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# MATH 221 WK 2 LAB

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MATH 221 Statistics for Decision Making

Creating Graphs

1.      Create a pie chart for the variable Car Color: Select the column with the Car variable, including the title of Car Color.  Click on Insert, and then Recommended Charts.  It should show a clustered column and click OK.  Once the chart is shown, right click on the chart (main area) and select Change Chart Type.  Select Pie and OK.  Click on the pie slices, right click Add Data Labels, and select Add Data Callouts.  Add an appropriate title.Copy and paste the chart here. (4 points)

2.      Create a histogram for the variable Height.You need to create a frequency distribution for the data by hand.  Use 5 classes, find the class width, and then create the classes.  Once you have the classes, count how many data points fall within each class. It may be helpful to sort the data based on the Height variable first.  Create a new worksheet in Excel by clicking on the + along the bottom of the screen and type in the categories and the frequency for each category.  Then select the frequency table, click on Insert, then Recommended Charts and choose the column chart shown and click OK.  Right click on one of the bars and select Format Data Series.  In the pop up box, change the Gap Width to 0. Add an appropriate title and axis label.Copy and paste the graph here. (4 points)

3.      Type up a stem-and-leaf plot chart in the box below for the variable Money, with a space between the stems and the group of leaves in each line.  Use the tens value as the stem and the ones value for the leaves.  It may be helpful to sort the data based on the Money variable first.

An example of a stem-and-leaf plot would look like this:

0         4  5  6  9  3

1         5  6  3  6

2         9  2

The stem-and-leaf plot shown above would be for data 4, 5, 6, 9, 3, 15, 16, 13, 16, 29, and 22. (4 points)

Calculating Descriptive Statistics

4.      Calculate descriptive statistics for the variable Height by Gender.  Click on Insert and then Pivot Table.  Click in the top box and select all the data (including labels) from Height through Gender.  Also click on “new worksheet” and then OK.  On the right of the new sheet, click on Height and Gender, making sure that Gender is in the Rows box and Height is in the Values box.   Click on the down arrow next to Height in the Values box and select Value Field Settings.  In the pop up box, click Averagethen OK.  Type in the averages below.  Then click on the down arrow next to Height in the Values box again and select Value Field Settings.  In the pop up box, click on StdDevthen OK.  Type the standard deviations below. (3 points)

All answers should be complete sentences.

5.      What is the most common color of car for students who participated in this survey? Explain how you arrived at your answer. (5 points)

1. What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer.  (5 points)

1. What is seen in the stem and leaf plot for the money variable (include the shape)? Explain your answer.  (5 points)

1. Compare the mean for the heights of males and the mean for the heights of females in these data. Compare the values and explain what can be concluded based on the numbers.   (5 points)

1. Compare the standard deviation for the heights of males and the standard deviation for the heights of females in the class. Compare the values and explain what can be concluded based on the numbers.  (5 points)

1. Using the empirical rule, 95% of female heights should be between what two values? Either show work or explain how your answer was calculated.  (5 points)

11.                        Using the empirical rule, 68% of male heights should be between what two values? Either show work or explain how your answer was calculated.   (5 points)

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