The numbers of miles Ron biked are 31, 35, 49, 32, 45, 29, 33, 28, and 40.
Determine the range of this data set.(1 point)
1. 21 miles
2. {37, 19, 40, 54, 75, 68}
3. 31%
4. Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower.
5. Restaurant 2 is more consistent, because the range of its delivery times is lower.
100% correct
The range of this data set is 20.
To find the range, you subtract the smallest value from the largest value:
Largest value = 49
Smallest value = 28
49 - 28 = 21
Therefore, the range is 21.
Which of the following data sets has the smallest range?(1 point)
A. {324, 318, 367, 312, 389, 337}
B. {148, 145, 117, 148, 199, 172}
C. {37, 19, 40, 54, 75, 68}
D. {50, 30, 10, 0, 80, 100}
Option C {37, 19, 40, 54, 75, 68} has the smallest range.
To find the range, we subtract the smallest value from the largest value.
A. Range = 389 - 312 = 77
B. Range = 199 - 117 = 82
C. Range = 75 - 19 = 56
D. Range = 100 - 0 = 100
Out of these options, Option C has the smallest range.
The data from two random samples of 200 people regarding their favorite nuts is shown in the following table.
Almond Pistachio Cashew Walnuts Total
Sample 1 40 62 63 35 200
Sample 2 43 64 61 32 200
Based on the two samples, what percentage of the people prefer cashew nuts?
(1 point)
To find the percentage of people who prefer cashew nuts, we need to add up the number of people in each sample who chose cashews and divide by the total number of people in both samples, then multiply by 100 to get a percentage.
Number of people in Sample 1 who prefer cashews = 63
Number of people in Sample 2 who prefer cashews = 61
Total number of people who prefer cashews in both samples = 63 + 61 = 124
Total number of people in both samples = 200 + 200 = 400
Percentage of people who prefer cashews = (124/400) x 100% = 31%
Therefore, 31% of people prefer cashew nuts based on the two samples.
The following data sets represent the highway fuel efficiency in miles per gallon (mpg) of randomly selected cars from two car companies. Which company has cars that are more consistent in highway fuel efficiency?
Car Company A: 35, 28, 35, 30, 31, 36, 35, 30
Car Company B: 29, 33, 40, 27, 34, 34, 34, 25
(1 point)
A. Cars from both companies have equally consistent highway fuel efficiency.
B. Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
C. Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
D. Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
To determine which company has cars that are more consistent in highway fuel efficiency, we need to compare the range of highway fuel efficiency of the cars in each company.
Range gives the measure of how spread out the data is. The smaller the range, the more consistent the data is.
Range of car mileage for Company A: 36 - 28 = 8
Range of car mileage for Company B: 40 - 25 = 15
Since the range of highway fuel efficiency for cars in Company A is lower than that of Company B, we can conclude that the cars in Company A are more consistent in highway fuel efficiency.
Therefore, the correct answer is option C. Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?
Restaurant 1 Restaurant 2
40 42
37 38
40 37
41 39
38 38
46 40
41 42
37 41
40 40
(1 point)
A. Restaurant 2 is more consistent, because the range of its delivery times is higher than that of Restaurant 1.
B. Restaurant 1 is more consistent, because the range of its delivery times is lower than that of Restaurant 2.
C. Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.
D. The delivery times of both restaurants are equally consistent.
To determine which restaurant has more consistent delivery times, we need to compare the range of delivery times of the two restaurants.
Range gives the measure of how spread out the data is. The smaller the range, the more consistent the data is.
Range of delivery times for Restaurant 1: 46 - 37 = 9
Range of delivery times for Restaurant 2: 42 - 37 = 5
Since the range of delivery times for Restaurant 2 is lower than that of Restaurant 1, we can conclude that Restaurant 2 has more consistent delivery times.
Therefore, the correct answer is option C. Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.