Statistic
Problem 1: Graphing
1. These are the results from randomly surveying 42 students about the number of pairs of
shoes they own.
2. Construct a histogram. Make five to six intervals.
You can use this site to help with creating a
histogram. http://www.imathas.com/stattools/
histo.html
3. Calculate the following values.
a. x¯ = _____ (mean)
b. s = _____ (std. dev)
4. Are the data discrete or continuous? How do
you know?
5. In complete sentences, describe the shape of the histogram.
6. 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.
Problem 2: Analyze the Data
1. Determine the following values.
a. Min = _____
b. M = _____
c. Max = _____
d. Q1 = _____
e. Q3 = _____
f. IQR = _____
2. Construct a box plot of data. http://www.imathas.com/stattools/boxplot.html
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?
14 7 1 14 14 7
11 3 11 8 19 4
6 9 18 5 17 8
2 13 5 4 1 9
6 8 20 20 9 10
17 19 8 2 3 2
10 1 9 9 1 15
7. Show your work to find the value that is 1.5 standard deviations:
a. above the mean.
b. below the mean.
