Health care issues are receiving much attention in both academic and political arenas. A sociologist recentlyconducted a survey of citizens over 60 years of age whose net worth is too high to qualify for governmenthealth care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows: $$\begin{array} { l l l l l l l l l l l l l }
68 & 73 & 66 & 76 & 86 & 74 & 61 & 89 & 65 & 90 & 69 & 92 & 76 \
62 & 81 & 63 & 68 & 81 & 70 & 73 & 60 & 87 & 75 & 64 & 82 &
\end{array}$$ Find Q1 of the data.
A) 65.5
B) 81.5
C) 64.5
D) 66.5

Question

Health care issues are receiving much attention in both academic and political arenas. A sociologist recentlyconducted a survey of citizens over 60 years of age whose net worth is too high to qualify for governmenthealth care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows: $$\begin{array} { l l l l l l l l l l l l l } 
68 & 73 & 66 & 76 & 86 & 74 & 61 & 89 & 65 & 90 & 69 & 92 & 76 \
62 & 81 & 63 & 68 & 81 & 70 & 73 & 60 & 87 & 75 & 64 & 82 &
\end{array}$$ Find Q1 of the data.
A) 65.5
B) 81.5
C) 64.5
D) 66.5

Quizplus · Accepted Answer

To find the first quartile (Q1) of the data, we first need to arrange the data in ascending order and then find the value below which 25% of the data falls. The ordered data is: 60, 61, 62, 63, 64, 65, 66, 68, 68, 69, 70, 73, 73, 74, 75, 76, 76, 81, 81, 82, 86, 87, 89, 90, 92. With 25 data points, the first quartile is the value at the 25%/4th position, which is the average of the 6th and 7th values (since there's an odd number of data points, and Q1 is located at the 25% position of the ordered list, which is between the 6th and 7th values for 25 data points). The 6th value is 65, and the 7th value is 66, so Q1 = (65 + 66) / 2 = 65.5.

Health Care Issues Are Receiving Much Attention in Both Academic