Discussion
The median of the following set of numbers: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
Answer: A
The median is 145.0.
Arrange the ten numbers in order: 130, 137, 138, 138, 144, 146, 149, 154, 156, 160. With an even count, the median is the mean of the 5th and 6th values:
\[ \text{median} = \frac{144 + 146}{2} = 145.0 \]
145.2 is the arithmetic mean of the set (1452 divided by 10), not the median. 151.0 is the mean of 146 and 156, values taken from the unsorted list, and 146.0 is just the 6th value on its own.
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