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Comparing Numerical Data Using Box Plots Lesson 7 1.

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Presentation on theme: "Comparing Numerical Data Using Box Plots Lesson 7 1."— Presentation transcript:

1 Comparing Numerical Data Using Box Plots Lesson 7 1

2 Warm Up OBJECTIVE: SWBAT compare numerical data using box plots. Language Objective: SWBAT verbally analyze and compare data using content specific vocabulary. Agenda 2 If your job is to recommend a ski resort by comparing the annual snowfall of two mountains for the past 50 years, how would you compare all the data? (Hint: What are some measures we have been using to compare sets of data?) 1962 1963 1964 1965 1966 1967 … Powder Valley Mad Mountain 217 in. 132 in. 310 in. 104 in. 186 in. 287 in. … 107 in. 233 in. 207 in. 106 in. 229 in. 37 in. … Mean,Median, Minimum, Maximum, Q1, Q3

3 Launch Turn and Talk Agenda 3 What are some of the ways we can represent this data visually so we can compare it more easily? 1962 1963 1964 1965 1966 1967 … Powder Valley Mad Mountain 217 in. 132 in. 310 in. 104 in. 186 in. 287 in. … 107 in. 233 in. 207 in. 106 in. 229 in. 37 in. …

4 LaunchThink-Pair-Share 4 We have been using box plots to summarize sets of data. How could we show 2 sets of data on a box plot? Sketch what that might look like. 1962 1963 1964 1965 1966 1967 … Powder Valley Mad Mountain 217 in. 132 in. 310 in. 104 in. 186 in. 287 in. … 107 in. 233 in. 207 in. 106 in. 229 in. 37 in. …

5 LaunchWhole Class 5 0 50100150 200 250 300 350400 Annual Snowfall (inches) Powder Valley Mad Mountain Agenda

6 LaunchSmall Group 6 0 50100150 200 250 300 350400 Annual Snowfall (inches) Powder Valley Mad Mountain How can we use this box plot to compare the two ski resorts? (Hint: Is there a way to use the box plot to compare the values from the five number summary for each resort?) Agenda

7 ExploreWhole Class 7 From the box plot, you can easily see the median snowfall for each resort. Powder Mad Valley Mountain Median 175 inches 225 inches 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100 150200250 300350400 Agenda

8 ExploreWhole Class 8 Using the medians to compare the resorts, which resort appears to be better? Powder Mad Valley Mountain Median 175 inches 225 inches 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

9 ExploreWhole Class 9 Using the box plot, you can identify the record high (maximum) and record low (minimum) annual snowfalls for each resort. Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

10 ExploreWhole Class 10 Using the minimum values to compare the resorts, which resort appears to be better? Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

11 ExploreWhole Class 11 Using the maximum values to compare the resorts, which resort appears to be better? Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

12 ExploreThink-Pair-Share 12 What does the distance between points in the box plot tell you about how spread out the data is? The greater the distance between points in the box plot, the more spread out the annual snowfall data is. 0 50100150 200 250 300 350400 Powder Valley Mad Mountain Hint Agenda

13 ExploreThink-Pair-Share 13 What does the distance between points in the box plot tell you about how spread out the data is? The greater the distance between points in the box plot, the more spread out the annual snowfall data is. 0 50100150 200 250 300 350400 Powder Valley Mad Mountain Hint Agenda

14 ExploreWhole Class 14 Which mountain varies less in terms of the amount of snowfall from year to year? Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches Variation small large 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

15 ExploreWhole Class 15 Which resort has a greater chance of receiving more than 300 inches of snow? Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches Variation small large Chance of >300 in. lesser greater 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

16 ExploreSmall Group 16 Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches Variation small large Chance of >300 in. lesser greater Which resort would you recommend? Agenda

17 ExploreThink-Pair-Share 17 How does the data gathered below relate to the pieces of a five number summary? Powder Mad Valley Mountain Median 175 inches 225 inches Record Low 75 inches 0 inches Record High 325 inches 400 inches Variation small large Chance of >300 in. lesser greater 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

18 ExploreWhole Class 18 Original Question: If your job is to recommend a ski resort by comparing the annual snowfall between two mountains for the past 50 years, how would you compare all the data? How did we use the box plot to answer this question? 0 Annual Snowfall (inches) Powder Valley Mad Mountain 50100150200250 300350400 Agenda

19 Practice 19 Part 1 - (15 Min) Work independently and check in with a partner to complete your class work. 1-Worksheet 2-Share Out In 15 minutes you will be asked to stop and share your answers! Click on the timer! Agenda

20 Practice – Student Share Out 20 Part 2 – (8 Min) Students share out work. Classwork Questions Agenda

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