1. Copyright © 2014 Pearson Education. All rights reserved. 3.1-1 3.1 Frequency Tables LEARNING GOAL Be able to create and interpret frequency tables.

2. Copyright © 2014 Pearson Education. All rights reserved. 3.1-2 Slide 3.1- 2 Definition A basic frequency table has two columns: One column lists all the categories of data. The other column lists the frequency of each category, which is the number of data values in the category.

3. Copyright © 2014 Pearson Education. All rights reserved. 3.1-3 Slide 3.1- 3 Definition The relative frequency of any category is the proportion or percentage of the data values that fall in that category: relative frequency = frequency in category total frequency Relative Frequency

4. Copyright © 2014 Pearson Education. All rights reserved. 3.1-4 Slide 3.1- 4 Definition The cumulative frequency of any category is the number of data values in that category and all preceding categories. Cumulative Frequency

5. Copyright © 2014 Pearson Education. All rights reserved. 3.1-5 Slide 3.1- 5 EXAMPLE 1.1 Taste Test Do you like hamburgers? Rate the taste on a 5-point scale: (Strongly Dislike) 1 2 3 4 5 (Strongly Like) Construct a frequency and cumulative frequency table for these data.

6. Copyright © 2014 Pearson Education. All rights reserved. 3.1-6 Slide 3.1- 6 Relative and Cumulative Frequencies Taste Scale Frequency Relative Frequency Cumulative Frequency Relative Cumulative Frequency Total xx

7. Copyright © 2014 Pearson Education. All rights reserved. 3.1-7 Slide 3.1- 7 EXAMPLE 1.2 More on the Taste Test Using the taste test data from Example 1, create a frequency table with columns for the relative and cumulative frequencies. What percentage of the respondents gave “Hamburger” the highest rating? What percentage gave “Hamburger "of the three lowest ratings?