The randomly selected delivery times (in minutes) of two fast food restaurants are as follows.

Question

Fast Food 1 Fast Food 2
42 40
38 37
37 40
39 41
38 38
40 46
45 41
41 37
40 40
Which of the following statements is false?
(1 point)
Both fast food restaurants have the same mean delivery time of 40 minutes.
Both fast food restaurants have the same median delivery time of 40 minutes.
Both fast food restaurants have exactly one modal delivery time of 40 minutes.
Neither data set contains an outlier.

Answer 1

The false statement is: Both fast food restaurants have exactly one modal delivery time of 40 minutes.

In the data set for fast food 1, the delivery time of 40 minutes appears three times, making it the mode of that data set. In the data set for fast food 2, the delivery time of 37 minutes appears twice and 40 minutes appears twice, making both 37 and 40 the modes of that data set.