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.
Survey Results
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- 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.
- Determine the following:
- Minimum value =
- Median =
- Maximum value =
- First quartile =
- Third quartile =
- 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 or not 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:
- a. Above the mean:
- b. Below the mean:
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