Exploring
M ean,
M edian,
M ode,
a nd
R ange
w ith
L EGOS
Mean,
m edian,
a nd
m ode
a re
t hree
d ifferent
w ays
t o
d escribe
t he
a verage
o f
a
s et
o f
numeric
d ata.
T hey
a re
s tatistical
w ays
t o
d escribe
t he
“ centrality”
o f
t he
d ata
s et.
Lego
T erminology
T ip:
A
r ound
p eg
o n
t op
o f
a
L ego
i s
c alled
a
“ stud.”
W e
c an
n ame
L ego
bricks
b y
t heir
s tud
d imensions.
Warm
u p:
This
p iece
h as
_ _____
s tuds.
I t
i s
a
_ __
b y
_ __
b rick.
☞
T ake
a
b ag
o f
L ego
b ricks.
Sort
t he
b ricks
b y
t he
n umber
o f
s tuds
a nd
f ill
i n
t he
t able
b elow.
#
o f
1
2
3
4
6
8
10
12
14
16
Studs
#
o f
Pieces
Which
n umber
o f
s tudded
p ieces
d o
y ou
h ave
t he
m ost
o f
i n
y our
b ag?
_ ____________
This
i s
t he
m ode
f or
y our
L ego
d ata.
T he
m ode
i s
t he
v alue
t hat
a ppears
t he
m ost
f requently.
☞
F ind
t he
p iece
i n
y our
b ag
t hat
h as
t he
m ost
s tuds.
How
m any
s tuds
d oes
t his
p iece
h ave?
_ ______
This
i s
t he
m aximum.
T he
m aximum
i s
t he
g reatest
n umber
i n
a
s et
o f
d ata.
☞
F ind
t he
p iece
i n
y our
b ag
t hat
h as
t he
f ewest
s tuds.
How
m any
s tuds
d oes
t his
p iece
h ave?
_ ______
This
i s
t he
m inimum.
T he
m inimum
i s
t he
s mallest
n umber
i n
a
s et
o f
d ata.
What
i s
t he
d ifference
b etween
t he
m aximum
a nd
t he
m inimum?
______
–
_ _____
=
_ ______
Maximum
–
M inimum
=
R ange
The
d ifference
b etween
t he
b iggest
a nd
t he
s mallest
n umbers
i n
y our
d ata
s et
i s
c alled
t he
range.
Y ou
s ubtract
t he
m inimum
f rom
t he
m aximum
o f
y our
d ata
s et.
Created
f or
c lassroom
u se
b y
A lycia
Z immerman,
2 012