Question

Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most? (1 point)

Responses

Ara: 100, 98, 99, 97, 100, 100
Ara: 100, 98, 99, 97, 100, 100

Dana: 68, 74, 83, 80, 81, 82
Dana: 68, 74, 83, 80, 81, 82

Theo: 84, 88, 81, 85, 77, 76
Theo: 84, 88, 81, 85, 77, 76

Jose: 91, 93, 97, 96, 96, 96

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since all of them received 100 percent on their latest math test, their mean test scores will increase. However, the person whose mean test score will increase the most is Dana. This is because his previous scores are lower compared to the other three students, so receiving a score of 100 percent will have a larger impact on increasing his mean score.

Answer 2

Statistics Unit Test

8 of 158 of 15 Items

Question
The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.

Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)

Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1Key: 7|4=74 miles per hour

Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)

Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.

(1 point)
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
mph.
Skip to navigation

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the range of the speeds of the fastest steel roller coasters on both continents, we need to first determine the minimum and maximum speeds on each continent.

For Europe:
- Minimum speed: 74 mph
- Maximum speed: 91 mph

Range for Europe: 91 mph - 74 mph = 17 mph

For North America:
- Minimum speed: 85 mph
- Maximum speed: 128 mph

Range for North America: 128 mph - 85 mph = 43 mph

Therefore, the range of the speeds of the fastest steel roller coasters in Europe is 17 mph and the range of the speeds of the fastest steel roller coasters in North America is 43 mph.

Answer 4

Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.

Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87

Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.

(2 points)
The mean daily high temperature of Sample 1 is
°.
The mean daily high temperature of Sample 2 is
°.
The mean daily high temperatures of the two samples differ by
°.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the mean daily high temperatures of each sample, you need to add up all the temperatures in each sample and then divide by the number of temperatures.

For Sample 1:
Mean = (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10
Mean = 871 / 10
Mean = 87.1°F

For Sample 2:
Mean = (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10
Mean = 848 / 10
Mean = 84.8°F

The mean daily high temperature of Sample 1 is 87.1°F and the mean daily high temperature of Sample 2 is 84.8°F.

To calculate the difference in mean daily high temperatures:
Difference = 87.1 - 84.8
Difference = 2.3°F

Therefore, the mean daily high temperatures of the two samples differ by 2.3°F.

Answer 6

The data from two random samples of 100 students regarding what pet they own is given below.

Dog Cat Bird Total
Sample 1 54 38 8 100
Sample 2 39 49 12 100
Based on the two samples, what percentage of students own a bird as a pet?

(1 point)
%

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find out the percentage of students who own a bird as a pet based on the two samples, we need to first calculate the total number of students who own a bird from both samples.

For Sample 1: 8 students own a bird
For Sample 2: 12 students own a bird

Total number of students who own a bird = 8 + 12 = 20

Total number of students in the two samples = 100 + 100 = 200

Now, to find the percentage of students who own a bird:
Percentage = (Number of students who own a bird / Total number of students) * 100
Percentage = (20 / 200) * 100
Percentage = 10%

Therefore, based on the two samples, 10% of students own a bird as a pet.