alleryStart learning →A sample contains the value 1 twice, the value 2 three times, and the value 4 five times. What is the sample mean?
A2.33
B2.80
C3.10
D2.50
Answer & Solution
Correct answer: B. 2.80
1. Multiply each distinct value by its frequency: 2 x 1 = 2, 3 x 2 = 6, 5 x 4 = 20.
2. Add the products: 2 + 6 + 20 = 28, over a total of 2 + 3 + 5 = 10 values.
3. Divide: 28/10 = 2.8, so the sample mean is 2.80.
4. Option A, 2.33, averages the three distinct values 1, 2, and 4 while ignoring their frequencies.
_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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