The mean of ungrouped data and the mean calculated when the same data is grouped are always the same. Do you agree with this statement? Give reason for your answer.
(B) The statement is not true.
When we calculate the mean of grouped data,we assume that the frequency of each class is centered at the mid-point of that class.
In reality,the individual observations within a class are rarely distributed exactly at the mid-point.
Therefore,the mean calculated from grouped data is an approximation,and it is rarely the same as the mean calculated from the original ungrouped data.
When we calculate the mean of grouped data,we assume that the frequency of each class is centered at the mid-point of that class.
In reality,the individual observations within a class are rarely distributed exactly at the mid-point.
Therefore,the mean calculated from grouped data is an approximation,and it is rarely the same as the mean calculated from the original ungrouped data.
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