not only be easy to understand but also simple to compute so that it can be used widely
  • 6. Cont…………….  Based on all the items or observations The average should depend upon each and every item of the series so that if any items is dropped the average itself is altered EXAMPLE; The arithmetic mean of 10,20,30,40,50 is 10+20+30+40+50/2 is 150/5=30. If we drop one item, say, 50, the arithmetic mean would be 25 Not to be unduly affected by extreme observations Each and every item should influence the value of the average, non of the items should influence it unduly
  • 7. Cont……………….. Capable of further algebraic treatment We should prefer to have an average that cold be used for further statistical computations so that it’s utility is enhanced  Sampling stability We should prefer to get a value which has what the statisticians call “Sampling stability”.