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!

Power 97 1st 2nd 3rd 4th 5th 6th 7th 34 55 81 95 100 90 Lower Quartile Median Upper Quartile Highest value Lowest value 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

Cunning 91 49 58 85 90 100 1st 2nd 3rd 4th 5th 6th 7th 87 Lower Quartile Median Upper Quartile Highest value Lowest value 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? Range (Spread of all data) Power Cunning 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 Interquartile range (Spread of middle 50% of data)

Select Your Team!

Instructions Draw 2 box and whisker plots for your team, 1 for their cunning and 1 for their power. Write in your books 3 differences between the two plots Now add 4 soldiers to your team and draw the new box plots, what has changed? Write the differences down in your book 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.

A B Progress Check Which set of data contains the largest value? A B 10 20 30 40 50 60 70 80 90 Which set of data contains the largest value? A B

Instructions Shuffle the heroes and give everyone on your table 11 cards Draw 2 box and whisker plots for your team, 1 for their cunning and 1 for their power. Write in your books 3 differences between the two plots Now add 4 soldiers to your team and draw the new box plots, what has changed? Write the differences down in your book 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.

A B Progress Check Which set of data has the largest range? A B 10 20 10 20 30 40 50 60 70 80 90 Which set of data has the largest range? A B

Instructions Shuffle the heroes and give everyone on your table 11 cards Draw 2 box and whisker plots for your team, 1 for their cunning and 1 for their power. Write in your books 3 differences between the two plots Now add 4 soldiers to your team and draw the new box plots, what has changed? Write the differences down in your book 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.

Which set of data has the largest interquartile range? Progress Check A B 10 20 30 40 50 60 70 80 90 Which set of data has the largest interquartile range? A B

Instructions Shuffle the heroes and give everyone on your table 11 cards Draw 2 box and whisker plots for your team, 1 for their cunning and 1 for their power. Write in your books 3 differences between the two plots Now add 4 soldiers to your team and draw the new box plots, what has changed? Write the differences down in your book 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.

Heroes and Super Heroes Just Heroes 10 20 30 40 50 60 70 80 90 100 Heroes and Soldiers 10 20 30 40 50 60 70 80 90 100 Heroes and Super Heroes 10 20 30 40 50 60 70 80 90 100

Which set of data has the largest median? Progress Check A B 10 20 30 40 50 60 70 80 90 Which set of data has the largest median? A C the same B

Instructions Shuffle the heroes and give everyone on your table 11 cards Draw 2 box and whisker plots for your team, 1 for their cunning and 1 for their power. Write in your books 3 differences between the two plots Now add 4 soldiers to your team and draw the new box plots, what has changed? Write the differences down in your book 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 A B 10 20 30 40 50 60 70 80 90 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