Embed Size (px)
DESCRIPTION
Review of Box Plots Step 1- List numbers from least to greatest. Step 2- Find the five number summary. – Minimum: Least value – Maximum: Greatest Value – Median: The middle value or average of the two middle values. – Q1: The median of the lower half of the data. – Q3: The median of the upper half of the data. Step 3- Create a number line with appropriate values. Step 4- Plot a point for the five values from the five number summary. Step 5- Draw a box from Q1 to Q3, a vertical line through the median, and horizontal “whiskers” that extend from Q1 to the minimum and Q3 to the maximum. For Further Analysis: Step 6- Calculate the IQR (Q3-Q1) Step 7- Multiply IQR by 1.5 to determine if there are any outliers. © Copyright 2015 – all rights reserved
Citation preview
A Box Plot is……
A box and whisker plot is a horizontal or vertical graphical representation of the distribution of data.– The end points are the minimum and maximum
values (or whiskers) connected to a rectangular box – The box’s ends represent the first and third
quartiles (Q1 & Q3) with an embedded line parallel to the ends representing the median of the data.
• © Copyright 2015 – all rights reserved www.cpalms.org
Review of Box Plots • Step 1- List numbers from least to greatest.• Step 2- Find the five number summary.
– Minimum: Least value– Maximum: Greatest Value– Median: The middle value or average of the two middle values.– Q1: The median of the lower half of the data. – Q3: The median of the upper half of the data.
• Step 3- Create a number line with appropriate values. • Step 4- Plot a point for the five values from the five number summary. • Step 5- Draw a box from Q1 to Q3, a vertical line through the median, and horizontal
“whiskers” that extend from Q1 to the minimum and Q3 to the maximum.
For Further Analysis:Step 6- Calculate the IQR (Q3-Q1)Step 7- Multiply IQR by 1.5 to determine if there are any outliers.
• © Copyright 2015 – all rights reserved www.cpalms.org
Bowling • In the game of bowling, a player takes a bowling ball and
attempts to knock down 10 pins on a total of up to two turns.
• Each frame includes two chances or rolls to knock down 10 pins. Your frame total is the total number of pins for that frame.
• A strike (X) is marked when you knock down all the pins with your first roll. You score 10 pins plus your next two rolls in total pins.
• A spare (/) is marked when you knock down all the pins with two rolls. Your score for that frame would be 10 plus your next roll.
• © Copyright 2015 – all rights reserved www.cpalms.org
Other information• You can bowl between 0-300 (perfect game)• Increase your score by increasing your
“marks”:
– Strikes help the most.– Spares help the second most.
• © Copyright 2015 – all rights reserved www.cpalms.org
Try this…
What is the total score? You have 1 minute!
Frame: 1 2 3
Result: X 7/ 7 2
Frame Score:
Running Total:
• © Copyright 2015 – all rights reserved www.cpalms.org
Continued
Did you get?
• Frame #• 1-- 20• 2--37• 3--46
• © Copyright 2015 – all rights reserved www.cpalms.org
Guided Practice
A bowling league on Friday night scored the following scores: 225, 214, 247, 196, 276, 202, 227, 182, 226, 176, and 223. The Saturday morning league scored these scores: 212, 192, 199, 215, 175, 247, 258, 216, 215, 242, 236, and 158.
Task: Compare the league scores by creating two box plots and analyzing the data. What conclusions can you make?
• © Copyright 2015 – all rights reserved www.cpalms.org
Box Plot
Friday League
Saturday League
• © Copyright 2015 – all rights reserved www.cpalms.org
Results
What is the median of the Friday and Saturday leagues? – Which is greater?– What caused the shift in medians?
What is the IQR (Q3-Q1)?– Which shows a larger “spread” of the data via the IQR?– What does this tell you about the middle 50% of the data of
both box plots?– Calculate IQR * 1.5. Any value + or – (IQR* 1.5) is an outlier. Are
there any outliers?– What effects do(es) the outlier(s) have on the mean, median, and
range?
• © Copyright 2015 – all rights reserved www.cpalms.org
Independent Practice—Est. 30 minutes
• You will assemble into groups of 3 to 4 and bowl one game per person.
• Break up roles to use time efficiently: one bowler, one scorer, one setup person, and one cleanup person.
• Once you have finished, gather the four scores for reporting.
• © Copyright 2015 – all rights reserved www.cpalms.org
Bowling Results –students may work in their groups for 10-15 minutes to
answer the following questions. Answers will be reviewed during class time. The teacher will tabulate the data into GeoGebra before students answer the following questions:
What is the median of the F? – Which is greater?– What caused the shift in medians?
What is the IQR (Q3-Q1)?– Which shows a larger “spread” of the data via the IQR?– What does this tell you about the middle 50% of the data of
both box plots?– Calculate IQR * 1.5. Any value + or – (IQR* 1.5) is an outlier.
Are there any outliers?– What effects do(es) the outlier(s) have on the mean, median,
and range?
• © Copyright 2015 – all rights reserved www.cpalms.org
Exit Slip
What can you conclude about weight of cars in the US, Asia, and Europe via the median and IQR?
• © Copyright 2015 – all rights reserved www.cpalms.org
