raquel and van live in two different cities. as part of a project, they each record the lowest prices for a…

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. raquels data show $\bar{x}=3.42$ and $sigma = 0.07$. vans data show $\bar{x}=3.78$ and $sigma = 0.23$. which statement is true about their gas - price data? o raquels data are most likely closer to $3.42 than vans data are to $3.78. o vans data are most likely closer to $3.42 than raquels data are to $3.78. o raquels data are most likely closer to $3.78 than vans data are to $3.42. o vans data are most likely closer to $3.78 than raquels data are to $3.42.

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. raquels data show $\bar{x}=3.42$ and $sigma = 0.07$. vans data show $\bar{x}=3.78$ and $sigma = 0.23$. which statement is true about their gas - price data? o raquels data are most likely closer to $3.42 than vans data are to $3.78. o vans data are most likely closer to $3.42 than raquels data are to $3.78. o raquels data are most likely closer to $3.78 than vans data are to $3.42. o vans data are most likely closer to $3.78 than raquels data are to $3.42.

Answer

Explanation:

Step1: Understand the concept of mean and standard - deviation

The mean ($\bar{x}$) is the average value of the data set, and the standard - deviation ($\sigma$) measures the amount of variation or dispersion of a set of values. A smaller standard - deviation indicates that the data points are closer to the mean. For Raquel, $\bar{x}_R = 3.42$ and $\sigma_R=0.07$. For Van, $\bar{x}_V = 3.78$ and $\sigma_V = 0.23$.

Step2: Compare the standard - deviations

Since $\sigma_R=0.07$ and $\sigma_V = 0.23$, and $0.07<0.23$, Raquel's data has a smaller standard - deviation. This means that Raquel's data points are more likely to be closer to her mean value of $$3.42$ than Van's data points are to his mean value of $$3.78$.

Answer:

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