comparing numerical data using box plots lesson 7 1

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


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


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?



0


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.



Record Low 75 inches 0 inches

Record High 325 inches 400 inches

0


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?





0


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?





0


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


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




Variation small large

0


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?






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







Which resort would you recommend?

Agenda


17

How does the data gathered below relate to the pieces of a five number summary?







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


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

comparing numerical data using box plots lesson 7 1

Documents

inches record low

inches record high

powder valley mad mountain

sets of data

numerical data

annual snowfall data

box plotslesson

median snowfall