Q1 of 96 Page 161

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).


More from this chapter

All 96 →
25

Someone is asked to take a number from 1 to 100. The probability that it is a prime, is

 26

A 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 is

 2

In 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.

 3

Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer.