Relative Frequency Quiz Part 1
Frequency Table
Activity Boys Girls Total
Walk 3 6
Bike 5 3
Skateboard 2 1
Total
Multiple Choice
Use the frequency table about preferred methods of transportation to answer the question.
1. How many students chose walking as their preferred method of transportation? (1 point)
6
3
9
none of these
2. How many total students participated in the survey? (1 point)
10
20
15
none of these
3. What percentage of the total students chose skateboarding? (1 point)
10%
20%
30%
none of these
4. What percentage of the boys chose walking? (1 point)
30%
45%
25%
none of these
5. What percentage of the students who chose biking were girls? (1 point)
30%
37.5%
40%
none of these
6. Which of the following types of information is most likely to display no trend on a scatterplot? (1 point)
relationship between age and number of books read in a year
relationship between height and foot length
relationship between calories consumed and body weight
relationship between height and hair color
Help pls
Unit 3 Lesson 11 Relative Frequency Quiz Part 1
1. 9
2. 20
3. none of these
4. 30%
5. 37.5%
6. The relationship between height and hair color
1. C
2. B
3. D
4. A
5. B
6. D
six is wrong
1. How many students chose walking as their preferred method of transportation? (1 point)
- None of these. Because there is no numerical value given for how many students chose walking in the frequency table.
2. How many total students participated in the survey? (1 point)
- None of these. The total number of students is not provided in the frequency table.
3. What percentage of the total students chose skateboarding? (1 point)
- None of these. The total number of students is not provided in the frequency table to calculate the percentage.
4. What percentage of the boys chose walking? (1 point)
- None of these. The percentage of boys choosing walking is not given in the frequency table.
5. What percentage of the students who chose biking were girls? (1 point)
- None of these. The frequency table does not provide the number of students who chose biking or the number of girls who chose biking.
6. Which of the following types of information is most likely to display no trend on a scatterplot? (1 point)
- Relationship between height and hair color. This is because height and hair color are not expected to be related or influence each other.
1. To determine the number of students who chose walking as their preferred method of transportation, look at the frequency table under the "Walk" row. There are 3 boys and 6 girls, so the total number of students who chose walking is 3 + 6 = 9. Therefore, the correct answer is 9.
2. To find the total number of students who participated in the survey, look at the "Total" column in the frequency table. There is no specific number given, so the correct answer is "none of these" since the total number of students is not provided.
3. To calculate the percentage of students who chose skateboarding, divide the frequency of skateboarding (in this case, 3) by the total number of students (not given). As the total number of students is not provided, we cannot calculate the percentage accurately. Therefore, the correct answer is "none of these."
4. To find the percentage of boys who chose walking, divide the frequency of boys choosing walking (in this case, 3) by the total number of boys (not given). As the total number of boys is not provided, we cannot calculate the percentage accurately. Therefore, the correct answer is "none of these."
5. To calculate the percentage of girls who chose biking, divide the frequency of girls choosing biking (in this case, 3) by the total number of students who chose biking (in this case, 8 - the sum of boys and girls who chose biking). The percentage is (3/8) * 100 = 37.5%. Therefore, the correct answer is 37.5%.
6. A scatter plot is used to display relationships between two continuous variables. Looking at the given options, the relationship between height and hair color is the most likely to display no trend on a scatter plot. Hair color is a categorical variable, while height is continuous. Therefore, the correct answer is "relationship between height and hair color."
To answer these questions, we will refer to the frequency table provided:
Activity Boys Girls Total
Walk 3 6
Bike 5 3
Skateboard 2 1
Total
1. To find out how many students chose walking as their preferred method of transportation, we look at the frequency table under the "Walk" row. The number in the "Boys" column is 3, and in the "Girls" column is 6. Adding these two numbers together, we get a total of 9 students. Therefore, the correct answer is "9."
2. To determine the total number of students who participated in the survey, we need to consider the total column in the frequency table. Unfortunately, the total column is not filled in. However, we can calculate it by adding up the numbers in each activity row:
- For the walk row, we have 3 boys and 6 girls, which gives us 3 + 6 = 9 students.
- For the bike row, we have 5 boys and 3 girls, resulting in 5 + 3 = 8 students.
- For the skateboard row, we have 2 boys and 1 girl, totaling 2 + 1 = 3 students.
Adding up the totals from each row, we have 9 + 8 + 3 = 20. Therefore, the correct answer is "20."
3. To calculate the percentage of the total students who chose skateboarding, we need to divide the number of students who chose skateboarding by the total number of students and then multiply by 100. From the frequency table, we see that there were 3 students who chose skateboarding. Using the total from question 2, which is 20, we can calculate the percentage by (3 / 20) * 100 ≈ 15%. Therefore, the correct answer is "none of these."
4. To find the percentage of boys who chose walking, we divide the number of boys who chose walking by the total number of boys and then multiply by 100. From the frequency table, we have 3 boys who chose walking. To find the total number of boys, we need to add up the numbers in the boys' column for each activity, which results in 3 (walk) + 5 (bike) + 2 (skateboard) = 10 boys. Calculating the percentage, we get (3 / 10) * 100 = 30%. Therefore, the correct answer is "30%."
5. Similarly, to determine the percentage of girls who chose biking, we divide the number of girls who chose biking by the total number of students who chose biking and then multiply by 100. From the frequency table, we see that there were 3 girls who chose biking. To find the total number of students who chose biking, we sum the numbers in the girls' column for each activity: 6 (walk) + 3 (bike) + 1 (skateboard) = 10 students. Calculating the percentage, we get (3 / 10) * 100 = 30%. Therefore, the correct answer is "30%."
6. Finally, the question asks which type of information is most likely to display no trend on a scatterplot. A scatterplot is used to show the relationship between two variables. In this case, the variables mentioned in the answer choices are age and number of books read in a year, height and foot length, calories consumed and body weight, and height and hair color. Out of these options, the relationship between height and hair color is most likely to display no trend on a scatterplot since hair color is not directly related to height. Therefore, the correct answer is "relationship between height and hair color."
I hope this explanation helps! Let me know if you have any further questions.