In city A, the mean commute to work is 17 miles with a range of 12 miles to 19 miles. In city B, the mean commute to work is 22 miles with a range of 19 miles to 24 miles. Which statement BEST compares the two commutes?
Responses
A City A has the longest commute to work.
B On average, city A has the longer commute to work.
C The commute for city A varies more than city B.
D The commute for city B varies more than city A.
B. On average, city A has the longer commute to work.
To compare the two commutes, we can look at the mean (average) commute and the range.
In city A, the mean commute is 17 miles, and the range is from 12 miles to 19 miles.
In city B, the mean commute is 22 miles, and the range is from 19 miles to 24 miles.
Comparing the means, we see that city B has a larger mean commute (22 miles) compared to city A (17 miles).
Comparing the ranges, city B has a smaller range (5 miles) compared to city A (7 miles).
Based on this information, the BEST statement that compares the two commutes is:
B) On average, city A has the longer commute to work.
To compare the two commutes, we can look at the mean (average) and the range of each city's commute.
Let's start by comparing the mean commute. In city A, the mean commute is 17 miles, and in city B, it is 22 miles. Comparing the means, we can see that city B has a higher mean commute than city A.
Next, let's compare the ranges. In city A, the range of the commute is from 12 miles to 19 miles, while in city B, it is from 19 miles to 24 miles. Comparing the ranges, we can see that the range for city B is larger than the range for city A.
Now, based on these comparisons, we can assess the statements:
A. City A has the longest commute to work. This statement is incorrect because city B has a higher mean commute.
B. On average, city A has the longer commute to work. This statement is incorrect because city B has a higher mean commute.
C. The commute for city A varies more than city B. This statement is incorrect because city B has a larger range, indicating more variation in commute distances.
D. The commute for city B varies more than city A. This statement is correct because city B has a larger range, indicating more variation in commute distances.
Therefore, the best statement that compares the two commutes is option D: The commute for city B varies more than city A.