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 reflect a mean price of $3.42 with a standard deviation of 0.07. Van's data reflect a mean price of $3.78 with a standard deviation of 0.23.

Which statement is true about their gas-price data?

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

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

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

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

Question

Brice Leonard

Mathematics

16 November, 07:33

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 reflect a mean price of $3.42 with a standard deviation of 0.07. Van's data reflect a mean price of $3.78 with a standard deviation of 0.23.

Which statement is true about their gas-price data?

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

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

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

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

+1

Answers (1)

Know the Answer?

Leon · Answer 1

The standard deviation shows the dispersion (how close) of the data. Therefore the correct statement is A:

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