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?
How tall are students in this class?
8
Mean = 69.30
MEAN:
7
Frequency
6
5
4
3
2
1
0
58"
60"
62"
64"
66"
68"
70"
72"
Height (inches)
74"
76"
78"
80"
How tall are students in this class?
S = 4.84
8
STANDARD
DEVIATION:
7
Frequency
6
5
4
3
2
1
0
58"
60"
62"
64"
66"
68"
70"
72"
Height (inches)
74"
76"
78"
80"
Data Set 1
Data Set 2
12
8
7
10
6
8
5
6
Data Set 1
4
Data Set 2
3
4
2
2
1
0
0
1
2
3
4
5
6
Mean = 8.88
Std Dev = 1.90
7
8
9 10 11 12 13 14 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Mean = 9.02
Std Dev = 3.77
12
10
8
Data Set 2
6
Data Set 1
4
2
0
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18 19
How tall are students in Michigan?
How can we answer
this question?
Would you need a
different sample
compared to our
previous question?
How tall are students in Michigan?
SE = 0.80
8
STANDARD
ERROR:
7
Frequency
6
5
4
3
2
1
0
58"
60"
62"
64"
66"
68"
70"
72"
Height (inches)
74"
76"
78"
80"
Are students in Michigan taller than
students in Ohio?
72
Height (inches)
70
68
66
64
62
60
MI - high SE
OH - high SE
MI - low SE
Mean and Standard Errors
OH - low SE
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: