UNIT 1 DAY 7: USING DATA REPRESENTATIONS Essential Questions: What different ways are there to represent data? Which type works best for specific sets of data?

Vocabulary Quantitative: data where responses are numbers Qualitative: data where responses are not numbers Measures of Central Tendency: mean, median, and mode

Bar Graphs When to use: Specific categories to choose from You want to compare the amount in each category visually When not to use: Free answer categories High number in each category (forces estimates)

Line Graphs When to use: Used mainly with one category, but may be used with more than one category You want to see change over time When not to use: Too many categories You don’t need to calculate exact numbers

Example 1 How many more cookies did the Girl Scouts sell on Friday than on Monday? About 35

Pie Charts When to use: More than one category You want to compare categories to each other and to the whole You want to be able to calculate exact numbers When not to use: Too many categories You don’t need to calculate exact numbers

Example 2 Which category used a quarter of the budget? Which two categories used the same amount of the budget? Hotel Food and Tickets

Stem and Leaf Plots When to use: Only one category Quantitative data You want to see every response Almost every response is different When not to use: More than one category Qualitative data You have a lot of data with the same responses multiple times

Example 3 What is the difference between the highest and lowest quiz score (range)? Range: 56

Box-and-Whisker Plots When to use: Only one category You care about measures of central tendency more than comparing responses visually Quantitative data When not to use: More than one category Qualitative data You don’t want to see how many responses for each number

Venn Diagrams When not to use: More than 3 categories Responders can only choose one response When to use: 2-3 categories Responders have the option of “both” or “all”

Summary Essential Questions: What different ways are there to represent data? Which type works best for specific sets of data? Use 1 minute to write 2 sentences answering the essential questions.