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Question: How many data values are there in the data set if the 8th data value is the middle quartile?


A ) 16
B ) 14
C ) 17
D ) 15

Steps to derive

1 Middle quartile divides a whole data set into two equal halves.
 [ Middle quartile is the middle value of the whole data set.]

2 As the 8th value is the middle quartile, there are 7 values before the middle quartile and 7 values after the middle quartile.

3 So, the total data values in the set = 2 x 7 + 1
 [The number of data values in the lower and the upper half are equal.]
3 = 15



Hence the right answer is Option D

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