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The mean of 20 prices is 10.39. Five of the items have a mean of 10.99. What is the mean of the other 15 prices?
AThe mean is 10.09
BThe mean is 10.19
CThe mean is 10.59
DThe mean is 10.39
Answer & Solution
Correct answer: B. The mean is 10.19
1. The 20 prices total 20 times 10.39, which is 207.80.
2. The five sampled prices total 5 times 10.99, which is 54.95.
3. The remaining 15 prices therefore total 207.80 minus 54.95, which is 152.85.
4. Dividing 152.85 by 15 gives a mean of 10.19.
5. Answering 10.39 assumes the two groups have the same mean, which the figures rule out.
6. Answering 10.59 comes from averaging 10.39 and 10.99, which ignores the unequal group sizes.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.3 Measures of the Center of the Data_
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