Question

The number of miles Ron biked are 31, 35, 49, 32, 45, 29, 33, 28, and 40. Determine the range of this data set.

a. 21 miles

b. 35.8 miles

c. 9 miles

d. 18 miles

Answer 1

[AI-generated answer — Bot GPT 3.5]

Range is calculated by subtracting the smallest value from the largest value in the data set.

The smallest value is 28 and the largest value is 49.

49 - 28 = 21

Therefore, the range of this data set is 21 miles.

So, the correct answer is a. 21 miles.

Answer 2

Which of the following data sets has the smallest range?

a. {324, 318, 367, 312, 389, 337}
b. {37, 19, 40, 54, 75, 68}
c. { 148, 145, 117, 148, 199, 172}
d. { 50, 30, 10, 0, 80, 100}

Answer 3

[AI-generated answer — Bot GPT 3.5]

To determine which data set has the smallest range, we need to calculate the range for each set by subtracting the smallest value from the largest value.

For data set a:
Largest value = 389
Smallest value = 312
Range = 389 - 312 = 77

For data set b:
Largest value = 75
Smallest value = 19
Range = 75 - 19 = 56

For data set c:
Largest value = 199
Smallest value = 117
Range = 199 - 117 = 82

For data set d:
Largest value = 100
Smallest value = 0
Range = 100 - 0 = 100

Among the options, data set b has the smallest range of 56.

Therefore, the correct answer is b. {37, 19, 40, 54, 75, 68}

Answer 4

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?

a. 30.5%

b. 31.5%

c. 31%

d. 62%

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the percentage of people who prefer cashew nuts, we need to add the number of people who prefer cashew nuts from both samples and divide it by the total number of people in the two samples.

Total people who prefer cashew nuts = 63 (from sample 1) + 61 (from sample 2) = 124

Total number of people in both samples = 200 (from sample 1) + 200 (from sample 2) = 400

Percentage of people who prefer cashew nuts = (124/400) * 100 = 31%

Therefore, the correct answer is c. 31%.