The points scored by a football team are 17, 23, 15, 21, 7, and 13. What is the range?(1 point)
points
The range of a set of numbers is the difference between the largest and smallest numbers. In this case, the largest number is 23 and the smallest number is 7.
Range = 23 - 7 = 16
So, the range of the points scored by the football team is 16.
Use 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)
The range of a set of numbers is the difference between the largest and smallest numbers. Looking at the graph, we can see that the smallest number of members is 22 in 2015, and the largest number of members is 36 in 2017.
Range = Largest number - Smallest number = 36 - 22 = 14
Therefore, the range of the Math Club membership from 2015 to 2021 is 14.
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)
%
To find the percentage of residents who would vote for Candidate A, we need to calculate the proportion of residents who chose Candidate A in each sample, and then calculate the average of these proportions.
In Sample 1, 346 out of 500 residents chose Candidate A. This gives us a proportion of 346/500 = 0.692.
In Sample 2, 248 out of 500 residents chose Candidate A. This gives us a proportion of 248/500 = 0.496.
To find the overall proportion, we take the average of these proportions: (0.692 + 0.496)/2 = 0.594.
Finally, to find the percentage, we multiply this proportion by 100%: 0.594 * 100% = 59.4%.
Therefore, approximately 59.4% of the total polled residents would vote for Candidate A as the town mayor.
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)
feet
To find the mean height of each sample, we need to add up all the heights and divide by the number of trees in each sample.
For the first sample:
85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2 = 850.7
Mean height of the first sample = 850.7 / 10 = 85.07 feet
For the second sample:
87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3 = 852.1
Mean height of the second sample = 852.1 / 10 = 85.21 feet
The difference between the mean heights of the two samples is:
85.21 - 85.07 = 0.14 feet
Therefore, the difference between the mean heights of the two random samples is 0.14 feet.
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.
To find the range of each student's math quiz scores, we need to find the difference between the highest and lowest scores for each student.
For Student 1:
The highest score is 92 and the lowest score is 75.
Range of Student 1's math quiz scores = 92 - 75 = 17.
For Student 2:
The highest score is 93 and the lowest score is 72.
Range of Student 2's math quiz scores = 93 - 72 = 21.
Based on the range, the student who performed more consistently on their math quizzes is Student 1 as their range is lower (17) compared to Student 2's range (21).