The points scored by a football team are 17, 23, 15, 21, 7, and 13. What is the range?
The range is the difference between the highest and lowest values in the set. In this case, the highest value is 23 and the lowest value is 7, so:
Range = 23 - 7 = 16
Therefore, the range of the points scored by the football team 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?
To find the percentage of the total polled residents who would vote for Candidate A, we need to add up the number of votes for Candidate A in both samples and divide by the total number of residents polled:
Total number of votes for Candidate A = 346 + 248 = 594
Total number of residents polled = 500 + 500 = 1000
Percentage of residents who would vote for Candidate A = (594/1000) x 100% = 59.4%
Therefore, 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?
To find the mean height of the trees in each sample, we need to add up all of the heights and divide by the number of trees:
Mean height of first sample = (85.4 + 87.6 + 87.1 + 85.6 + 85.9 + 85.3 + 84.9 + 83.7 + 84.0 + 85.2)/10 = 85.38 ft
Mean height of second sample = (87.1 + 88.0 + 84.2 + 85.3 + 86.5 + 84.2 + 83.2 + 84.1 + 85.2 + 87.3)/10 = 85.91 ft
The difference between the means is:
85.91 - 85.38 = 0.53
Therefore, the difference between the mean heights of the two random samples is 0.53 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.
The range of Student 1’s math quiz scores is the difference between the highest score and the lowest score. Therefore:
Range of Student 1 = 92 - 75 = 17
The range of Student 2’s math quiz scores is:
Range of Student 2 = 93 - 72 = 21
Based on the range, Student 1 performed more consistently on their math quizzes because their scores were more closely grouped together. Student 1's scores ranged from 75 to 92, with a difference of only 17 points between the highest and lowest score, while Student 2's scores ranged from 72 to 93, with a difference of 21 points between the highest and lowest score.
The numbers of miles Ron biked are 31, 35, 49, 32, 45, 29, 33, 28, and 40.
Determine the range of this data set.(1 point)
The range of a data set is the difference between the highest and lowest values.
In this case, the highest value is 49 and the lowest value is 28. Therefore,
Range = 49 - 28 = 21
The range of the data set is 21.
Which of the following data sets has the smallest range?(1 point)
Responses
{324, 318, 367, 312, 389, 337}
left brace 324, 318, 367, 312, 389, 337 right brace
{37, 19, 40, 54, 75, 68}
left brace 37, 19, 40, 54, 75, 68 right brace
{50, 30, 10, 0, 80, 100}
left brace 50, 30, 10, 0, 80, 100 right brace
{148, 145, 117, 148, 199, 172}
left brace 148, 145, 117, 148, 199, 172 right brace