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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 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.

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.

:)

1 answer

To determine which restaurant has more consistent delivery times, we can compare the range of delivery times for both Restaurant 1 and Restaurant 2.

Delivery Times:

  • Restaurant 1: 40, 42, 37, 41, 38, 46, 41, 37, 40, 40
  • Restaurant 2: 42, 38, 37, 39, 38, 40, 42, 41, 40

Calculating the Range:

  1. Restaurant 1

    • Minimum: 37
    • Maximum: 46
    • Range = Maximum - Minimum = 46 - 37 = 9

  2. Restaurant 2

    • Minimum: 37
    • Maximum: 42
    • Range = Maximum - Minimum = 42 - 37 = 5

Conclusion: The range of delivery times for Restaurant 1 is 9 minutes, while for Restaurant 2 it is 5 minutes. Since a smaller range indicates more consistency in delivery times, we can conclude that:

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