Transcript Find the 5# Summary and IQR of the following data sets.

Warm Up
Find the 5# Summary and IQR of the
following data sets.
1. {37, 44, 5, 8, 20, 11, 14}
2. {10, 1, 3, 4, 30, 4, 20, 22, 10, 25}
EQ: What is a Box Plot?
Agenda:
• Notes on Box Plots
• Group Work
• In-Class NBA activity
• Homework assignment
Box Plots
A box plot is a graphical display of the 5#
Summary. Box plots are good at
summarizing large amounts of data.
A box plot is sometimes referred to as a
Box-And-Whisker Plot.
Box Plots
A box plot displays the range and
distribution of the 5# summary’s data
along a number line.
This number line MUST be an interval
scale. This means that the numbers on the
scale are uniform.
Box Plot Scales
For Instance,
0
5
10
15
20
25
30
35
40
0
10
13
19
30
32
33
34
36
How to draw a box plot
A box plot is drawn from a 5# Summary.
Begin by finding the 5# Summary and IQR
of the following data set.
3
7
12
5
0
10
3
14
12
1
10
15
10 8
6 7
2 7
6
4
0
9
2
3
15
How to draw a box plot
Then draw a scale to represent the
data found.
Range: ________
0
2
4
6
8
10
12
14
16
18
How to draw a box plot
Draw short, vertical lines above Q1, M,
and Q3. Form the “box.”
How to draw a box plot
Put a dot above the lowest and highest
data point.
Draw the “whiskers” from these points
to the box.
Example #2
Find the 5# Summary, the IQR and
draw a boxplot of the following data
set.
0
5
25
72
0
5
25
92
0
7
26
98
1 1 3 3
8 8 9 14
29 42 44 52
118
Steps
Find 5# and IQR
Determine and Draw Scale
Vertical Lines above Q1, M, and Q3
Draw Box
Mathematically Identify any Outliers!!!
How to Find Outliers
Any data point that is more than 1.5
times the IQR above Q3, or below Q1 is
considered an outlier.
On the scale put a single dot above any
outlier.
Summary
Find 5# and IQR
Determine and Draw Scale
Vertical Lines above Q1, M, and Q3
Draw Box
Determine and Mark Outliers
Draw Whiskers
Describing a Box Plot
The distance between the points in the box
plot tells you about the distribution of the
data in the quartiles.
A shorter distance means:
A longer distance means:
Box Plots of the Warm Up
Go back to your Warm Up.
Find the 5#, IQR, Determine outliers,
and draw a Box Plot. Describe the
distribution of data points in the
quartiles.
Warm Up #1
0
5
10
15
20
25
30
35
0
10
20
30
40
50
40
45
Warm Up #2
0
5
10
15
0
10
20
20
25
30
30
35
Ticket Out The Door
1. Get out a clean sheet of lined paper.
2. Put your name at the top.
3. Flip over your data slip.
4.
Answer every question fully.
5. I will be grading these.
Homework
Worksheet #9 Box Plots
Due Monday!