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Patterns and Relations Day 2 At the end of this class you will be able to: 1) Identify whether data is continuous or discrete from a table or graph. What is continuous data? Data is continuous if you can have values between the whole numbers of something. That means you can have decimal numbers of something. Therefore, all real numbers are possible data values. An example would be distance traveled over time. What is discrete data? Data is discrete if you can only have whole numbers of something. For example, if you are ordering pizza by the slice, since the slices of pizza can only be ordered in whole number values as either 0 for no pizza ordered, 1 for one slice, 2 for two slices,… then this data would be discrete. We do not order 1.2 slices of pizza! Right? So, before identifying data as either discrete or continuous where do I look? If you are given a table of values… look at the dependent variable (usually in the right-hand column). For example: time distance In this case distance depends on time and since (hours) (km) you can have decimal 1 1 values of ‘distance’ then this 2 4 data would be continuous 3 9 data. It is possible to travel 4 16 1.2 km. Cost ($) 0 1 2 3 Hot dogs 0 1 2 3 In this case since you can only have whole number values of ‘hot dogs’ then this data would be discrete data. It is not possible to have 0.3 hot dogs. If you are given a graph… Look at the dependent variable (labelled on the y-axis). For example: In this case since you can have half sizes of shoes, this data would be continuous. It is possible to order a 4 ½ shoe size. In this graph since it involves only years as whole number values from 1900 to 1920 then this data would be discrete. Do: Worksheet