The points scored by a football team are 17, 23, 15, 21, 7, and 13. What is the range?(1 point)
The range is 16.
To find the range, you subtract the lowest value from the highest value.
In this case, the lowest value is 7 and the highest value is 23.
23 - 7 = 16
Therefore, the range is 16.
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)
The total number of residents polled is 1000, and Candidate A received a total of 346 + 248 = 594 votes in both samples combined.
To find the percentage, you divide Candidate A's total votes by the total number of residents polled and multiply by 100:
(594/1000) x 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)
The mean height of the first sample is:
(85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2) / 10 = 85.28 feet
The mean height of the second sample is:
(87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3) / 10 = 85.91 feet
The difference between the means is:
85.91 - 85.28 = 0.63 feet
Therefore, the difference between the mean heights of the trees of these two random samples is 0.63 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)
For Student 1, the range is the difference between the highest score and the lowest score:
Range = 92 - 75 = 17
For Student 2, the range is the difference between the highest score and the lowest score:
Range = 93 - 72 = 21
Based on the range, Student 1 performed more consistently on their math quizzes because the range of their scores (17) is smaller than the range of Student 2's scores (21). This suggests that the scores of Student 1 are closer to each other, which indicates more consistency in performance.