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MEASURE OF CENTRAL TENDENCY CANNOT GIVE COMPLETE PICTURE OF DATA FOR INTERPRETATION.WHAT KIND OF INFORMATION IS...

MEASURE OF CENTRAL TENDENCY CANNOT GIVE COMPLETE PICTURE OF DATA FOR INTERPRETATION.WHAT KIND OF INFORMATION IS NECESSARY TO MAKE SENSE OF MEASURE OF CENTRAL TENDENCY?MEAN LIFE EXPECTANCY OF A A CITIZEN OF PAKISTAN IS 58 YEARS.WHAT DOES IT MEANS..EXPLAIN USING STATISTICAL KNOWLEDGE.

Math   Statistics-And-Probability   
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Answer #1

Measure of Central Tendency calculated from data pertaining to a quantitative variable just gives the expected value of the variable. For example, the statisical statementthat the mean life expectancy of a citizen of Pakistan is 58 years is intepreted as follows:

Under ordinary circumstances, the average period that a person in Pakistan may expect to live is 58 years. This does not mean that a particular person from Pakistan will exactly live upto the age of 58 years. It simply means that if we take very large number of persons from Pakistan, on average, we can expect them to live upto 58 years under ordinary circumstances.

Thus measure of central tendency cannot give complete picture of data for interpretation since it just gives only expected value. Additional statitical measures such as dispersion, skewness, kurtosis etc. are needed to make full understanding of the data on hand.

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