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# Describing and Displaying Categorical Data Practice Questions

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Updated on Oct 5, 2011

To review these concepts, go to Describing and Displaying Categorical Data Study Guide.

## Describing and Displaying Categorical Data Practice Questions

### Practice

1. Each of 83 students in a university class was asked whether he or she says "soda," "pop," or "coke" when ordering a cola beverage. Thirtyone responded "soda," 27 said "pop," and 25 use "coke." Provide a tabular display of the frequency and relative frequency distributions of the choice of term for cola beverages for this class.
2. For the 2004—2005 ﬂu season, there was a shortage of the ﬂu vaccine. The U.S. Centers for Disease Control (CDC) recommended that the vaccine be reserved for individuals at least 65 years old, those 6 to 23 months old, and persons aged 2 to 64 years with conditions that increased their risk of inﬂuenza complications. Persons aged 50 to 64 and those in household contact with high-risk people were added to the list in late December 2004. The city council of a large city wanted to know whether or not the ﬁnal ﬂu vaccination rate was high for community residents. In February 2005, they commissioned a survey of 1,000 randomly chosen residents who were at least 18 years of age. Of the 1,000 surveyed, 267 had received the vaccine and 733 had not. Provide a tabular display of the frequency and relative frequency distributions of those who had and had not received the ﬂu vaccine.
3. Using the information in practice problem 1, create a pie chart of the frequency and relative frequency distributions for the use of "soda," "pop," and "coke" when referring to a cola beverage.
4. Using the information in practice problem 2, create a pie chart of the frequency and relative frequency distributions for ﬂu vaccination or no ﬂu vaccination during the 2004—2005 ﬂu season based on this sample of the city's adult population.
5. For the university class discussed in practice problem 1, create a relative frequency bar chart of the responses that students gave in whether they called a cola beverage "soda," "pop," or "coke."
6. For the sample from the large city discussed in practice problem 2, create a percent bar chart of those 18 years and older who did and did not get the ﬂu vaccination.

The City Council in the large city that did a study on the adults receiving ﬂu vaccines decided it needed to consider the proportion receiving the vaccine within each risk group to judge the success of the program.Of the 233 sampled adults at least 65 years of age, 146 had been vaccinated. There were 158 sampled adults between ages 18 and 64 with high-risk conditions, and 41 of these were vaccinated. Healthcare workers with patient contact were another high-risk group, and 23 of the 64 sampled adults in this group received the ﬂu vaccine. For those who did not fall in one of these high-risk groups, 24 of the 342 healthy sampled adults between 18 and 49 years of age and 33 of the 203 healthy sampled adults between 50 and 64 years were vaccinated.

1. List the response and explanatory variables.
2. Present the data in tabular form showing both counts and relative frequencies for each combination of the values of response and explanatory variables.
3. Make side-by-side pie charts presenting the data.
4. For the complete ﬂu vaccine data given in practice problem 7, create a bar chart that will allow for an easy comparison of the proportion vaccinated in each risk group.

#### Solutions

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7. Explanatory variable: age and risk (healthy or at risk); Response variable: whether or not they received the flu vaccine.

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