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Ten letter counts are 4, 5, 6, 6, 6, 7, 7, 7, 7 and 8. What is the mean?
A6.3
B6.5
C7.0
D5.9
Answer & Solution
Correct answer: A. 6.3
1. The mean is the total of the values divided by how many there are.
2. Add them in pieces: 4 plus 5 is 9.
3. The three 6s add 18, bringing the running total to 27.
4. The four 7s add 28, bringing the total to 55.
5. The final 8 brings the total to 63.
6. There are 10 values, so divide 63 by 10 to get 6.3.
7. Answering 6.5 quotes the median of the same list, not the mean.
8. Answering 7.0 quotes the mode, the value that appears most often.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.6 Skewness and the Mean, Median, and Mode_
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