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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 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.

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

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.

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

1 answer

To determine which restaurant has more consistent delivery times, we can calculate the range for each restaurant's delivery times.

For Restaurant 1: Delivery times: 40, 42, 37, 41, 38, 46, 41, 37, 40

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

For Restaurant 2: Delivery times: 38, 39, 40, 42, 38, 40, 41, 40

  • Minimum: 38
  • Maximum: 42
  • Range = Maximum - Minimum = 42 - 38 = 4

Now we compare the ranges:

  • Restaurant 1 has a range of 9.
  • Restaurant 2 has a range of 4.

Since a lower range indicates more consistency in the delivery times, we can conclude that Restaurant 2 is more consistent because the range of its delivery times (4) is lower than that of Restaurant 1 (9).

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