METHODS OF DATA ANALYSIS
MEASURES OF CENTRAL TENDENCY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Say ‘TRUE’ or ‘FALSE’The median of an un-grouped data and the median when the same data is grouped are always the same
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TRUE
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FALSE
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Either A or B
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None of the above
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Explanation:
Detailed explanation-1: -Not always, because for calculating median of a grouped data, the formula used is based on the assumption that the observations in the classes are uniformal distributed (or equally spaced).
Detailed explanation-2: -For ungrouped data: Median = [(n+1)/2]th observation, if n is odd. Median = mean of (n/2)th observation and [(n/2)+1]th observation, if n is even.
Detailed explanation-3: -When calculating the means of grouped and ungrouped data, there will be a variation. The mean of grouped data is preferred because it is more accurate as compared to the mean of ungrouped data. The mean of ungrouped data may lead to wrong manipulation of the median therefore it is considered inefficient in most cases.
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