A sociologist recently conducted a survey of senior citizens who have net worths too high to qualify for Medicaid but have no private health insurance. The ages of the 25 uninsured senior citizens were as follows:
$$\begin{array} { l l l l l }
72 & 77 & 70 & 80 & 90 \
78 & 65 & 93 & 69 & 94 \
73 & 96 & 80 & 66 & 85 \
67 & 72 & 85 & 74 & 77 \
64 & 91 & 79 & 68 & 86
\end{array}$$ Find the median of the observations.
A) 74
B) 77.5
C) 77
D) 78

Question

A sociologist recently conducted a survey of senior citizens who have net worths too high to qualify for Medicaid but have no private health insurance. The ages of the 25 uninsured senior citizens were as follows:
 $$\begin{array} { l l l l l } 
72 & 77 & 70 & 80 & 90 \
78 & 65 & 93 & 69 & 94 \
73 & 96 & 80 & 66 & 85 \
67 & 72 & 85 & 74 & 77 \
64 & 91 & 79 & 68 & 86
\end{array}$$ Find the median of the observations.
A) 74
B) 77.5
C) 77
D) 78

Quizplus · Accepted Answer

The median is the middle value of a data set when it is ordered from least to greatest. Here, the ordered ages are: 64, 65, 66, 67, 68, 69, 70, 72, 72, 73, 74, 77, 77, 78, 79, 80, 80, 85, 85, 86, 90, 91, 93, 94, 96. The middle value (13th value) is 77.

A Sociologist Recently Conducted a Survey of Senior Citizens Who