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Question 11 Mark
The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.
Answer
The median of an ungrouped data and the median calculated when the same data is grouped are not always the same because the median for ungrouped data is calculated by arranging the data in increasing or decreasing order. But for calculating the median of a grouped data, the formula used is based on the assumption that the observations are uniformly distributed in the classes.
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Question 21 Mark
Will the median class and modal class of grouped data always be different? Justify your answer.
Answer
The median and modal class may be same if modal class is median class which is not always possible as the number of frequencies may be maximum in any class.
So given statement is not true.
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