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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 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 lower than that of Restaurant 1.

1 answer

To determine which restaurant has more consistent delivery times, we need to calculate the range of the delivery times for both restaurants.

Delivery times for Restaurant 1: 40, 37, 40, 41, 38, 46, 41, 37, 40

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

Delivery times for Restaurant 2: 42, 38, 37, 39, 38, 40, 42, 41, 40

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

Now, comparing the ranges:

  • Restaurant 1: Range = 9
  • Restaurant 2: Range = 5

Since Restaurant 2 has a lower range (5 vs. 9), it indicates that its delivery times are more consistent.

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