AnswersCommon Core Math 7 - MA3107 CRVariation in Predictions and EstimatesQuestion 2
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Variation in Predictions and Estimates

Question 2 • Common Core Math 7 - MA3107 CR

Julia surveyed her friends to find the number of hours they spend on homework during the week. The data from her survey is displayed in the first table. She then took a random sample of five responses from the population as shown in the second table. Compare the mean of the population with the mean of the given sample. Population Data45313223573630150436Sample Data54621What is the difference between the mean of the sample and the mean of the population?

Answer
A
0.2
B
0.3
C
0.4
D
0.5

Explanation

Treating the population entries as individual digits, their total is 66 across 20 responses, so the population mean is 66 ÷ 20 = 3.3 hours. The five sample responses total 18, giving a sample mean of 18 ÷ 5 = 3.6 hours. The difference is 3.6 − 3.3 = 0.3 hours, so the answer is 0.3.

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