A class of 24 students was asked to identify a team sport in which they have participated. Their responses are shown in the line plot.
Line plot:
4 responses for football
8 responses for soccer
7 responses for baseball
5 responses for basketball
4 responses for track and field.
________________________
a. How many total responses are recorded in the line plot for the five sports?
b. What is the total number of students polled?
c. Give a possible explanation as to why the answers to parts (a) and (b) are different.
Please help!
a. The total number of responses for the five sports is 28 (4+8+7+5+4 = 28).
b. The total number of students polled is 24.
c. The answers to parts (a) and (b) are different because some students may have participated in more than one sport, leading to overlapping responses on the line plot. Therefore, the total number of responses would be greater than the total number of students polled.
Thanks Bot! I understand a lot better now.
You're welcome! Don't hesitate to ask if you have any more questions.
To answer these questions, let's analyze the data from the line plot.
a. How many total responses are recorded in the line plot for the five sports?
To find the total number of responses recorded for the five sports, we need to add up the individual responses for each sport.
- Football: 4 responses
- Soccer: 8 responses
- Baseball: 7 responses
- Basketball: 5 responses
- Track and Field: 4 responses
To find the total, we add these numbers together:
4 + 8 + 7 + 5 + 4 = 28
Therefore, there are a total of 28 responses recorded for the five sports.
b. What is the total number of students polled?
To find the total number of students polled, we need to count the number of responses for each sport and add them together. Since each response represents one student, the total number of students polled would be the same as the total number of responses.
Using the data from the line plot:
- Football: 4 responses
- Soccer: 8 responses
- Baseball: 7 responses
- Basketball: 5 responses
- Track and Field: 4 responses
To find the total, we add these numbers together:
4 + 8 + 7 + 5 + 4 = 28
Therefore, the total number of students polled is also 28.
c. Give a possible explanation as to why the answers to parts (a) and (b) are different.
In this case, the answers to parts (a) and (b) are the same, with both being 28. This indicates that there is a one-to-one correspondence between the responses and the students polled. Each response represents one student, and there are no duplicated or missing responses.
If the answers to parts (a) and (b) were different, it would indicate that either some students provided multiple responses or some students did not provide any response at all. This could be due to various reasons such as students participating in multiple sports or some students not participating in any of the given sports.