Transcript Presentation1

Tacia
Topic Introduction
The topic that I chose to study
dealt with Scrabble Cheez-Its. I
wanted to know if the letters of
the Cheeze-Its in the box were
the same as those in the game. I
thought that of the 304 data
points I collected I would have
more vowels than any other
letters.
Data
Letter
Frequency
A
23
N
11
B
12
O
27
C
25
P
7
D
5
Q
3
E
38
R
18
F
0
S
19
G
16
T
19
H
3
U
11
I
20
V
5
J
4
W
7
K
4
X
1
L
12
Y
7
M
3
Z
4
Total
304
Actual Scrabble Pieces
While conducting this experiment I was curious if the pieces is the Cheez-It
box were the same as in the actual game. To test this I found the pieces on
line and created a one to one graph, below are my results. My r value was
.845. This means that the amount of some letters were the same in both the
Cheez-It box and in the game, but not many.
y = 0.7595x + 2.5874
R2 = 0.6797
40
35
30
25
20
15
10
5
0
0
5
10
15
20
25
30
35
40
Histogram
Scrabble Cheez Its
40
35
Number of Each
30
25
20
15
10
5
0
a
b
c
d
e
f
g
h
i
j
k
l
m
n
Letter
o
p
q
r
s
t
u
v
w
x
y
z
Stem and Leaf
0 01333444
0 55777
1 1122
1 68999
23
2 57
3
38
Dot Plot
Scrabble Cheez-Its
40
e
35
30
o
Amount of Each
25
c
a
20
i
s
t
r
g
15
b
l
n
u
10
p
5
d
j
h
w
y
v
k
m
z
q
x
0
f
Letter
Pie Graph
Scrabble Cheez-Its
v
y
x
w
2%
0% 2%
z
a
1%
8%
b
u 2%
4%
4%
t
c
6%
8%
d
s
2%
6%
r
e
6%
13%
q
1%
f
p
0%
2%
g
o
9%
h
n
4%
m
1%
i
l
4%
k
j
1% 1%
7%
1%
5%
Box Plot
Number of Each
40
30
20
10
0
Measures of Center
Mean 11.69
Median 9
Mode E
Measures of Dispersion
Range 38
Standard Deviation 9.52
Outliers
Fences
-18.5 and 41.5
The minimum data point was 4 and the maximum
was 38 so there were no outliers within the
collected data.
Chebychev Graph and Z Scores
All of the Z scores were within three standard
deviations of the mean
-16.8
-7.2
-2.2
11.7
Mean
21.2
30.7
40.2
Summary
The data that I collected was only a partial partial
representation. The theoretical and actual values
did not always match. After conducting this
experiment I found that while playing a game of
scrabble the letter most likely to be chosen in E,
R and T which is not the same in a box of
Cheez-Its.