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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

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.
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 calculate the range of delivery times for each restaurant. The range is the difference between the maximum and minimum delivery times.

For Restaurant 1, the delivery times are: 40, 42, 37, 41, 38, 46, 41, 37, 40, giving us:

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

For Restaurant 2, the delivery times are: 42, 38, 37, 39, 38, 40, 42, 41, 40, giving us:

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

Now, we can compare the ranges:

  • Restaurant 1 has a range of 9 minutes.
  • Restaurant 2 has a range of 5 minutes.

Since Restaurant 2 has a lower range, it indicates that its delivery times are more consistent.

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