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Fourteen values in order are 1, 1, 2, 2, 4, 6, 6.8, 7.2, 8, 8.3, 9, 10, 10 and 11.5. What is the median?
AExactly 6.8
BExactly 7.2
CExactly 7
DExactly 6
Answer & Solution
Correct answer: C. Exactly 7
1. There are 14 values, which is an even count, so no single value sits in the middle.
2. For an even count the median is the average of the two middle values.
3. Half of 14 is 7, so the two middle values are the seventh and the eighth.
4. Counting along, the seventh value is 6.8 and the eighth is 7.2.
5. Add them to get 14.0, then divide by two.
6. The median is 7.
7. Answering 6.8 or 7.2 stops at one of the two middle values instead of averaging them.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.5 Measures of the Center of the Data_
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