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)
Responses
9 miles
9 miles
21 miles
21 miles
18 miles
18 miles
35.8 miles
The range of a data set is determined by subtracting the smallest value from the largest value. In this case, the smallest value is 28 miles and the largest value is 49 miles.
Therefore, the range of this data set is 49 - 28 = 21 miles.
The correct answer is: 21 miles.
Which of the following data sets has the smallest range?(1 point)
Responses
{148, 145, 117, 148, 199, 172}
left brace 148, 145, 117, 148, 199, 172 right brace
{37, 19, 40, 54, 75, 68}
left brace 37, 19, 40, 54, 75, 68 right brace
{324, 318, 367, 312, 389, 337}
left brace 324, 318, 367, 312, 389, 337 right brace
{50, 30, 10, 0, 80, 100}
To determine the smallest range, we need to calculate the range for each data set.
1. {148, 145, 117, 148, 199, 172}
The smallest value is 117 and the largest value is 199.
Range = 199 - 117 = 82
2. {37, 19, 40, 54, 75, 68}
The smallest value is 19 and the largest value is 75.
Range = 75 - 19 = 56
3. {324, 318, 367, 312, 389, 337}
The smallest value is 312 and the largest value is 389.
Range = 389 - 312 = 77
4. {50, 30, 10, 0, 80, 100}
The smallest value is 0 and the largest value is 100.
Range = 100 - 0 = 100
Therefore, the data set with the smallest range is {37, 19, 40, 54, 75, 68}.
The correct answer is:
{37, 19, 40, 54, 75, 68}
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)
Responses
31.5%
31.5%
30.5%
30.5%
62%
62%
31%
To determine the percentage of people who prefer cashew nuts, we need to find the total number of people who prefer cashew nuts in both samples and divide it by the total number of people in both samples.
In Sample 1, the number of people who prefer cashew nuts is 63.
In Sample 2, the number of people who prefer cashew nuts is 61.
The total number of people who prefer cashew nuts in both samples is 63 + 61 = 124.
The total number of people in both samples is 200 + 200 = 400.
Now we can calculate the percentage:
(124 / 400) * 100 = 31%
Therefore, the correct answer is: 31%.
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)
Responses
Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
Car Company B is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company A.
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is lower than that of Car Company B.
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
Car Company A is more consistent, because the range of highway fuel efficiency of its cars is higher than that of Car Company B.
Cars from both companies have equally consistent highway fuel efficiency.
To determine which car company has cars that are more consistent in highway fuel efficiency, we need to compare the ranges of the two data sets. The range is determined by subtracting the smallest value from the largest value.
For Car Company A:
The smallest value is 28 and the largest value is 36.
Range = 36 - 28 = 8
For Car Company B:
The smallest value is 25 and the largest value is 40.
Range = 40 - 25 = 15
Since the range of highway fuel efficiency for Car Company B is higher than that of Car Company A, it indicates that there is more variability in the fuel efficiency of cars from Car Company B.
Therefore, the correct answer is: 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)
Responses
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 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.
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.
The delivery times of both restaurants are equally consistent.
To determine which restaurant has more consistent delivery times, we need to compare the ranges of the two data sets. The range is determined by subtracting the smallest value from the largest value.
For Restaurant 1:
The smallest value is 37 and the largest value is 46.
Range = 46 - 37 = 9
For Restaurant 2:
The smallest value is 37 and the largest value is 42.
Range = 42 - 37 = 5
Since the range of delivery times for Restaurant 2 is lower than that of Restaurant 1, it indicates that there is less variability in the delivery times of Restaurant 2.
Therefore, the correct answer is: Restaurant 2 is more consistent, because the range of its delivery times is lower than that of Restaurant 1.