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Question: The position of the greatest value in a set of data is 11. What are the positions of the lower quartile, the middle quartile and the upper quartile?


A ) 1, 3, 6
B ) 3, 6, 9
C ) 3, middle of 5th and 6th positions, 10
D ) Cannot be determined

Steps to derive

1 The total number of data items in the data set = 11.

2 The position of the median of the data = 6.

3 The position of middle quartile = the position of the median of the entire data = 6

4 The position of the lower quartile = the position of the median of lower half of the data = the middle position from 1st position to 5th position = 3.

5 The position of the upper quartile = the position of the median of upper half of the data = the middle position from 7th position to last position = 9.

6 The positions of the lower quartile, the middle quartile and the upper quartile are 3, 6 and 9.



Hence the right answer is Option B

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