
Box and Whisker Plots
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Siew Koh
Used 168+ times
FREE Resource
8 Slides • 9 Questions
1
Box and Whisker Plots
by Siew Leh Koh
2
Multiple Choice
Which of the films do you think you would not be allowed to legally watch at the cinema?
Film A
Film B
Film C
Cannot tell
3
Multiple Choice
How can we tell that the film you would not be allowed to see is film C?
The minimum value
The lower quartile
The upper quartile
The maximum value
4
Multiple Choice
Which of the films do you think you would enjoy the most?
Film A
Film B
Film C
Cannot tell
5
Multiple Choice
What percentage of film B’s audience were between 15 and 30 (the box)?
25%
50%
75%
Cannot tell
6
Multiple Choice
What film would your parents probably enjoy most?
Film A
Film B
Film C
Cannot tell
7
Multiple Choice
Which of the following are reasons for why your parents would probably prefer film A?
Only 25% of the audience was less than 34
The range is bigger
It has the greatest maximum age
The median is greater
8
Now we have analyzed these box and whisker plots
Can you guess what genre of film each box plot might represent?
Can you work out the target audience of each film?
Justify your decision using mathematical language
9
Multiple Choice
In which river are the lengths of the fish more variable?
River B as the lower quartile is bigger
River B because it has the minimum length
River A because the upper quartile is bigger
River A because the IQR is bigger
10
Multiple Choice
In which river are the lengths of the fish on average longer?
River B as the median is bigger
River B because the lower quartile is bigger
River A because the upper quartile is bigger
River A because the maximum value is bigger
11
Interpreting the box and whisker plots
•Easily see lightest / heaviest and range
•The ‘box’ contains the middle 50% of people (the most ‘representative half’)
•The ‘whiskers’ show the lightest 25% and heaviest 25% of people (extremes)
12
Multiple Select
Which of these comparisons are correct?
Boys weigh more than girls on average
The lightest girl is lighter than the lightest boy
The heaviest boy is the same weight as the heaviest girl
Girls weight is less consistent than boys
13
Comparing Groups 1
“Lightest girl lighter than lightest boy”
“Heaviest boy heavier than heaviest girl”
“Most representative half of girls generally lighter than most representative half of boys”
14
Comparing Groups 2
“Lightest girl same as lightest boy”
“Heaviest boy same as heaviest girl”
“All of the most representative half of girls lighter than most representative half of boys”
“Three quarters of girls lighter than three quarter of boys”
15
Some Terminology
Symmetrical Distribution
16
Some Terminology
Positive skew: median closer to LQ than UQ
17
Some Terminology
Negative skew: median closer to UQ than LQ
Box and Whisker Plots
by Siew Leh Koh
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