Consider the following data,which represent the number of miles that employees commute from home to work each day.There are two samples: one for males and one for females. Males: Females: Which of the following statements is true?
A)The female distribution is more variable since the range for the females is greater than for the males.
B)Females in the sample commute farther on average than do males.
C)The males in the sample commute farther on average than the females.
D)Males and females on average commute the same distance.

Question

Consider the following data,which represent the number of miles that employees commute from home to work each day.There are two samples: one for males and one for females. Males:  Females:  Which of the following statements is true?
A)The female distribution is more variable since the range for the females is greater than for the males. 
B)Females in the sample commute farther on average than do males. 
C)The males in the sample commute farther on average than the females. 
D)Males and females on average commute the same distance.

Quizplus · Accepted Answer

The male sample has a mean of approximately 8.2 miles, while the female sample has a mean of approximately 6.7 miles. Therefore, the males in the sample commute farther on average than the females. The range is not a good measure of variability because it only considers the maximum and minimum values and does not account for the rest of the data. Therefore, we cannot determine which distribution is more variable based on the range alone. We cannot determine if males and females on average commute the same distance because their means are different.

Consider the Following Data,which Represent the Number of Miles That