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

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

Copyright © 2014 Pearson Education. All rights reserved Slide 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.

Copyright © 2014 Pearson Education. All rights reserved Slide 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

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

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

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

Copyright © 2014 Pearson Education. All rights reserved Slide 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?