what is statistics? “statistics is the study of the collection, organization, analysis, and...
TRANSCRIPT
What is statistics?“Statistics is the study of the collection, organization,
analysis, and interpretation of data.”
How tall are students in this class?
How can we answer this question?
What data would you need to collect?
58" 60" 62" 64" 66" 68" 70" 72" 74" 76" 78" 80"0
1
2
3
4
5
6
7
8
Height (inches)
Fre
qu
en
cy
How tall are students in this class?
MEAN:Mean = 69.30
58" 60" 62" 64" 66" 68" 70" 72" 74" 76" 78" 80"0
1
2
3
4
5
6
7
8
Height (inches)
Fre
qu
en
cy
How tall are students in this class?S = 4.84
STANDARD DEVIATION:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 150
2
4
6
8
10
12
Data Set 1
Data Set 1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 190
1
2
3
4
5
6
7
8
Data Set 2
Data Set 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 190
2
4
6
8
10
12
Data Set 2Data Set 1
Mean = 8.88Std Dev = 1.90
Mean = 9.02Std Dev = 3.77
How tall are students in Michigan?
How can we answer this question?
Would you need a different sample compared to our
previous question?
58" 60" 62" 64" 66" 68" 70" 72" 74" 76" 78" 80"0
1
2
3
4
5
6
7
8
Height (inches)
Fre
qu
en
cy
How tall are students in Michigan?
STANDARD ERROR:
SE = 0.80
Are students in Michigan taller than students in Ohio?
MI - high SE OH - high SE MI - low SE OH - low SE60
61
62
63
64
65
66
67
68
69
70
Mean and Standard Errors
He
igh
t (i
nc
he
s)
SQUARED!
Half the class gets bean type 1, half the class bean type 2
Do the two types of beans have different lengths?
MEAN:
STANDARD DEVIATION:
STANDARD ERROR: