Question 1
Find the range for the given data.
Fred, a local mechanic, gathered the following data regarding the price, in dollars, of an oil and filter change at twelve competing service stations.
![](data:image/png;base64, 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)
◦ $10.95
◦ $8.20
◦ $14.05
◦ $12.05
Question 2
Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
15, 7, 8, 19, 14, 13, 13, 17, 8
◦ 1.6
◦ 4.5
◦ 4.0
◦ 4.2