QUESTION 1 [25) 1. Consider the distribution of the number of scores made by UNA
ID: 3060948 • Letter: Q
Question
QUESTION 1 [25) 1. Consider the distribution of the number of scores made by UNAM net ball team in the 16 netball league matches of the last season. 63 74 42 65 51 54 36 56 102 57 62 64 76 67 79 61 81 77 59 38 84 68 71 9471 86 106 75 91 55 48 82 83 54 79 62 68 58 41 47 a) Using the class width of 5; determine the Frequency, Relative frequency and Percent relative frequency b) Determine the following Cumulative Frequency, Cumulative Relative frequency and Cumulative Percent relative frequency c What proportion of the score is less than 60? d) What proportion of the score is more than 70? ej Develop a stem and leaf display for the distributionExplanation / Answer
Result:
a). and b).
cumulative
lower
upper
frequency
Relative Frequency
percent
frequency
Relative Frequency
percent
36
40
2
0.05
5.0
2
0.05
5.0
41
45
2
0.05
5.0
4
0.1
10.0
46
50
2
0.05
5.0
6
0.15
15.0
51
55
4
0.1
10.0
10
0.25
25.0
56
60
4
0.1
10.0
14
0.35
35.0
61
65
6
0.15
15.0
20
0.5
50.0
66
70
3
0.075
7.5
23
0.575
57.5
71
75
4
0.1
10.0
27
0.675
67.5
76
80
4
0.1
10.0
31
0.775
77.5
81
85
4
0.1
10.0
35
0.875
87.5
86
90
1
0.025
2.5
36
0.9
90.0
91
95
2
0.05
5.0
38
0.95
95.0
96
100
0
0
0.0
38
0.95
95.0
101
105
1
0.025
2.5
39
0.975
97.5
106
110
1
0.025
2.5
40
1
100.0
40
1.0
100.0
c. proportion less than 60 is 14/40 =0.35
d. proportion more than 70 is 17/40 =0.425
e).
Stem and Leaf plot for
# 1
stem unit =
10
leaf unit =
1
Frequency
Stem
Leaf
2
3
6 8
4
4
1 2 7 8
8
5
1 4 4 5 6 7 8 9
9
6
1 2 2 3 4 5 7 8 8
8
7
1 1 4 5 6 7 9 9
5
8
1 2 3 4 6
2
9
1 4
2
10
2 6
40
cumulative
lower
upper
frequency
Relative Frequency
percent
frequency
Relative Frequency
percent
36
40
2
0.05
5.0
2
0.05
5.0
41
45
2
0.05
5.0
4
0.1
10.0
46
50
2
0.05
5.0
6
0.15
15.0
51
55
4
0.1
10.0
10
0.25
25.0
56
60
4
0.1
10.0
14
0.35
35.0
61
65
6
0.15
15.0
20
0.5
50.0
66
70
3
0.075
7.5
23
0.575
57.5
71
75
4
0.1
10.0
27
0.675
67.5
76
80
4
0.1
10.0
31
0.775
77.5
81
85
4
0.1
10.0
35
0.875
87.5
86
90
1
0.025
2.5
36
0.9
90.0
91
95
2
0.05
5.0
38
0.95
95.0
96
100
0
0
0.0
38
0.95
95.0
101
105
1
0.025
2.5
39
0.975
97.5
106
110
1
0.025
2.5
40
1
100.0
40
1.0
100.0
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