The distribution of gas consumption for SUVs (in miles per gallon) is approximately normally distributed with a center of 24.8 mpg and a standard deviation of 5 mpg. A similar data set for a group of sedans is approximately normally distributed with a center of 28 mpg and a standard deviation of 4 mpg. Which one of the following statements is true when the distributions are compared on a number line?
A)The normal distribution for the sedans is shifted to the right and not as spread out.
B)The normal distribution for the SUVs is centered at the same value as for the sedans but spreads out further.
C)The normal distribution for the sedans is shifted to the right and more spread out.
D)The normal distribution of the SUVs is centered at the same value as for the sedans but does not spread out as far.

Question

Quizplus · Accepted Answer

The normal distribution for sedans has a higher center (28 mpg vs. 24.8 mpg for SUVs), indicating it is shifted to the right. Additionally, it has a smaller standard deviation (4 mpg vs. 5 mpg for SUVs), meaning it is not as spread out.

The Distribution of Gas Consumption for SUVs (In Miles Per