Determine and Interpret Quartiles
-Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for government health care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows: $\begin{array} { l l l l l l l l l l l l l } 68 & 73 & 66 & 76 & 86 & 74 & 61 & 89 & 65 & 90 & 69 & 92 & 76 \end{array}$
$\begin{array} { l l l l l l l l l l l l l } 62 & 81 & 63 & 68 & 81 & 70 & 73 & 60 & 87 & 75 & 64 & 82 \end{array}$
Find $Q _ { 2 }$ of the data.
A) 73
B) $65.5$
C) 72
D) 74

Question

Quizplus · Accepted Answer

Q2, also known as the median, is the value that divides the data into two equal halves. To find Q2, the data must first be arranged in ascending order. Once ordered, the median is the middle value if there is an odd number of observations, or the average of the two middle values if there is an even number of observations. In this case, with 25 data points, the median is the 13th value when the data is sorted. Sorting the given ages, the 13th value is 73, making it Q2.

Determine and Interpret Quartiles -Health Care Issues Are Receiving Much 68736676867461896590699276\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 \end{array}68​73​66​76​86​74​61​89​65​90​69​92​76​

Determine and Interpret Quartiles
-Health Care Issues Are Receiving Much $\begin{array} { l l l l l l l l l l l l l } 68 & 73 & 66 & 76 & 86 & 74 & 61 & 89 & 65 & 90 & 69 & 92 & 76 \end{array}$