Stats Lab 2.1
Descriptive Statistics
Student Learning Outcomes
- 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 imply.
Collect the Data Record the number of pairs of shoes you own.
- Randomly survey 30 classmates about the number of pairs of shoes they own. Record their values.
_____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ - Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil and scale the axes.
- Calculate the following values:
- $\overline{x}$ = _____
- s = _____
- Are the data discrete or continuous? How do you know?
- In complete sentences, describe the shape of the histogram.
- Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.
Analyze the Data
- Determine the following values:
- Min = _____
- M = _____
- Max = _____
- Q_{1} = _____
- Q_{3} = _____
- IQR = _____
- Construct a box plot of data.
- What does the shape of the box plot imply about the concentration of data? Use complete sentences.
- Using the box plot, how can you determine if there are potential outliers?
- How does the standard deviation help you to determine concentration of the data and whether there are potential outliers?
- What does the IQR represent in this problem?
- Show your work to find the value that is 1.5 standard deviations
- above the mean.
- below the mean.