Find $Q _ { 1 } , Q _ { 2 }$, and $Q _ { 3 }$ for the following data set. $7,21,32,38$.
A) $Q _ { 1 } = 14 , Q _ { 2 } = 265$, and $Q _ { 3 } = 35$
B) $Q _ { 1 } = 10 , Q _ { 2 } = 25$, and $Q _ { 3 } = 36$
C) $Q _ { 1 } = 5 , Q _ { 2 } = 20$, and $Q _ { 3 } = 39$
D) $Q _ { 1 } = 14 , Q _ { 2 } = 25$, and $Q _ { 3 } = 25$

Question

Quizplus · Accepted Answer

The first quartile is the median of the lower half of the data set, the second quartile is the median of the entire data set, and the third quartile is the median of the upper half of the data set. The lower half of the data set is $7,21$, and the median of this set is $14$. The entire data set is $7,21,32,38$, and the median of this set is $26.5$. The upper half of the data set is $32,38$, and the median of this set is $35$. Therefore, $Q _ { 1 } = 14$, $Q _ { 2 } = 26.5$, and $Q _ { 3 } = 35$.

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Find $Q _ { 1 } , Q _ { 2 }$