Survey Question #1: How many pairs of shoes do you own?

Survey Question #2: How many times a month do you go to the mall?

NameClass Period

Date

Survey Data from 50 Students

Survey question #1: How many pairs of shoes do you own?

1, 1, 1, 1, 1 ,1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3 | 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12

Mean: 3.76Median: 3Mode: 1Range: 11

Measures of Central Tendency

1. Which number of shoes appears the most in the data for survey question #1?

1, more students have 1 pair of shoes than any other single number (mode).

Measures of Central Tendency

Survey question #2: How many times a month do you go to the mall?

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 | 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5

Mean: 1.7Median: 1Mode: 1Range: 5

2. What is the average number of times a person goes to the mall in 1 month? A person goes to the mall on average 1.7 times a month (mean).

1. How many students own at least 7 pairs of shoes? 8 students own at least 7 pairs of shoes.

2. Which ranges of shoes owned have the highest and lowest frequencies? The highest frequency is 1 to 2 pairs of shoes owned. The lowest frequency is 11 to 12 pairs of shoes owned.

Frequency TableHistogram

1. For what number of shoes do more boys own than girls? More boys own only 1 pair of shoes than girls.

2. For what number of shoes owned are boys and girls equal? The same amount of boys own 2 pairs of shoes as do girls.

Graph of Choice: Double Bar Graph

I chose these two questions because I thought there would be a correlation between the number of shoes a person owns and how many times they go to the mall each month. As it turns out, there is a positive correlation between these two questions among the population surveyed. The correlation is moderate and can be seen on the graph by how close together the points are. The points make a positive correlation that increases as the points move up and from left to right across the graph. The data shows that as the number of shoes a person owns increases, the number of times they visit the mall in a month also increases. An outlier point can be found at (11, 2) in the scatter plot. This means that one person has 11 pairs of shoes but only goes to the mall about 2 times a month.

Line of Best Fit:

y = ½x

By completing this project, I learned that there is a correlation between the number of shoes a person owns and how many times a month they go to the mall. The more pairs of shoes a person owns, the more likely they are to go to the mall frequently. However, I did learn that Aprende 7th grade students don’t go to the mall as often as I thought as the mean is only 1.7 times per month. The median and mode are both only 1 time per month. I learned that the average student has 3.76 pairs of shoes, but I did notice that more students have 1 or 2 pairs of shoes, rather than more than 3. I think the mean should be lower and might be skewed because of the students who have 10, 11, or 12 pairs of shoes.

When comparing boys to girls on the double bar graph, I found it interesting that more boys have only 1 pair of shoes and more girls have 3 pairs of shoes. I also noticed that more girls have a greater quantity of shoes than boys do; 2 boys have 8 or more pairs of shoes and 5 girls have 8 or more pairs of shoes. The double bar graph made it easy to see the difference in how many pairs of shoes boys and girls have, which can be related to how many times they go to the mall in a month.

Summary