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Question: The lower quartile of a data set is the 8th data value. How many data values are there in the data set?


A ) 31
B ) 32
C ) 30
D ) 34

Steps to derive

1 Lower quartile is the median data value of the lower half of the data set.

2 So, there are 7 data values before and after the lower quartile.

3 So, the number of data values in the lower half = 7 + 7 + 1

4 The number of values in the data set = lower half + upper half + 1

 [Number of values in lower and upper halves are equal.]
5 = 15 + 15 + 1 = 31

6 So, the data set contains 31 data values.



Hence the right answer is Option A

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