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 Medicaid. The ages of 25 senior citizens were as follows: 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

Determine the median age of the senior citizens.

Question

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 Medicaid. The ages of 25 senior citizens were as follows: 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

Determine the median age of the senior citizens.

BlackTom AI · Accepted Answer

First, let's organize the data provided: the ages of 25 senior citizens are already listed in ascending order (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 an odd number of observations (25), the median is the value that sits exactly in the middle of the ordered list. To find the middle position, compute (n + 1) / 2, where n is the number of data points: (25 + 1) / 2 = 13. Therefore, the 13th value in the ordered list is the median.
Counting from the start: 1st is 60, 2nd is 61, 3rd is 62, 4th is 63, 5th is 64, 6th is 65, 7th is 66, 8th is 68, 9th is 68, 10th is 69, 11th is 70, 12th is 73, and 13th is 73. Thus, the middle value—the median—is 73.
If someone were to miscount or confuse the ordering, they might pick a value like 70 or 74, but those are positions 11 and 14, respectively, not the central 13th position. The presence of duplicate values (two 68s and two 73s, two 76s, etc.) does not affect the median calculation as long as you identify the exact middle index in the sorted list.
Hence, the median age among these 25 senior citizens is 73.

COMM 291 Practice Quiz- Module 3

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