Categorical Data Relative Frequency Table

Categorical Data

• Categorical Data:
  Categorical Data is a data set where the response is not a numeric value.
  Ex: favorite color, favorite type of movie, types of pets

• Relative Frequency Table:
  A table is common way to display categorical data because it is easy to tally the responses. When the percent of each category is calculated, it is called a relative frequency table.

​Use proportional thinking:

​Pet	​Number of Students	​Percent of Students
​Cat	62​	​
Dog​	84​	​
Hamster​	38​	​
Fish​	16​	​

​Relative Frequency Table

Fill in the Blanks

How many total students were surveyed?

​Pet	​Number of Students	​Percent of Students
​Cat	62​	31%​
Dog​	84​	​
Hamster​	38​	​
Fish​	16​	​

​Relative Frequency Table

​A survey is taken to determine the most common pet that students have.

We can complete the relative frequency table by finding the percent of students that have each type of pet.

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What percent of students surveyed have a dog?

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What percent of students surveyed have a hamster?

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What percent of students surveyed have a fish?

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What percent of students have a fish or a hamster?

Multiple Choice

Which pet has the greatest relative frequency?

• cat

• dog

• hamster

• fish

Multiple Choice

Exactly 73% of students owned which two pets

• cats and dogs

• hamsters and dogs

• cats and hamsters

• dogs and fish

Mr. Carpenter's fifth grade social studies class participates in a mock election.

To complete the frequency table, you will need to determine the total number of votes. Then, calculate the percentage of votes for each candidate.

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What percent of votes were for candidate A?

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What percent of votes were for candidate B?

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What percent of votes were for candidate C?

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What percent of votes were for candidate D?

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What percent of voters did not vote for Candidata C?

Multiple Choice

Which candidate got the least number of votes?

• Candidate A

• Candidate B

• Candidate C

• Candidate D

Multiple Choice

Exactly 60% of votes chose which two candidates?

• Candidate A and B

• Candidate A and C

• Candidate C and B

• Candidate D and C

Percent Bar Graphs

A percent bar graph displays categorical data based on the percentage (or relative frequency). It can be found by:

1) Calculating the percent of each category
2) Representing each percent with a bard on a number line

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Morton MIddle School took a survey to determine which new elective should be added to the class offerings. The results are shown in the image.

What percent of the students chose debate?

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Morton MIddle School took a survey to determine which new elective should be added to the class offerings. The results are shown in the image.

What percent of the students chose drama?

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Morton MIddle School took a survey to determine which new elective should be added to the class offerings. The results are shown in the image.

What percent of the students chose Badminton?

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Morton MIddle School took a survey to determine which new elective should be added to the class offerings. The results are shown in the image.

If 300 students were surveyed, then how many chose drama?

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Morton MIddle School took a survey to determine which new elective should be added to the class offerings. The results are shown in the image.

If 300 students were surveyed, then how many chose badminton?

Draw

MR. Gomez surveyed his sixth grade students about their favorite pizza topping. Use the table to sketch a percent bar graph.

Dropdown

MR. Gomez surveyed his sixth grade students about their favorite pizza topping. Determine if the following statements are true or false.

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Select answer

a. The mode pizza topping is cheese

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Select answer

b. Over 50% of the sixth graders chose cheese pizza as their favorite.

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Select answer

c. Exactly 6% of the sixth graders chose veggie pizza as their favorite.

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Select answer

d. Pepperoni and veggie pizza represent less than 60% of favorite pizza toppings.