Comparing Numerical Data Using Box Plots
Lesson 7
1
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 annualsnowfall of two mountains for the past 50 years, how would youcompare 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
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. …
Launch Think-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. …
Launch Whole Class
5
0 50 100 150 200 250 300 350 400
Annual Snowfall (inches)
Powder Valley
Mad Mountain
Agenda
Launch Small Group
6
0 50 100 150 200 250 300 350 400
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
Explore Whole 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
50 100 150 200 250 300 350 400
Agenda
Explore Whole 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
50 100 150 200 250 300 350 400
Agenda
Explore Whole 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
50 100 150 200 250 300 350 400
Agenda
Explore Whole 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
50 100 150 200 250 300 350 400
Agenda
Explore Whole 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
50 100 150 200 250 300 350 400
Agenda
Explore Think-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 50 100 150 200 250 300 350 400
Powder Valley
Mad Mountain
Hint
Agenda
Explore Think-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 50 100 150 200 250 300 350 400
Powder Valley
Mad Mountain
Hint
Agenda
Explore Whole 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
50 100 150 200 250 300 350 400
Agenda
Explore Whole 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
0Annual Snowfall (inches)
Powder Valley
Mad Mountain
50 100 150 200 250 300 350 400
Agenda
Explore Small 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
Explore Think-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
0Annual Snowfall (inches)
Powder Valley
Mad Mountain
50 100 150 200 250 300 350 400
Agenda
Explore Whole Class
18
Original Question: If your job is to recommend a ski resort by comparingthe annual snowfall between two mountains for the past 50 years, howwould you compare all the data?
How did we use the box plot to answer this question?
0
Annual Snowfall (inches)
Powder Valley
Mad Mountain
50 100 150 200 250 300 350 400
Agenda
Practice
19
Part 1 - (15 Min)
Work independently and check in with a partner to complete your class work.
1-Worksheet2-Share Out
In 15 minutes you will be asked to stop and share your answers!
Click on the timer!
Agenda
Practice – Student Share Out
20
Part 2 – (8 Min)
Students share out work.
Classwork Questions
Agenda