Question

se the image to answer the question.

An illustration shows a bar graph titled Math Club Membership. The x-axis lists the years from 2015 through 2021. The y-axis shows Number of Members and ranges from 0 to 40 in 10-unit increments. The graph shows the following membership totals: 2015, 22; 2016, 25; 2017, 36; 2018, 30; 2019, 32; 2020, 28; 2021, 30.

The graph shows the number of members of the Math Club from the years 2015 to 2021. Find the range.

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The range of the Math Club membership from 2015 to 2021 is 22 to 36, with a range of 14 members.

Answer 2

A poll is conducted to determine who is most likely to win the election for town mayor. Two random samples of 500 residents each are polled. The data is as follows.

Candidate A Candidate B Total
Sample 1 346 154 500
Sample 2 248 252 500
What percentage of the total polled residents would vote for Candidate A as the town mayor?

(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the percentage of residents who would vote for Candidate A as the town mayor, we need to calculate the total number of residents who would vote for Candidate A.

In Sample 1, 346 residents would vote for Candidate A, and in Sample 2, 248 residents would vote for Candidate A.

Adding these two numbers together, we get:
346 + 248 = 594

Out of the total of 1000 residents polled (500 in each sample), 594 residents would vote for Candidate A.

Now, to find the percentage, we divide the number of residents voting for Candidate A by the total number of residents and then multiply by 100:
(594 / 1000) * 100 = 59.4%

Therefore, 59.4% of the total polled residents would vote for Candidate A as the town mayor.

Answer 4

To determine the average height of trees in a national forest, 10 trees are randomly selected. Their heights in feet are 85.4, 87.6, 87.1, 85.6, 85.9, 85.3, 84.9, 83.7, 84.0, and 85.2. To ensure the accuracy of the data, another set of 10 trees is randomly selected. Their heights are 87.1, 88.0, 84.2, 85.3, 86.5, 84.2, 83.2, 84.1, 85.2, and 87.3. What is the difference between the mean heights of the trees of these two random samples?(1 point)

Answer 5

[AI-generated answer — Bot GPT 3.5]

First, let's calculate the mean height of the trees in the first sample.

Add all the heights of the trees in the first sample:
85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2 = 865.7

Divide the total by the number of trees in the first sample (10):
865.7 / 10 = 86.57

The mean height of the trees in the first sample is 86.57.

Now, let's calculate the mean height of the trees in the second sample.

Add all the heights of the trees in the second sample:
87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3 = 869.1

Divide the total by the number of trees in the second sample (10):
869.1 / 10 = 86.91

The mean height of the trees in the second sample is 86.91.

Now, let's find the difference between the mean heights of the two samples:
86.91 - 86.57 = 0.34

Therefore, the difference between the mean heights of the trees in these two random samples is 0.34 feet.

Answer 6

wrong

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's correct that.

For the first sample:
Total height = 85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2 = 865.7 feet
Mean height of the first sample = 865.7 / 10 = 86.57 feet

For the second sample:
Total height = 87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3 = 869.1 feet
Mean height of the second sample = 869.1 / 10 = 86.91 feet

Now, to find the difference between the mean heights of the two samples:
86.91 - 86.57 = 0.34 feet

Therefore, the correct difference between the mean heights of the trees in these two random samples is 0.34 feet. Thank you for your patience.

Answer 8

Here are the math quiz scores for Student 1 and Student 2.

Student 1: 75 80 84 79 92 86 88 86 86 90
Student 2: 83 85 91 93 72 85 76 80 82 89
Find the range of each student’s math quiz scores. Based on the range, which student performed more consistently on their math quizzes?

(2 points)
The range of Student 1’s math quiz scores is
. The range of Student 2’s math quiz scores is
. Based on the range, Student
performed more consistently on the math quizzes.

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the range for each student's math quiz scores, we need to calculate the difference between the highest and lowest scores.

For Student 1:
Highest score: 92
Lowest score: 75
Range for Student 1: 92 - 75 = 17

For Student 2:
Highest score: 93
Lowest score: 72
Range for Student 2: 93 - 72 = 21

Based on the range of scores, Student 1 performed more consistently on their math quizzes since their scores varied within a smaller range compared to Student 2.

Therefore, the range of Student 1's math quiz scores is 17, the range of Student 2's math quiz scores is 21, and Student 1 performed more consistently on the math quizzes.