1.Thompson Security has been hired to determine the number of visitors at Argon Mall on a typical 10-hour day. They counted

the number of people who entered the mall during three 1-hour spans on Wednesday, August 10. They entered the data into a
table as shown.
How can the data be used to determine the best estimate of the total number of visitors at the mall for a typical day?
What do you think is a reasonable estimate for the number of visitors for a typical day? Show your work.
Do you think Thompson Security could have used a better plan for their gathering of data? Explain your answer.

2. Janet’s math group is creating a circle graph to represent data they collected from a survey. They asked students at their
school the color of one car their family drives. They collected data from 200 students.
Describe a plan for Janet’s team to use to organize the data and to create the circle graph.
Time Number of Visitors
10:00-11:00 a.m. 543
1:00-2:00 p.m. 478
5:00-6:00 p.m. 650

1. To determine the best estimate of the total number of visitors at the mall for a typical day, we can use the data provided by Thompson Security. Since they have counted the number of people who entered the mall during three 1-hour spans on Wednesday, August 10, we can use this data to make an estimate.

To do this, we can calculate the average number of visitors per hour based on the data collected. First, add up the number of visitors during each hour:

543 (10:00-11:00 a.m.) + 478 (1:00-2:00 p.m.) + 650 (5:00-6:00 p.m.) = 1671

Next, divide the total number of visitors by the number of hours observed to get the average number of visitors per hour:

1671 / 3 = 557 visitors per hour

Now, since there are 10 hours in a typical day, we can multiply the average number of visitors per hour by 10 to estimate the total number of visitors for a typical day:

557 visitors per hour * 10 hours = 5570 visitors for a typical day

So, a reasonable estimate for the number of visitors for a typical day would be around 5570 visitors.

2. To organize the data collected from the survey and create a circle graph, here is a plan for Janet's team:

1. Create categories for the different car colors (e.g., red, blue, green, etc.).
2. Count the number of responses for each car color category from the 200 students surveyed.
3. Calculate the percentage of each car color category by dividing the number of responses in that category by the total number of responses (200), and then multiplying by 100.
4. Draw a circle and divide it into sectors representing each car color category. The size of each sector should correspond to the percentage calculated for that category.
5. Label each sector with the car color and the percentage it represents.
6. Add a title and any necessary labels to the circle graph to make it informative and clear.

By following this plan, Janet's team can organize the data and create an accurate circle graph to represent the car color preferences of the surveyed students at their school.

1. To determine the best estimate of the total number of visitors at the mall for a typical day, Thompson Security can use the data they collected during the three 1-hour spans. They can calculate the average number of visitors per hour by summing up the number of visitors during each hour and dividing it by the total number of hours (in this case, 3). This will give them the average number of visitors per hour. Then, they can multiply this average by the total number of hours in a typical day (in this case, 10) to estimate the total number of visitors for a typical day.

For example:
Average number of visitors per hour = (543 + 478 + 650) / 3 = 557

Estimated total number of visitors for a typical day = Average number of visitors per hour x Total number of hours = 557 x 10 = 5570

Therefore, a reasonable estimate for the number of visitors for a typical day is 5570.

2. To organize the data and create a circle graph for Janet's math group, they can follow these steps:
- First, they can create a table with two columns: "Car Color" and "Number of Students".
- In the "Car Color" column, they can list the different colors of cars that the students mentioned.
- In the "Number of Students" column, they can tally the number of times each color is mentioned by the students.
- After tallying the data, they can total the number of students for all car colors to make sure it matches the total sample size of 200 students.
- Once the data is organized in the table, they can calculate the percentage of students for each car color by dividing the number of students for that color by the total sample size (200) and multiplying by 100.
- Finally, they can use the calculated percentages to create the circle graph by drawing a circle and dividing it into sectors that represent each car color. The size of each sector will correspond to the percentage of students for that color.

By following this plan, Janet's team can effectively organize the data and create a circle graph to represent the car color preferences of the students at their school.