The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?
1 2
40 42
37 38
40 37
41 39
38 38
46 40
41 42
37 41
40 40(1 point)
Responses
Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.
The delivery times of both restaurants are equally consistent.
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 lower than that of Restaurant 1.
Ten randomly selected people were asked to join a fitness group. Over the next two weeks, they were tested on how many push-ups they could do. The data shows the number of push-ups they did over the two weeks. From the first to the second week, what was the increase in the median number of push-ups?
Week 1: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8
Week 2: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10
To find the increase in the median number of push-ups, we first need to find the median number of push-ups for each week:
Week 1 median: 8
Week 2 median: 10
The increase in the median number of push-ups is the difference between these two values:
10 - 8 = 2
So the increase in the median number of push-ups is 2.
Ten randomly selected people were asked to join a fitness group. Over the next two weeks, they were tested on how many push-ups they could do. The data shows the number of push-ups they did over the two weeks. What is the range of the number of push-ups people did each week?
Week 1: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8
Week 2: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10
(1 point)
The range of the number of push-ups people did in Week 1 is ( ).
The range of the number of push-ups people did in Week 2 is ( ).
The range of a set of data is the difference between the largest and smallest values in the set. Using that definition, we can find the range of the number of push-ups people did each week:
Week 1: The largest value is 15 and the smallest value is 5, so the range is 15 - 5 = 10.
Week 2: The largest value is 18 and the smallest value is 7, so the range is 18 - 7 = 11.
Therefore, the range of the number of push-ups people did in Week 1 is 10 and the range of the number of push-ups people did in Week 2 is 11.
To determine the restaurant with more consistent delivery times, we need to compare the ranges of delivery times for both restaurants. The range is calculated as the difference between the highest and lowest delivery times in a set.
For Restaurant 1, the lowest delivery time is 2 minutes and the highest delivery time is 46 minutes. Therefore, the range for Restaurant 1 is 46 - 2 = 44 minutes.
For Restaurant 2, the lowest delivery time is 37 minutes and the highest delivery time is 42 minutes. Hence, the range for Restaurant 2 is 42 - 37 = 5 minutes.
Comparing the ranges, we can see that the range for Restaurant 2 (5 minutes) is lower than the range for Restaurant 1 (44 minutes). Therefore, we can conclude that Restaurant 2 is more consistent, because its range of delivery times is lower than that of Restaurant 1.
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 highest and lowest delivery times. To calculate the range for each restaurant, we can follow these steps:
1. For Restaurant 1, find the highest and lowest delivery times from the given data. The highest delivery time is 46 minutes (found in the last row), and the lowest delivery time is 37 minutes (found in the third row). So the range for Restaurant 1 is 46 - 37 = 9 minutes.
2. For Restaurant 2, find the highest and lowest delivery times from the given data. The highest delivery time is 42 minutes (found in the eighth row), and the lowest delivery time is 37 minutes (found in the third row). So the range for Restaurant 2 is 42 - 37 = 5 minutes.
Comparing the ranges, we can see that the range for Restaurant 2 (5 minutes) is lower than the range for Restaurant 1 (9 minutes). Therefore, the correct answer is: Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.