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Comparing Numerical Data Using Box Plots

Compare numerical data using box plots to analyze snowfall data of two ski resorts over 50 years. Learn to interpret box plots, use measures like mean and median, and decide based on visual representation.

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Comparing Numerical Data Using Box Plots

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  1. Comparing Numerical Data Using Box Plots Lesson 7

  2. Warm Up OBJECTIVE: SWBAT compare numerical data using box plots. Language Objective: SWBAT verbally analyze and compare data using content specific vocabulary. 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 Agenda

  3. Launch Turn and Talk 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. … What are some of the ways we can represent this data visually so we can compare it more easily? Agenda

  4. Launch Think-Pair-Share 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. … 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.

  5. Launch Whole Class Powder Valley Mad Mountain 0 50 100 150 200 250 300 350 400 Annual Snowfall (inches) Agenda

  6. Launch Small Group 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?) Powder Valley Mad Mountain 0 50 100 150 200 250 300 350 400 Annual Snowfall (inches) Agenda

  7. Explore Whole Class From the box plot, you can easily see the median snowfall for each resort. Powder Mad Valley Mountain Median 175 inches 225 inches Powder Valley Mad Mountain 0 50 100 150 200 250 300 350 400 Annual Snowfall (inches) Agenda

  8. Explore Whole Class Using the medians to compare the resorts, which resort appears to be better? Powder Mad Valley Mountain Median 175 inches 225 inches Powder Valley Mad Mountain 0 100 250 50 150 200 300 350 400 Annual Snowfall (inches) Agenda

  9. Explore Whole Class 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 Powder Valley Mad Mountain 0 100 250 50 150 200 300 350 400 Annual Snowfall (inches) Agenda

  10. Explore Whole Class 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 Powder Valley Mad Mountain 0 100 250 50 150 200 300 350 400 Annual Snowfall (inches) Agenda

  11. Explore Whole Class 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 Powder Valley Mad Mountain 0 100 250 50 150 200 300 350 400 Annual Snowfall (inches) Agenda

  12. Explore Think-Pair-Share 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. Powder Valley Mad Mountain 0 50 100 150 200 250 300 350 400 Agenda Hint

  13. Explore Think-Pair-Share 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. Powder Valley Mad Mountain 0 50 100 150 200 250 300 350 400 Agenda Hint

  14. Explore Whole Class 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 Variationsmall large Powder Valley Mad Mountain 0 100 250 50 150 200 300 350 400 Annual Snowfall (inches) Agenda

  15. Explore Whole Class 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 Variationsmall large Chance of >300 in. lesser greater Powder Valley Mad Mountain 0 250 50 100 150 200 300 350 400 Annual Snowfall (inches) Agenda

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

  17. Explore Think-Pair-Share 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 Variationsmall large Chance of >300 in. lesser greater Powder Valley Mad Mountain 0 250 50 100 150 200 300 350 400 Annual Snowfall (inches) Agenda

  18. Explore Whole Class 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? Powder Valley Mad Mountain 0 100 250 50 150 200 300 350 400 Annual Snowfall (inches) Agenda

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

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

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