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January 31, 2023
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Prob 6-12 Statistics
Rivercereek Labs
Summary Statistics
Using Excel Data Analysis Tool – “Descriptive Statistic
s”
Note that the data must be put into
a unidimensional array in order t
o run the summary statistic
s
Summary Data in
Original Data
Ascending Order
1.5
2.3 3.7
3.6 4.7 3.4
3.3 2.7
3.6
1.9 1.7
1.7
Column1
5.0 4.5
3.7 4.1 2.7
4.1 2.5
4.2
3.5 3.1
1.7
3.4 3.7
2.3 4.0 2.9
3.9 4.8
1.5
3.1 4.3
1.8
Mean
3.528
4.4 3.2 4.1 2.7 5.1
3.8 3.1
4.4
3.9 4.1
1.8
Standard Error
0.084
1.7 2.5
3.4 4.2 1.8
4.3 3.9
4.5
2.4 4.4
1.9
Median
3.600
3.5 3.6 4.1 3.6 4.4
3.8 3.7
3.3
2.6 4.7
1.9
Mode
4.100
3.0 3.4 3.0 4.6 4.8
2.6 3.6
2.9
2.8 3.7
2.6
2.7
2.7
2.7
2.8
2.9
2.9
Column1
2.9
3.0
Mean
3.528
3.0
Standard Error
0.084
3.1
Median 3.600
3.1
Mode 4.100
3.1
Standard Deviation
0.841
3.2
Sample Variance
0.707
3.3
Kurtosis -0.191
3.3
Skewness -0.31
4
3.3
Minimum 1.500
3.3
Maximum 5.400
3.3
Sum 352.8
00
3.4
3.4
3.4
3.4
3.5
3.5
3.5
3.5
3.5
3.6
3.6
3.6
3.6
3.6
3.6
3.6
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.8
3.8
3.8
3.8
3.9
3.9
3.9
Page 1
2.3
Standard Deviation
0.841
4.1 3.8
3.6 5.1 4.0
3.5 3.3
3.7
4.4 1.8
2.3
Sample Variance
0.707
2.9 4.7
2.4 3.3 3.3
2.6 4.1
1.9
3.6 3.7
2.4
Kurtosis
-0.191
3.7 3.7 3.8 3.3 5.4
2.6 3.3
3.5
3.5 4.4
2.4
Skewness -0.31
4
2.5
Range 3.9
00
2.5
Minimum 1.500
2.6
Maximum 5.400
2.6
Sum 352.8
00
Prob 6-12 Statistics
4.0
4.0
4.1
4.1
4.1
4.1
4.1
4.1
4.1
4.2
4.2
4.3
4.3
4.4
4.4
4.4
4.4
4.4
4.4
4.5
4.5
4.6
4.7
4.7
4.7
4.8
4.8
5.0
5.1
5.1
5.4
Page 2
Prob 6-12 Hi
stogram
Problem 6-12
Histogram Using Excel Data Analy
sis Tool – “Histogram”
Input Bin
Bin
Frequency
Data Here
1.9
5
1.9 2.2
2
2.2 2.5
6
2.5 2.8
8
2.8 3.1
8
3.1 3.4
12
3.4 3.7
21
3.7
4
9
1.5
2.3 3.7 3.6 4.7 3.4 3.3 2.7 3.6 1.9 1.7
1.7
5.0 4.5 3.7 4.1 2.7 4.1 2.5 4.2 3.5 3.1
1.7
3.4 3.7 2.3 4.0 2.9 3.9 4.8 1.5 3.1 4.3
1.8
4.4 3.2 4.1 2.7 5.1 3.8 3.1 4.4 3.9 4.1
1.8
1.7 2.5 3.4 4.2 1.8 4.3 3.9 4.5 2.4 4.4
3.5 3.6 4.1 3.6 4.4 3.8 3.7 3.3 2.6 4.7
3.0 3.4 3.0 4.6 4.8 2.6 3.6 2.9 2.8 3.7
2.9 4.7 2.4 3.3 3.3 2.6 4.1 1.9 3.6 3.7
3.7 3.7 3.8 3.3 5.4 2.6 3.3 3.5 3.5 4.4
2.6
2.6
2.6
2.6
2.7
2.7
2.7
2.8
2.9
2.9
2.9
3.0
3.0
3.1
3.1
3.1
3.2
3.3
3.3
3.3
3.3
10
15
20
25
Frequenc
y
Histogr
am
Frequency
Page 3
Prob 6-12 Hi
stogram
3.3
3.3
3.3
3.4
3.4
3.4
3.4
3.5
3.5
3.5
3.5
3.5
3.6
3.6
3.6
3.6
3.6
3.6
3.6
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.7
3.8
3.8
3.8
3.8
3.9
3.9
3.9
4.0
4.0
4.1
4.1
4.1
4.1
4.1
4.1
4.1
4.2
4.2
4.3
4.3
4.4
4.4
4.4
4.4
4.4
4.4
4.5
4.5
Page 4
Prob 6-12 Hi
stogram
4.6
4.7
4.7
4.7
4.8
4.8
5.0
5.1
5.1
5.4
Page 5