Answers to Measures of Variation Practice
The points scored by a football team are 17, 23, 15, 21, 7, and 13. What is the range?
A: 16 points
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.
A: 14 members
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?
A: 59.4%
The weights of a group of five friends are 150 lbs, 160 lbs, 170 lbs, 180 lbs, and 190 lbs. What is the variance of their weights?
A: 166.6667
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)
A: 0.04 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?
A: The range of Student 1’s math quiz scores is 17. The range of Student 2’s math quiz scores is 21. Based on the range, Student 1 performed more consistently on the math quizzes.