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Sixty-five car salespersons report weekly sales: 14 sell three cars, 19 sell four, 12 sell five, nine sell six and 11 sell seven. What is the median?
AThe median is three cars
BThe median is five cars
CThe median is four cars
DThe median is six cars
Answer & Solution
Correct answer: C. The median is four cars
1. The median sits at position (65 + 1) divided by 2, which is the 33rd value.
2. Running totals give 14 sellers at three cars and 33 sellers by the time four cars is reached.
3. The 33rd value therefore falls inside the group selling four cars, so the median is four cars.
4. Reading five cars would put the median at the middle of the listed categories rather than at the middle of the salespeople.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.2 Measures of the Location of the Data_
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