box and whisker plots. lesson aims compare sets of data using box and whisker plots(7a) to do that...
TRANSCRIPT
Box and Whisker Plots
Lesson Aims• Compare sets of data using BOX AND
WHISKER PLOTS (7a)• To do that you must be able to:
• Drawing box and whisker plots (7b)• Reading key information of box and whisker plots (7b)
Avengers Assemble!
Highest valueUpper QuartileLower Quartile Median
Lowest value
1st 2nd 3rd 4th 5th 6th 7th
9081 955534 10097
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Power
Highest valueUpper QuartileLower Quartile Median
Lowest value
1st 2nd 3rd 4th 5th 6th 7th
8785 905849 10091
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Cunning
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
What are the differences between the teams Power and Cunning?
Cunning
Power
Range
Interquartile range
(Spread of all data)
(Spread of middle 50% of data)
Select Your Team!
Instructions 1. Draw 2 box and whisker plots for your team, 1 for their
cunning and 1 for their power.2. Write in your books 3 differences between the two plots3. Now add 4 soldiers to your team and draw the new box
plots, what has changed? Write the differences down in your book
4. Put the soldiers back (they’ve done their time) and randomly pick 4 super heroes. Draw the new plots, what has changed now? Write the differences in your book.
Progress Check
0 10 20 30 40 50 60 70 80 90
A
B
Which set of data contains the largest value?
A B
Instructions 1. Shuffle the heroes and give everyone on your table 11
cards2. Draw 2 box and whisker plots for your team, 1 for their
cunning and 1 for their power.3. Write in your books 3 differences between the two plots4. Now add 4 soldiers to your team and draw the new box
plots, what has changed? Write the differences down in your book
5. Put the soldiers back (they’ve done their time) and randomly pick 4 super heroes. Draw the new plots, what has changed now? Write the differences in your book.
Progress Check
0 10 20 30 40 50 60 70 80 90
A
B
Which set of data has the largest range?
A B
Instructions 1. Shuffle the heroes and give everyone on your table 11
cards2. Draw 2 box and whisker plots for your team, 1 for their
cunning and 1 for their power.3. Write in your books 3 differences between the two plots4. Now add 4 soldiers to your team and draw the new box
plots, what has changed? Write the differences down in your book
5. Put the soldiers back (they’ve done their time) and randomly pick 4 super heroes. Draw the new plots, what has changed now? Write the differences in your book.
Progress Check
0 10 20 30 40 50 60 70 80 90
A
B
Which set of data has the largest interquartile range?
A B
Instructions 1. Shuffle the heroes and give everyone on your table 11
cards2. Draw 2 box and whisker plots for your team, 1 for their
cunning and 1 for their power.3. Write in your books 3 differences between the two plots4. Now add 4 soldiers to your team and draw the new box
plots, what has changed? Write the differences down in your book
5. Put the soldiers back (they’ve done their time) and randomly pick 4 super heroes. Draw the new plots, what has changed now? Write the differences in your book.
0 10 20 30 40 50 60 70 80 90 100
0 10 20 30 40 50 60 70 80 90 100
0 10 20 30 40 50 60 70 80 90 100
Just Heroes
Heroes and Soldiers
Heroes and Super Heroes
Progress Check
0 10 20 30 40 50 60 70 80 90
A
B
Which set of data has the largest median?
A B C the same
Instructions 1. Shuffle the heroes and give everyone on your table 11
cards2. Draw 2 box and whisker plots for your team, 1 for their
cunning and 1 for their power.3. Write in your books 3 differences between the two plots4. Now add 4 soldiers to your team and draw the new box
plots, what has changed? Write the differences down in your book
5. Put the soldiers back (they’ve done their time) and randomly pick 4 super heroes. Draw the new plots, what has changed now? Write the differences in your book.
Lesson Aims• Compare sets of data using BOX AND
WHISKER PLOTS (7a)• To do that you must be able to:
• Drawing box and whisker plots (7b)• Reading key information of box and whisker plots (7b)
• Be aware of positive and negative skew, e.g what happens when you have lots of small values or lots of big values (level 8)
Plenary
0 10 20 30 40 50 60 70 80 90
A
B
A and B represent teams of super heroes, each team has 10 members. The earth is in trouble, which team would you want to protect you?
Write in your books which team you would pick and why.
Stand up if you picked team A