Q. 13.6( 11 Votes )
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.
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 uniformly distributed (or equally spaced).
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PREVIOUSA school has five houses A,B,C,D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C isNEXTIn calculating the mean of grouped data, grouped in classes of equal width, we may use the formula,Where, is the assumed mean, must be one of the mid - point of the classes. Is the last statement correct? Justify your answer.
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