Question 58: Older people are a market that Cannondale is considering pursuing. A survey was conducted of 25 senior citizens that own bicycles. The ages of those senior citizens were as follows:
TABLE 2-1
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
Referring to the table above, what is the median age of the senior citizens that own bicycles
C. none of the above
D. 74.5
Answer: B. 73.
Explanation: As the name suggests, the median can be
defined as the middle number that is calculated by dividing the
total numbers by 2. In this case, in order to find out the median
age of senior citizens who own bicycles, we divide the total number
of senior citizens which are equal to 25 by 2.
(Note: also in calculating median, we need to arrange the number
from least to greatest. In the question, it is already done
however)
=
At 12.5th place, comes the age 73 and 73. Although the answer is 73
but since it is 12.5 then either 12th or 13th place can be median.
In this case we take average of both numbers (73+73/2 =146/2
=73.)
Hence the median age of senior citizens who own bicycles is
73. (Option B)
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