Which one of the values below represents the upper quartile of the data set 10, 12, 16, 7, 9, 7, 41, and 14?

A) 8
B) 15.5
C) 7
D) 24
E) 10

Question

Which one of the values below represents the upper quartile of the data set 10, 12, 16, 7, 9, 7, 41, and 14?A)  8B)  15.5C)  7D)  24E)  10

Chloe Panicker · Accepted Answer

Final Answer : B, Explanation :  The upper quartile (Q3) is the median of the upper half of the data set. First, order the data: 7, 7, 9, 10, 12, 14, 16, 41. The upper half (after the median) is 12, 14, 16, 41. The median of this upper half is the average of 14 and 16, which is 15.5.

Which one of the values below represents the upper quartile of the data set 10, 12, 16, 7, 9, 7, 41, and 14?

A) 8
B) 15.5
C) 7
D) 24
E) 10

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