The numbers of miles Ron biked are 31, 35, 49, 32, 45, 29, 33, 28, and 40.
Determine the range of this data set.
35.8 miles
18 miles
21 miles
9 miles
21 miles
Which of the following data sets has the smallest range?(1 point)
Responses
{37, 19, 40, 54, 75, 68}
left brace 37, 19, 40, 54, 75, 68 right brace
{148, 145, 117, 148, 199, 172}
left brace 148, 145, 117, 148, 199, 172 right brace
{324, 318, 367, 312, 389, 337}
left brace 324, 318, 367, 312, 389, 337 right brace
{50, 30, 10, 0, 80, 100}
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)
31.5% of the people prefer cashew nuts.
In Sample 1, the percentage of people who prefer cashew nuts is 63/200 = 31.5%.
In Sample 2, the percentage of people who prefer cashew nuts is 61/200 = 30.5%.
By combining the two samples, the total number of people who prefer cashew nuts is 63 + 61 = 124. And the total number of people in the two samples is 200 + 200 = 400.
So the percentage of people who prefer cashew nuts in the two samples combined is 124/400 = 31.5%.
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)
Car Company A has cars that are more consistent in highway fuel efficiency.
To determine this, we can find the range and standard deviation for each data set:
For Car Company A:
Range = 36 - 28 = 8
Standard deviation = 2.78
For Car Company B:
Range = 40 - 25 = 15
Standard deviation = 4.78
Since Car Company A has a smaller range and a smaller standard deviation, it can be concluded that its cars are more consistent in highway fuel efficiency.
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
37
40
41
38
46
41
37
40
Restaurant 2
42
38
37
39
38
40
42
41
40
Restaurant 1 has more consistent delivery times.
To determine this, we can find the range and standard deviation for each data set:
For Restaurant 1:
Range = 46 - 37 = 9
Standard deviation = 2.54
For Restaurant 2:
Range = 42 - 37 = 5
Standard deviation = 1.96
Since Restaurant 1 has a smaller range and a smaller standard deviation, it can be concluded that it has more consistent delivery times.
To find the range of a data set, you need to subtract the smallest value from the largest value. In this case, the smallest value is 28 miles and the largest value is 49 miles.
Range = Largest value - Smallest value
Range = 49 miles - 28 miles
Range = 21 miles
Therefore, the range of this data set is 21 miles.