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The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?

This table presents the randomly selected delivery times (in minutes) for two restaurants, allowing for comparison of their performance.
Restaurant 1 Restaurant 2
40 42
37 38
40 37
41 39
38 38
46 40
41 42
37 41
40 40
(1 point)
Responses

Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.
Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.

Restaurant 2 is more consistent, because the range of its delivery times is higher than that of Restaurant 1.
Restaurant 2 is more consistent, because the range of its delivery times is higher than that of Restaurant 1.

Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.
Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.

The delivery times of both restaurants are equally consistent.
The delivery times of both restaurants are equally consistent.
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1 answer

To determine which restaurant has more consistent delivery times, we can compare the ranges of delivery times for both restaurants. The range is calculated as the difference between the highest and lowest values in the data set.

Restaurant 1 Delivery Times:

  • Delivery Times: 40, 42, 37, 41, 38, 46, 41, 37, 40, 40
  • Highest: 46 minutes
  • Lowest: 37 minutes
  • Range: 46 - 37 = 9 minutes

Restaurant 2 Delivery Times:

  • Delivery Times: 38, 39, 40, 42, 41, 40, 38, 38, 40
  • Highest: 42 minutes
  • Lowest: 38 minutes
  • Range: 42 - 38 = 4 minutes

Now, comparing the ranges of both restaurants:

  • Range for Restaurant 1: 9 minutes
  • Range for Restaurant 2: 4 minutes

The lower the range, the more consistent the delivery times are. Therefore, since Restaurant 2 has a smaller range of delivery times (4 minutes) compared to Restaurant 1 (9 minutes), Restaurant 2 is more consistent.

Conclusion: Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.