chapter 2 第二章 presenting data in tables and charts 統計圖及表的應用
DESCRIPTION
敘述統計方法 : 資料描述. Chapter 2 第二章 Presenting Data in Tables and Charts 統計圖及表的應用. 學習目標. 1. 繪製及應用統計圖及表 2. 各種繪製類別資料的統計圖 3. 各種繪製數值資料的統計圖 4. 敘述統計方法描述與真實資料的曲解. X. Y. Us. 30%. 32%. 34%. 36%. 動動腦想一想. 我們公司的市場銷售比其他公司強很多. 此圖形是否有問題 ?. 正確的統計圖呈列. 資料的描述 Describing Data. - PowerPoint PPT PresentationTRANSCRIPT
Chap. 2: Methods for Describing Sets of Data
:
2 - *
2 - *
?
30%
32%
34%
36%
Us
Y
X
Problem - no zero point. Maybe, a pie chart would be better.
2 - *
Chart1
Us
Y
X
0.35
0.32
0.33
Sheet1
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
8:30
1:30
8:30
1:30
1""7""
1""14""
1""8""
1""15""
1""9""
1""16""
1""10""
1""17""
1""11""
1""18""
Sheet2
52
53
55
56
56
56
59
62
63
64
64
64
64
64
64
66
66
66
min
52
66
Q1
66
67
mean
72.6060606061
67
median
73
68
mode
64
68
Q3
79.75
69
max
94
69
s
9.5464512744
69
range
42
71
IQR
13.75
71
midrange
73
71
midquartile
72.875
72
72
72
73
73
74
74
75
75
75
75
76
77
77
77
77
77
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Sheet3
Us
Y
X
35%
32%
33%
Sheet3
50
60
70
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90
100
1
0.00
0.01
0.02
0.03
0.04
MBD000AC5B8.unknown
2 - *
2 - *
Acct.
130
130
65%
Econ.
20
150
10%
Mgmt.
50
200
25%
200
100%
2 - *
Equal bar widths
Zero point
Zero point
Zero point
Equal bar widths
Equal bar widths
2 - *
Investment Category Amount Percentage
(in thousands $)
Chart4
Stocks
Bonds
CD
Savings
Percentages are rounded to the nearest percent.
Amount Invested in K$
2 - *
Axis for bar chart shows % invested in each category
Pareto
Stocks
Stocks
Bonds
Bonds
Savings
Savings
CD
CD
0.42
0.42
0.29
0.71
0.15
0.86
0.14
1
2 - *
Chart6
4422
2874
4459
2814
Sheet1
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
8:30
1:30
8:30
1:30
1""7""
1""14""
1""8""
1""15""
1""9""
1""16""
1""10""
1""17""
1""11""
1""18""
Sheet2
52
53
55
56
56
56
59
62
63
64
64
64
64
64
64
66
66
66
min
52
66
Q1
66
67
mean
72.6060606061
67
median
73
68
mode
64
68
Q3
79.75
69
max
94
69
s
9.5464512744
69
range
42
71
IQR
13.75
71
midrange
73
71
midquartile
72.875
72
72
72
73
73
74
74
75
75
75
75
76
77
77
77
77
77
78
78
79
80
80
82
82
82
82
83
83
84
85
86
86
86
86
87
88
94
Sheet3
4422
4459
8881
2874
2814
5688
7296
7273
14569
Sheet3
50
60
70
80
90
100
1
0.00
0.01
0.02
0.03
0.04
MBD000AC5B8.unknown
2 - *
Stocks 46.5 55 27.5 129
Bonds 32 44 19 95
CD 15.5 20 13.5 49
Savings 16 28 7 51
Total 110 147 67 324
2 - *
Chart3
Stocks
Stocks
Stocks
Stocks
Bonds
Bonds
Bonds
Bonds
CD
CD
CD
CD
Savings
Savings
Savings
Savings
Dot Plot
1. ,
2.
3. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
3. Data: 21, 24, 24, 26, 27, 27, 30, 32
20
25
30
35
40
45
2 - *
2.
3. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38
20
25
30
35
40
45
2 - *
Dot Plot
1. ,
2.
3. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
20
25
30
35
40
45
2 - *
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
2
144677
3
028
4
1
2 - *
2
14
3
4
2
144
3
4
2
144
3
4
2
1446
3
4
2
1446
3
4
2
14467
3
4
2
14467
3
4
2
144677
3
4
2
144677
3
4
2
144677
3
0
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32
2
144677
3
0
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32
2
144677
3
02
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38
2
144677
3
02
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38
2
144677
3
028
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
2
144677
3
028
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
2
144677
3
028
4
1
2 - *
9
6
24
7
0 1 1 1 1 1 4 4 5 6 7 8 8 8 9
(17)
8
0 0 1 2 2 3 4 4 4 4 6 7 8 9 9 9 9
9
9
2 - *
3. (Width)
2. 3(classes) (k3), 5 k 20
3. (Width):20/3=6.6, 10
4. (Limits)
5. (Midpoints)
6.
: 24, 26, 24, 21, 27, 27, 30, 41, 32, 38
2 - *
Frequency Distribution Table
: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
Class
Frequency
2
The number of classes is usually between 5 and 15. Only 3 are used here for illustration purposes.
2 - *
Frequency Distribution Table
: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
Boundaries
20.0
The number of classes is usually between 5 and 15. Only 3 are used here for illustration purposes.
2 - *
Raw Data: 24, 26, 24, 21, 27, 27, 30, 41, 32, 38
30% + 50%
80% + 20%
100
The number of classes is usually between 5 and 15. Only 3 are used here for illustration purposes.
2 - *
2 - *
Histogram
0
1
2
3
4
5
Lower Boundary
Bars Touch
Total 20 1 100
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
2 - *
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
No Gaps Between Bars
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
Chart3
5
15
25
36
45
55
More
Frequency
0
3
6
5
4
2
0
Sheet4
Bin
Frequency
10
5
20
0
30
0
40
0
50
0
More
0
Sheet5
Bin
Frequency
10
0
20
3
30
7
40
4
50
4
60
2
More
0
Sheet5
Frequency
Bin
Frequency
Histogram
Sheet6
Bin
Frequency
Cumulative %
Bin
Frequency
Cumulative %
5
0
.00%
35
6
30.00%
15
2
10.00%
45
5
55.00%
25
4
30.00%
25
4
75.00%
35
6
60.00%
15
2
85.00%
45
5
85.00%
55
2
95.00%
55
2
95.00%
65
1
100.00%
65
1
100.00%
5
0
100.00%
More
0
100.00%
More
0
100.00%
Sheet6
Frequency
Cumulative %
Bin
Frequency
Histogram
Sheet7
Bin
Frequency
5
0
15
3
25
6
36
5
45
4
55
2
More
0
Sheet7
Frequency
Frequency
Histogram
Sheet8
Frequency
Sheet9
Bin
Frequency
0
0
10
2
20
4
30
6
40
5
50
2
60
1
More
0
Sheet9
Frequency
Frequency
Histogram
Sheet10
Bin
Frequency
0
0
10
3
20
7
30
4
40
4
50
2
More
0
Sheet10
Frequency
Bin
Frequency
Histogram
Sheet11
Sheet12
Bin
Frequency
9.9
3
19.9
6
20.9
1
30.9
4
40.9
4
50.9
2
More
0
Sheet12
Frequency
Bin
Frequency
Histogram
Sheet2
Bin
Frequency
9.9
3
19.9
6
29.9
5
39.9
4
49.9
2
59.9
0
More
0
Sheet2
Frequency
Frequency
Histogram
Sheet3
2
9.9
3
19.9
7
29.9
11
39.9
12
49.9
14
59.9
16
17
17
20
21
25
27
28
31
33
34
36
43
48
10
3
20
6
30
5
40
4
50
2
2 - *
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
2 - *
-Ogive
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
Chart1
10
20
30
40
50
60
Frequency
Ogive
0
15
45
70
90
100
Sheet4
Bin
Frequency
10
5
20
0
30
0
40
0
50
0
More
0
Sheet5
Bin
Frequency
10
0
20
3
30
7
40
4
50
4
60
2
More
0
Sheet5
10
20
30
40
50
60
More
Frequency
Bin
Frequency
Histogram
0
3
7
4
4
2
0
Sheet6
Bin
Frequency
Cumulative %
Bin
Frequency
Cumulative %
5
0
.00%
35
6
30.00%
15
2
10.00%
45
5
55.00%
25
4
30.00%
25
4
75.00%
35
6
60.00%
15
2
85.00%
45
5
85.00%
55
2
95.00%
55
2
95.00%
65
1
100.00%
65
1
100.00%
5
0
100.00%
More
0
100.00%
More
0
100.00%
Sheet6
35
35
45
45
25
25
15
15
55
55
65
65
5
5
More
More
Frequency
Cumulative %
Bin
Frequency
Histogram
6
0.3
5
0.55
4
0.75
2
0.85
2
0.95
1
1
0
1
0
1
Sheet7
Bin
Frequency
10
0
20
15
30
45
40
70
50
90
60
100
Sheet7
0
0
0
0
0
0
0
Frequency
0
0
0
0
0
0
0
Sheet8
0
0
0
0
0
0
0
Frequency
Ogive
0
0
0
0
0
0
0
Sheet9
Bin
Frequency
0
0
10
2
20
4
30
6
40
5
50
2
60
1
More
0
Sheet9
0
10
20
30
40
50
60
More
Frequency
Frequency
Histogram
0
2
4
6
5
2
1
0
Sheet10
Bin
Frequency
0
0
10
3
20
7
30
4
40
4
50
2
More
0
Sheet10
0
10
20
30
40
50
More
Frequency
Bin
Frequency
Histogram
0
3
7
4
4
2
0
Sheet11
Sheet12
Bin
Frequency
9.9
3
19.9
6
20.9
1
30.9
4
40.9
4
50.9
2
More
0
Sheet12
9.9
19.9
20.9
30.9
40.9
50.9
More
Frequency
Bin
Frequency
Histogram
3
6
1
4
4
2
0
Sheet2
Bin
Frequency
9.9
3
19.9
6
29.9
5
39.9
4
49.9
2
59.9
0
More
0
Sheet2
9.9
19.9
29.9
39.9
49.9
59.9
More
Frequency
Frequency
Histogram
3
6
5
4
2
0
0
Sheet3
2
9.9
3
19.9
7
29.9
11
39.9
12
49.9
14
59.9
16
17
17
20
21
25
27
28
31
33
34
36
43
48
10
3
20
6
30
5
40
4
50
2
2 - *
2 - *
70 78 94 80 96 92 71 75 84 74
84 66 71 82 78 77 91 76 67 68
89 92 90 89 83 66 71 96 67 84
89 94 74 63 63 86 81 71 71 68
63 91 89 78 88 84 80 82 87 79
9
6
24
7
0 1 1 1 1 1 4 4 5 6 7 8 8 8 9
(17)
8
0 0 1 2 2 3 4 4 4 4 6 7 8 9 9 9 9
9
9
2 - *
()
63 63 63 66 66 67 67 68 68 70
71 71 71 71 71 74 74 75 76 77
78 78 78 79 80 80 81 82 82 83
84 84 84 84 86 87 88 89 89 89
89 90 91 91 92 92 94 94 96 96
96 63 33
2 - *
2. 5(classes) (k5), 5 k 20
3. (Width):33/5=6.6, 7
4. (Limits)
5. (Midpoints)
100
80
60
40
20
Chart5
0.2
0.4
0.68
0.88
1
63
70
77
84
91
98
Sheet1
1
70
0.2
2
77
0.4
3
84
0.68
4
91
0.88
5
98
1
Sheet1
63
70
77
84
91
98
Sheet2
Sheet3
2 - *
Chart6
0
10
10
14
10
6
0
59.5
66.5
73.5
80.5
87.5
94.5
101.5
Sheet1
1
0
2
10
3
10
4
14
5
10
6
6
7
0
Sheet1
0
0
0
0
0
0
0
&A
2 - *
Chart2
1
2
3
4
5
6
7
8
9
10
Y
0
2
3
5
8
9
9
10
7
11
Sheet1
()
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
2 - *
()
2 - *
?
30%
32%
34%
36%
Us
Y
X
Problem - no zero point. Maybe, a pie chart would be better.
2 - *
Chart1
Us
Y
X
0.35
0.32
0.33
Sheet1
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
8:30
1:30
8:30
1:30
1""7""
1""14""
1""8""
1""15""
1""9""
1""16""
1""10""
1""17""
1""11""
1""18""
Sheet2
52
53
55
56
56
56
59
62
63
64
64
64
64
64
64
66
66
66
min
52
66
Q1
66
67
mean
72.6060606061
67
median
73
68
mode
64
68
Q3
79.75
69
max
94
69
s
9.5464512744
69
range
42
71
IQR
13.75
71
midrange
73
71
midquartile
72.875
72
72
72
73
73
74
74
75
75
75
75
76
77
77
77
77
77
78
78
79
80
80
82
82
82
82
83
83
84
85
86
86
86
86
87
88
94
Sheet3
Us
Y
X
35%
32%
33%
Sheet3
50
60
70
80
90
100
1
0.00
0.01
0.02
0.03
0.04
MBD000AC5B8.unknown
2 - *
:
70
As a result of this class, you will be able to...
Graphical
Methods
Pie
Chart
Quantitative
Data
Data
Bar
Graph
Qualitative
Data
Graphical
Methods
Numerical
Methods
Summary
Table
Numerical
Methods
Stem-
&-Leaf
Dot
Plot
Histo-
gram
Many
Graphical
Methods
Pie
Chart
Quantitative
Data
Data
Bar
Graph
Qualitative
Data
Graphical
Methods
Numerical
Methods
Summary
Table
Numerical
Methods
Stem-
&-Leaf
Dot
Plot
Histo-
gram
Many
Class
Frequency
:
2 - *
2 - *
?
30%
32%
34%
36%
Us
Y
X
Problem - no zero point. Maybe, a pie chart would be better.
2 - *
Chart1
Us
Y
X
0.35
0.32
0.33
Sheet1
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
8:30
1:30
8:30
1:30
1""7""
1""14""
1""8""
1""15""
1""9""
1""16""
1""10""
1""17""
1""11""
1""18""
Sheet2
52
53
55
56
56
56
59
62
63
64
64
64
64
64
64
66
66
66
min
52
66
Q1
66
67
mean
72.6060606061
67
median
73
68
mode
64
68
Q3
79.75
69
max
94
69
s
9.5464512744
69
range
42
71
IQR
13.75
71
midrange
73
71
midquartile
72.875
72
72
72
73
73
74
74
75
75
75
75
76
77
77
77
77
77
78
78
79
80
80
82
82
82
82
83
83
84
85
86
86
86
86
87
88
94
Sheet3
Us
Y
X
35%
32%
33%
Sheet3
50
60
70
80
90
100
1
0.00
0.01
0.02
0.03
0.04
MBD000AC5B8.unknown
2 - *
2 - *
Acct.
130
130
65%
Econ.
20
150
10%
Mgmt.
50
200
25%
200
100%
2 - *
Equal bar widths
Zero point
Zero point
Zero point
Equal bar widths
Equal bar widths
2 - *
Investment Category Amount Percentage
(in thousands $)
Chart4
Stocks
Bonds
CD
Savings
Percentages are rounded to the nearest percent.
Amount Invested in K$
2 - *
Axis for bar chart shows % invested in each category
Pareto
Stocks
Stocks
Bonds
Bonds
Savings
Savings
CD
CD
0.42
0.42
0.29
0.71
0.15
0.86
0.14
1
2 - *
Chart6
4422
2874
4459
2814
Sheet1
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
8:30
1:30
8:30
1:30
1""7""
1""14""
1""8""
1""15""
1""9""
1""16""
1""10""
1""17""
1""11""
1""18""
Sheet2
52
53
55
56
56
56
59
62
63
64
64
64
64
64
64
66
66
66
min
52
66
Q1
66
67
mean
72.6060606061
67
median
73
68
mode
64
68
Q3
79.75
69
max
94
69
s
9.5464512744
69
range
42
71
IQR
13.75
71
midrange
73
71
midquartile
72.875
72
72
72
73
73
74
74
75
75
75
75
76
77
77
77
77
77
78
78
79
80
80
82
82
82
82
83
83
84
85
86
86
86
86
87
88
94
Sheet3
4422
4459
8881
2874
2814
5688
7296
7273
14569
Sheet3
50
60
70
80
90
100
1
0.00
0.01
0.02
0.03
0.04
MBD000AC5B8.unknown
2 - *
Stocks 46.5 55 27.5 129
Bonds 32 44 19 95
CD 15.5 20 13.5 49
Savings 16 28 7 51
Total 110 147 67 324
2 - *
Chart3
Stocks
Stocks
Stocks
Stocks
Bonds
Bonds
Bonds
Bonds
CD
CD
CD
CD
Savings
Savings
Savings
Savings
Dot Plot
1. ,
2.
3. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
20
25
30
35
40
45
2 - *
3. Data: 21, 24, 24, 26, 27, 27, 30, 32
20
25
30
35
40
45
2 - *
2.
3. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38
20
25
30
35
40
45
2 - *
Dot Plot
1. ,
2.
3. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
20
25
30
35
40
45
2 - *
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
2
144677
3
028
4
1
2 - *
2
14
3
4
2
144
3
4
2
144
3
4
2
1446
3
4
2
1446
3
4
2
14467
3
4
2
14467
3
4
2
144677
3
4
2
144677
3
4
2
144677
3
0
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32
2
144677
3
0
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32
2
144677
3
02
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38
2
144677
3
02
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38
2
144677
3
028
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
2
144677
3
028
4
2. Data: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
2
144677
3
028
4
1
2 - *
9
6
24
7
0 1 1 1 1 1 4 4 5 6 7 8 8 8 9
(17)
8
0 0 1 2 2 3 4 4 4 4 6 7 8 9 9 9 9
9
9
2 - *
3. (Width)
2. 3(classes) (k3), 5 k 20
3. (Width):20/3=6.6, 10
4. (Limits)
5. (Midpoints)
6.
: 24, 26, 24, 21, 27, 27, 30, 41, 32, 38
2 - *
Frequency Distribution Table
: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
Class
Frequency
2
The number of classes is usually between 5 and 15. Only 3 are used here for illustration purposes.
2 - *
Frequency Distribution Table
: 21, 24, 24, 26, 27, 27, 30, 32, 38, 41
Boundaries
20.0
The number of classes is usually between 5 and 15. Only 3 are used here for illustration purposes.
2 - *
Raw Data: 24, 26, 24, 21, 27, 27, 30, 41, 32, 38
30% + 50%
80% + 20%
100
The number of classes is usually between 5 and 15. Only 3 are used here for illustration purposes.
2 - *
2 - *
Histogram
0
1
2
3
4
5
Lower Boundary
Bars Touch
Total 20 1 100
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
2 - *
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
No Gaps Between Bars
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
Chart3
5
15
25
36
45
55
More
Frequency
0
3
6
5
4
2
0
Sheet4
Bin
Frequency
10
5
20
0
30
0
40
0
50
0
More
0
Sheet5
Bin
Frequency
10
0
20
3
30
7
40
4
50
4
60
2
More
0
Sheet5
Frequency
Bin
Frequency
Histogram
Sheet6
Bin
Frequency
Cumulative %
Bin
Frequency
Cumulative %
5
0
.00%
35
6
30.00%
15
2
10.00%
45
5
55.00%
25
4
30.00%
25
4
75.00%
35
6
60.00%
15
2
85.00%
45
5
85.00%
55
2
95.00%
55
2
95.00%
65
1
100.00%
65
1
100.00%
5
0
100.00%
More
0
100.00%
More
0
100.00%
Sheet6
Frequency
Cumulative %
Bin
Frequency
Histogram
Sheet7
Bin
Frequency
5
0
15
3
25
6
36
5
45
4
55
2
More
0
Sheet7
Frequency
Frequency
Histogram
Sheet8
Frequency
Sheet9
Bin
Frequency
0
0
10
2
20
4
30
6
40
5
50
2
60
1
More
0
Sheet9
Frequency
Frequency
Histogram
Sheet10
Bin
Frequency
0
0
10
3
20
7
30
4
40
4
50
2
More
0
Sheet10
Frequency
Bin
Frequency
Histogram
Sheet11
Sheet12
Bin
Frequency
9.9
3
19.9
6
20.9
1
30.9
4
40.9
4
50.9
2
More
0
Sheet12
Frequency
Bin
Frequency
Histogram
Sheet2
Bin
Frequency
9.9
3
19.9
6
29.9
5
39.9
4
49.9
2
59.9
0
More
0
Sheet2
Frequency
Frequency
Histogram
Sheet3
2
9.9
3
19.9
7
29.9
11
39.9
12
49.9
14
59.9
16
17
17
20
21
25
27
28
31
33
34
36
43
48
10
3
20
6
30
5
40
4
50
2
2 - *
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
2 - *
-Ogive
Data in ordered array:
12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58
Chart1
10
20
30
40
50
60
Frequency
Ogive
0
15
45
70
90
100
Sheet4
Bin
Frequency
10
5
20
0
30
0
40
0
50
0
More
0
Sheet5
Bin
Frequency
10
0
20
3
30
7
40
4
50
4
60
2
More
0
Sheet5
10
20
30
40
50
60
More
Frequency
Bin
Frequency
Histogram
0
3
7
4
4
2
0
Sheet6
Bin
Frequency
Cumulative %
Bin
Frequency
Cumulative %
5
0
.00%
35
6
30.00%
15
2
10.00%
45
5
55.00%
25
4
30.00%
25
4
75.00%
35
6
60.00%
15
2
85.00%
45
5
85.00%
55
2
95.00%
55
2
95.00%
65
1
100.00%
65
1
100.00%
5
0
100.00%
More
0
100.00%
More
0
100.00%
Sheet6
35
35
45
45
25
25
15
15
55
55
65
65
5
5
More
More
Frequency
Cumulative %
Bin
Frequency
Histogram
6
0.3
5
0.55
4
0.75
2
0.85
2
0.95
1
1
0
1
0
1
Sheet7
Bin
Frequency
10
0
20
15
30
45
40
70
50
90
60
100
Sheet7
0
0
0
0
0
0
0
Frequency
0
0
0
0
0
0
0
Sheet8
0
0
0
0
0
0
0
Frequency
Ogive
0
0
0
0
0
0
0
Sheet9
Bin
Frequency
0
0
10
2
20
4
30
6
40
5
50
2
60
1
More
0
Sheet9
0
10
20
30
40
50
60
More
Frequency
Frequency
Histogram
0
2
4
6
5
2
1
0
Sheet10
Bin
Frequency
0
0
10
3
20
7
30
4
40
4
50
2
More
0
Sheet10
0
10
20
30
40
50
More
Frequency
Bin
Frequency
Histogram
0
3
7
4
4
2
0
Sheet11
Sheet12
Bin
Frequency
9.9
3
19.9
6
20.9
1
30.9
4
40.9
4
50.9
2
More
0
Sheet12
9.9
19.9
20.9
30.9
40.9
50.9
More
Frequency
Bin
Frequency
Histogram
3
6
1
4
4
2
0
Sheet2
Bin
Frequency
9.9
3
19.9
6
29.9
5
39.9
4
49.9
2
59.9
0
More
0
Sheet2
9.9
19.9
29.9
39.9
49.9
59.9
More
Frequency
Frequency
Histogram
3
6
5
4
2
0
0
Sheet3
2
9.9
3
19.9
7
29.9
11
39.9
12
49.9
14
59.9
16
17
17
20
21
25
27
28
31
33
34
36
43
48
10
3
20
6
30
5
40
4
50
2
2 - *
2 - *
70 78 94 80 96 92 71 75 84 74
84 66 71 82 78 77 91 76 67 68
89 92 90 89 83 66 71 96 67 84
89 94 74 63 63 86 81 71 71 68
63 91 89 78 88 84 80 82 87 79
9
6
24
7
0 1 1 1 1 1 4 4 5 6 7 8 8 8 9
(17)
8
0 0 1 2 2 3 4 4 4 4 6 7 8 9 9 9 9
9
9
2 - *
()
63 63 63 66 66 67 67 68 68 70
71 71 71 71 71 74 74 75 76 77
78 78 78 79 80 80 81 82 82 83
84 84 84 84 86 87 88 89 89 89
89 90 91 91 92 92 94 94 96 96
96 63 33
2 - *
2. 5(classes) (k5), 5 k 20
3. (Width):33/5=6.6, 7
4. (Limits)
5. (Midpoints)
100
80
60
40
20
Chart5
0.2
0.4
0.68
0.88
1
63
70
77
84
91
98
Sheet1
1
70
0.2
2
77
0.4
3
84
0.68
4
91
0.88
5
98
1
Sheet1
63
70
77
84
91
98
Sheet2
Sheet3
2 - *
Chart6
0
10
10
14
10
6
0
59.5
66.5
73.5
80.5
87.5
94.5
101.5
Sheet1
1
0
2
10
3
10
4
14
5
10
6
6
7
0
Sheet1
0
0
0
0
0
0
0
&A
2 - *
Chart2
1
2
3
4
5
6
7
8
9
10
Y
0
2
3
5
8
9
9
10
7
11
Sheet1
()
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
2 - *
()
2 - *
?
30%
32%
34%
36%
Us
Y
X
Problem - no zero point. Maybe, a pie chart would be better.
2 - *
Chart1
Us
Y
X
0.35
0.32
0.33
Sheet1
8:30
1:30
8:30
1:30
11""26""
12""3""
11""27""
12""4""
11""28""
12""5""
11""29""
12""6""
11""30""
12""7""
8:30
1:30
8:30
1:30
12""10""
12""17""
12""11""
12""18""
12""12""
12""19""
12""13""
12""20""
12""14""
12""21""
8:30
1:30
8:30
1:30
12""24""
12""31""
12""25""
1""1""
12""26""
1""2""
12""27""
1""3""
12""28""
1""4""
8:30
1:30
8:30
1:30
1""7""
1""14""
1""8""
1""15""
1""9""
1""16""
1""10""
1""17""
1""11""
1""18""
Sheet2
52
53
55
56
56
56
59
62
63
64
64
64
64
64
64
66
66
66
min
52
66
Q1
66
67
mean
72.6060606061
67
median
73
68
mode
64
68
Q3
79.75
69
max
94
69
s
9.5464512744
69
range
42
71
IQR
13.75
71
midrange
73
71
midquartile
72.875
72
72
72
73
73
74
74
75
75
75
75
76
77
77
77
77
77
78
78
79
80
80
82
82
82
82
83
83
84
85
86
86
86
86
87
88
94
Sheet3
Us
Y
X
35%
32%
33%
Sheet3
50
60
70
80
90
100
1
0.00
0.01
0.02
0.03
0.04
MBD000AC5B8.unknown
2 - *
:
70
As a result of this class, you will be able to...
Graphical
Methods
Pie
Chart
Quantitative
Data
Data
Bar
Graph
Qualitative
Data
Graphical
Methods
Numerical
Methods
Summary
Table
Numerical
Methods
Stem-
&-Leaf
Dot
Plot
Histo-
gram
Many
Graphical
Methods
Pie
Chart
Quantitative
Data
Data
Bar
Graph
Qualitative
Data
Graphical
Methods
Numerical
Methods
Summary
Table
Numerical
Methods
Stem-
&-Leaf
Dot
Plot
Histo-
gram
Many
Class
Frequency