Class Time:
Names:
- The student will construct a histogram and a box plot.
- The student will calculate univariate statistics.
- The student will examine the graphs to interpret what the data implies.
Record the number of pairs of shoes you own:
- Randomly survey 30 classmates. Record their values.
Table 1: Survey Results
| _____ |
_____ |
_____ |
_____ |
_____ |
| _____ |
_____ |
_____ |
_____ |
_____ |
| _____ |
_____ |
_____ |
_____ |
_____ |
| _____ |
_____ |
_____ |
_____ |
_____ |
| _____ |
_____ |
_____ |
_____ |
_____ |
| _____ |
_____ |
_____ |
_____ |
_____ |
- Construct a histogram. Make 5-6 intervals. Sketch the graph using a ruler and pencil. Scale the axes.
- Calculate the following:
- Are the data discrete or continuous? How do you know?
- Describe the shape of the histogram. Use complete sentences.
- Are there any potential outliers? Which value(s) is (are) it (they)? Use a formula to check the end values to determine if they are potential outliers.
- 1. Determine the following:
- Minimum value =
- Median =
- Maximum value =
- First quartile =
- Third quartile =
- IQR =
- 2. Construct a box plot of data
- 3. What does the shape of the box plot imply about the concentration of data? Use complete sentences.
- 4. Using the box plot, how can you determine if there are potential outliers?
- 5. How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers?
- 6. What does the IQR represent in this problem?
- 7. Show your work to find the value that is 1.5 standard deviations:
- a. Above the mean:
- b. Below the mean:
"Collaborative Statistics was written by two faculty members at De Anza College in Cupertino, California. This book is intended for introductory statistics courses being taken by students at two- […]"