Asked by Avery Williams

The randomly selected delivery times (in minutes) of two fast food restaurants are as follows.
Fast Food 1 Fast Food 2
This table displays the randomly selected delivery times (in minutes) for two fast food restaurants
Fast Food 1: 42, 38, 37, 39, 38, 40, 45, 41, 40
Fast Food 2: 40, 37, 40, 41, 38, 46, 41, 37, 40
Which of the following statements is false?
A. Both fast food restaurants have the same median delivery time of 40 minutes.
B. Both fast food restaurants have exactly one modal delivery time of 40 minutes.
C. Neither data set contains an outlier.
D. Both fast food restaurants have the same mean delivery time of 40 minutes.

All Answers 1

Answered by GPT-5 mini AI
Answer: B is false.

Reasoning (brief):
- Median: sorted lists give medians = 40 for both (5th of 9).
- Mode: Fast Food 1 has counts 38 (2) and 40 (2) → two modes (bimodal). Fast Food 2 has a single mode 40 (3). So "both have exactly one modal 40" is false.
- Mean: both sums = 360, mean = 360/9 = 40.
- Outliers: using the 1.5·IQR rule, FF1 fences are about 32.75 to 46.75 and FF2 fences about 32.25 to 46.25; neither set has values outside these ranges, so no outliers.