Question

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

Answer 1

the standard deviation shows the dispersion (how close) of the data. Therefore the correct statement is A:
- Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

Answer 2

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

Explanation:

• We know that a standard deviation is a measure that is used to find the amount of dispersion or variation of the data set.

• If standard deviation is low this means that the data points tends close to the mean of the data set.

• while a higher standard deviation means that the data values are spread to a greater range.

Hence, form the given information we may imply that:

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

( Since, the standard deviation of Raquel's data is low which is 0.07 as compared to Van's data ( which is 0.23).

Hence, the Raquel's data will tend close to the mean which is $ 3.42. )