Probstat.docx
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Davantes, John Joshua O. CIV 134 12 76 82 49 22 55 27 22 27 23
15 54 85 27 77 43 38 18 18 19
18 33 35 54 44 23 59 17 66 49
20 57 20 34 55 34 67 78 33 68
25 72 38 67 32 58 83 74 15 59
29 70 59 40 77 63 80 45 29 26
36 26 62 55 78 24 82 56 67 37
Minimum Maximum Stem 1 2 3 4 5 6 7 8
34 79 14 52 71 16 32 71 56 45
56 80 29 41 66 14 37 32 44 25
12 85
2 0 2 0 2 2 0 0
4 0 2 1 4 3 1 0
4 2 2 3 4 4 1 2
5 2 3 4 5 6 2 2
5 3 3 4 5 6 3 3
6 3 3 5 5 7 4 5
7 4 4 5 6 7 4
Leafs 8 8 8 5 5 6 4 4 4 5 6 9 6 6 7 7 7 8 6 7 7
9 6 5 9 7 8 8
7 7 7 9 9 6 7 8 8 9 8 9 9 9 9 8 9
Class Width Class Boundary Class Mark Frequency Cum. Freq 21 12 11.5 21.5 16.5 13 13 22 31 21.5 31.5 26.5 14 27 32 41 31.5 41.5 36.5 16 43 42 51 41.5 51.5 46.5 9 52 52 61 51.5 61.5 56.5 15 67 62 71 61.5 71.5 66.5 15 82 72 81 71.5 81.5 76.5 14 96 82 91 81.5 91.5 86.5 4 100 100
F(x) 214.5 371 584 418.5 847.5 997.5 1071 346 4850
46 64 68 73 69 45 74 33 67 34
Davantes, John Joshua O. CIV 134
ππππ = πΏππ +
ππ0 β π1 (πΆ) 2πππ β π1 β π2
Mode = 33.72 MEDIAN: 41.5 51.5
43 52
WHEN y = 50 ; x = 26.77
STANDARD DEVIATION: π = 21.21 S = 21.32
Line Graph 18 16
FREQUENCY
14 12 10
8 6 4 2 0 0
10
20
30
40
50
CLASS MARK
60
70
80
90
100
Davantes, John Joshua O. CIV 134
Bar Graph 18 16
Frequecny
14 12 10 8 6
4 2 0 16.5
26.5
36.5
46.5
56.5
66.5
76.5
86.5
Class Mark
Pie Graph
4
13
16.5
14
26.5 14
36.5 46.5
15
56.5 66.5 16 15 9
76.5 86.5
Davantes, John Joshua O. CIV 134
Histogram 18 16 14
Frequecny
12 10 8 6 4 2 0 16.5
26.5
36.5
46.5
56.5
Class Mark
66.5
76.5
86.5
15 54 85 27 77 43 38 18 18 19
18 33 35 54 44 23 59 17 66 49
20 57 20 34 55 34 67 78 33 68
25 72 38 67 32 58 83 74 15 59
29 70 59 40 77 63 80 45 29 26
36 26 62 55 78 24 82 56 67 37
Minimum Maximum Stem 1 2 3 4 5 6 7 8
34 79 14 52 71 16 32 71 56 45
56 80 29 41 66 14 37 32 44 25
12 85
2 0 2 0 2 2 0 0
4 0 2 1 4 3 1 0
4 2 2 3 4 4 1 2
5 2 3 4 5 6 2 2
5 3 3 4 5 6 3 3
6 3 3 5 5 7 4 5
7 4 4 5 6 7 4
Leafs 8 8 8 5 5 6 4 4 4 5 6 9 6 6 7 7 7 8 6 7 7
9 6 5 9 7 8 8
7 7 7 9 9 6 7 8 8 9 8 9 9 9 9 8 9
Class Width Class Boundary Class Mark Frequency Cum. Freq 21 12 11.5 21.5 16.5 13 13 22 31 21.5 31.5 26.5 14 27 32 41 31.5 41.5 36.5 16 43 42 51 41.5 51.5 46.5 9 52 52 61 51.5 61.5 56.5 15 67 62 71 61.5 71.5 66.5 15 82 72 81 71.5 81.5 76.5 14 96 82 91 81.5 91.5 86.5 4 100 100
F(x) 214.5 371 584 418.5 847.5 997.5 1071 346 4850
46 64 68 73 69 45 74 33 67 34
Davantes, John Joshua O. CIV 134
ππππ = πΏππ +
ππ0 β π1 (πΆ) 2πππ β π1 β π2
Mode = 33.72 MEDIAN: 41.5 51.5
43 52
WHEN y = 50 ; x = 26.77
STANDARD DEVIATION: π = 21.21 S = 21.32
Line Graph 18 16
FREQUENCY
14 12 10
8 6 4 2 0 0
10
20
30
40
50
CLASS MARK
60
70
80
90
100
Davantes, John Joshua O. CIV 134
Bar Graph 18 16
Frequecny
14 12 10 8 6
4 2 0 16.5
26.5
36.5
46.5
56.5
66.5
76.5
86.5
Class Mark
Pie Graph
4
13
16.5
14
26.5 14
36.5 46.5
15
56.5 66.5 16 15 9
76.5 86.5
Davantes, John Joshua O. CIV 134
Histogram 18 16 14
Frequecny
12 10 8 6 4 2 0 16.5
26.5
36.5
46.5
56.5
Class Mark
66.5
76.5
86.5
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