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

Mathematics

Mulligan

3 October, 18:53

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.

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Answers (1)

Know the Answer?

Will Curtis · 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.