Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas stations around their cities on the same day. Raquel’s data show line segment x is equal to 3 point 4 2 and sigma is equal to 0 point 0 7 Van’s data show line segment x is equal to 3 point 7 8 and sigma is equal to 0 point 2 3 Which statement is true about their gas-price data?
Answer
A
Van’s data are most likely closer to 3 point 4 2 dollars than Raquel’s data are to 3 point 7 8 dollars .
B
Raquel’s data are most likely closer to 3 point 4 2 dollars than Van’s data are to 3 point 7 8 dollars .
C
Van’s data are most likely closer to 3 point 7 8 dollars than Raquel’s data are to 3 point 4 2 dollars .
D
Raquel’s data are most likely closer to 3 point 7 8 dollars than Van’s data are to 3 point 4 2 dollars .
Explanation
The standard deviation describes how spread out the gas prices are around their mean. Raquel’s standard deviation is $0.07, smaller than Van’s $0.23, so Raquel’s prices are more tightly clustered around her mean of $3.42. Thus, Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
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