grow graphs
4) For the following scores (Note: this will be more easily done by hand)
44 19 23 17 25 47 32 26 25 30 18 24 24 49 51 24 13 43 27 34 16 52 18 46 25
A) place them in a grouped frequency distribution graph with an interval of 2 points
Solution:
|
|
Data |
|
|
|
|
|
cumulative |
|
|
lower |
|
upper |
midpoint |
width |
frequency |
percent |
frequency |
percent |
|
12 |
< |
14 |
13 |
2 |
1 |
4.0 |
1 |
4.0 |
|
15 |
< |
16 |
15 |
2 |
0 |
0.0 |
1 |
4.0 |
|
17 |
< |
18 |
17 |
2 |
2 |
8.0 |
3 |
12.0 |
|
19 |
< |
20 |
19 |
2 |
3 |
12.0 |
6 |
24.0 |
|
21 |
< |
22 |
21 |
2 |
0 |
0.0 |
6 |
24.0 |
|
23 |
< |
24 |
23 |
2 |
1 |
4.0 |
7 |
28.0 |
|
25 |
< |
26 |
25 |
2 |
6 |
24.0 |
13 |
52.0 |
|
27 |
< |
28 |
27 |
2 |
2 |
8.0 |
15 |
60.0 |
|
29 |
< |
30 |
29 |
2 |
0 |
0.0 |
15 |
60.0 |
|
31 |
< |
32 |
31 |
2 |
1 |
4.0 |
16 |
64.0 |
|
33 |
< |
34 |
33 |
2 |
1 |
4.0 |
17 |
68.0 |
|
35 |
< |
36 |
35 |
2 |
1 |
4.0 |
18 |
72.0 |
|
37 |
< |
38 |
37 |
2 |
0 |
0.0 |
18 |
72.0 |
|
39 |
< |
40 |
39 |
2 |
0 |
0.0 |
18 |
72.0 |
|
41 |
< |
42 |
41 |
2 |
0 |
0.0 |
18 |
72.0 |
|
43 |
< |
44 |
43 |
2 |
1 |
4.0 |
19 |
76.0 |
|
45 |
< |
46 |
45 |
2 |
1 |
4.0 |
20 |
80.0 |
|
47 |
< |
48 |
47 |
2 |
2 |
8.0 |
22 |
88.0 |
|
49 |
< |
50 |
49 |
2 |
1 |
4.0 |
23 |
92.0 |
|
51 |
< |
52 |
51 |
2 |
1 |
4.0 |
24 |
96.0 |
|
53 |
< |
54 |
53 |
2 |
1 |
4.0 |
25 |
100.0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25 |
100.0 |
|
|
B) place them in a grouped frequency distribution graph with an interval of 5 points
|
|
|
Data |
|
|
|
|
|
cumulative |
|
|
|
lower |
|
upper |
midpoint |
width |
frequency |
percent |
frequency |
percent |
|
|
10 |
< |
15 |
13 |
5 |
1 |
4.0 |
1 |
4.0 |
|
|
16 |
< |
20 |
18 |
5 |
5 |
20.0 |
6 |
24.0 |
|
|
21 |
< |
25 |
23 |
5 |
4 |
16.0 |
10 |
40.0 |
|
|
26 |
< |
30 |
28 |
5 |
5 |
20.0 |
15 |
60.0 |
|
|
31 |
< |
35 |
33 |
5 |
3 |
12.0 |
18 |
72.0 |
|
|
36 |
< |
40 |
38 |
5 |
0 |
0.0 |
18 |
72.0 |
|
|
41 |
< |
45 |
43 |
5 |
2 |
8.0 |
20 |
80.0 |
|
|
46 |
< |
50 |
48 |
5 |
3 |
12.0 |
23 |
92.0 |
|
|
51 |
< |
55 |
52 |
5 |
2 |
8.0 |
25 |
100.0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25 |
100.0 |
|
|
C) place them in a grouped frequency distribution graph with an interval of 10 points
|
|
|
Data |
|
|
|
|
|
cumulative |
|
|
|
lower |
|
upper |
midpoint |
width |
frequency |
percent |
frequency |
percent |
|
|
10 |
< |
20 |
15 |
10 |
6 |
24.0 |
6 |
24.0 |
|
|
21 |
< |
30 |
25 |
10 |
9 |
36.0 |
15 |
60.0 |
|
|
31 |
< |
40 |
35 |
10 |
3 |
12.0 |
18 |
72.0 |
|
|
41 |
< |
50 |
45 |
10 |
5 |
20.0 |
23 |
92.0 |
|
|
51 |
< |
60 |
55 |
10 |
2 |
8.0 |
25 |
100.0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25 |
100.0 |
|
|
D) place them in a grouped frequency distribution graph with an interval of 20 points
|
|
|
|
|
|
|
|
|
|
|
|
Data |
|
|
|
|
|
cumulative |
|
|
lower |
|
upper |
midpoint |
width |
frequency |
percent |
frequency |
percent |
|
0 |
< |
20 |
10 |
20 |
6 |
24.0 |
6 |
24.0 |
|
20 |
< |
40 |
30 |
20 |
12 |
48.0 |
18 |
72.0 |
|
40 |
< |
60 |
50 |
20 |
7 |
28.0 |
25 |
100.0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
25 |
100.0 |
|
|