Raquel and Van live in two different cities. As a 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 mean = 3.42 and standard deviation = 0.07. Van's data show mean = 3.78 and standard deviation = 0.23.

Which statement is true about their gas-price data?

A: Raquel's data are more likely closer to $3.42 than Van's data are to $3.78.

B: Van's data are more likely closer to $3.42 than Raquel's are to $3.78.

C: Raquel's data are more likely closer to $3.78 than Van's data are to $3.42.

D: Van's data are more likely closer to $3.78 than Raquel's are to $3.42.

Question

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Mathematics

17 December, 21:05

Raquel and Van live in two different cities. As a 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 mean = 3.42 and standard deviation = 0.07. Van's data show mean = 3.78 and standard deviation = 0.23.

Which statement is true about their gas-price data?

A: Raquel's data are more likely closer to $3.42 than Van's data are to $3.78.

B: Van's data are more likely closer to $3.42 than Raquel's are to $3.78.

C: Raquel's data are more likely closer to $3.78 than Van's data are to $3.42.

D: Van's data are more likely closer to $3.78 than Raquel's are to $3.42.

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Answers (2)

Know the Answer?

Pugh · Answer 1

A: Raquel's data are more likely closer to $3.42 than Van's data are to $3.78

Step-by-step explanation:

Given that Raquel's standard deviation is less than Van's standard deviation, then Raquel's data are more likely closer to Raquel's mean than Van's data are to Van's mean.

Jasmine Mooney · Answer 2

A

Step-by-step explanation:

Raquel's data are most likely closer to $3.42 than Van's data are to $3.78.