52 8 650516
Step 1: Place the cards in order
from least to greatest
012555668
Step 2: Find the median
1X
0X
2X
5 5X
5X
6X
6X
8
X
Step 2: Find the median
5
012555668
Step 3: Remove the median(s)
from the data set.
0 1 2X
5X
5668
5X
Step 3: Remove the median(s)
from the data set.
0 1 2X
5X
5668
5X
Step 4: Place the cards with
numbers less than the median in
one group and the cards with
numbers greater than the median
in a second group.
Step 4: Place the cards with
numbers less than the median in
one group and the cards with
numbers greater than the median
in a second group.
Group 1
Group 2
012
668
Step 5: Find the median of the
cards in Group 1. This number is
called the lower quartile
Group 1
Group 2
012
668
Step 5: Find the median of the
cards in Group 1. This number is
called the lower quartile
Group 1
Group 2
0 1X
2
X
668
Lower Quartile
Step 6: Find the median of the
cards in Group 2. This number is
called the upper quartile
Group 1
Group 2
012
668
Step 6: Find the median of the
cards in Group 2. This number is
called the upper quartile
Group 1
Group 2
012
6 6X
8
X
Upper Quartile
012555668
Min
Q1
Median
Max
Q3
Step 7: Plot the information to
create a Box-and-Whisker Plot
-1
0
1
2
3
4
5
6
7
8
9
Inner Quartile Range
(IQR)
Q3 - Q1
*Remember that the Range
is the distance from
the Max to the Min
*The Inner Quartile Range
is the distance from
the Q3 (Upper) to the Q1 (Lower)
012555668
Min
Q1
Median
Step 8: Find the IQR
Q1
-1
0
1
Q3
Q3 - Q1 = IRQ
6-1=5
2
3
4
Max
Q3
5
6
7
8
9
2 8 640516
Step 1: Place the cards in order
from least to greatest
01245668
Step 2: Find the median
1X
0X
2 4 5X
6X
6X
8
X
Step 2: Find the median
4.5
01245668
Step 3: Remove the median(s)
from the data set. However, this
time the median does not "match"
any of the data set.
01245668
Step 4: Place the cards with
numbers less than the median in
one group and the cards with
numbers greater than the median
in a second group.
Step 4: Place the cards with
numbers less than the median in
one group and the cards with
numbers greater than the median
in a second group.
Group 1
Group 2
Median
0124
4.5
5668
Step 5: Find the median of the
cards in Group 1. This number is
called the lower quartile
Group 1
Group 2
0124
5668
Step 5: Find the median of the
cards in Group 1. This number is
called the lower quartile
Group 1
Group 2
0 1 2X
4
X
1.5
Lower Quartile
5668
Step 6: Find the median of the
cards in Group 2. This number is
called the upper quartile
Group 1
Group 2
0124
5668
Step 6: Find the median of the
cards in Group 2. This number is
called the upper quartile
Group 1
Group 2
0124
5 6 6X
8
X
6
Upper Quartile
01245668
Min
Q1 (1.5)
Median (4.5)
Q3
Max
Step 7: Plot the information to
create a Box-and-Whisker Plot
-1
0
1
2
3
4
5
6
7
8
9
01245668
Min
Q1 (1.5)
Median (4.5)
Q3
Max
Step 8: Find the IQR
Q1
-1
0
1
Q3
Q3 - Q1 = IRQ
6 - 1.5 = 4.5
2
3
4
5
6
7
8
9