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Measures of Variation Quick Check
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Question
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.
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 need to calculate the range of delivery times for each restaurant. The range is the difference between the maximum and minimum values in a dataset.

Restaurant 1 delivery times:

  • 40, 42, 37, 41, 38, 46, 41, 37, 40, 40

Maximum = 46
Minimum = 37
Range for Restaurant 1 = 46 - 37 = 9

Restaurant 2 delivery times:

  • 42, 38, 37, 39, 38, 40, 42, 41, 40

Maximum = 42
Minimum = 37
Range for Restaurant 2 = 42 - 37 = 5

Now we compare the ranges:

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

A lower range indicates more consistency in delivery times. Therefore, Restaurant 2 is more consistent because the range of its delivery times is lower than that of Restaurant 1.

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