Question

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.

Answer 1

A

Explanation:

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

Answer 2

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

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.