In: Statistics and Probability
Create a hypothetical set of data for a single variable that is on an interval or ratio scale measurement. There should be 50 scores. And name the variable And create a z score distribution.
Ans:
Let x be the marks obtained.
mean=15
standard deviation=7.2
z=(x-15)/7.2
S.no. | x | z- score |
1 | 15 | 0.00 |
2 | 6 | -1.25 |
3 | 7 | -1.11 |
4 | 10 | -0.69 |
5 | 13 | -0.28 |
6 | 11 | -0.56 |
7 | 9 | -0.83 |
8 | 24 | 1.25 |
9 | 18 | 0.42 |
10 | 22 | 0.97 |
11 | 13 | -0.28 |
12 | 15 | 0.00 |
13 | 25 | 1.39 |
14 | 21 | 0.83 |
15 | 10 | -0.69 |
16 | 11 | -0.56 |
17 | 14 | -0.14 |
18 | 20 | 0.69 |
19 | 10 | -0.69 |
20 | 11 | -0.56 |
21 | 25 | 1.39 |
22 | 35 | 2.78 |
23 | 26 | 1.53 |
24 | 24 | 1.25 |
25 | 15 | 0.00 |
26 | 3 | -1.67 |
27 | 4 | -1.53 |
28 | 7 | -1.11 |
29 | 12 | -0.42 |
30 | 8 | -0.97 |
31 | 6 | -1.25 |
32 | 22 | 0.97 |
33 | 20 | 0.69 |
34 | 19 | 0.56 |
35 | 10 | -0.69 |
36 | 15 | 0.00 |
37 | 21 | 0.83 |
38 | 15 | 0.00 |
39 | 3 | -1.67 |
40 | 9 | -0.83 |
41 | 12 | -0.42 |
42 | 18 | 0.42 |
43 | 7 | -1.11 |
44 | 13 | -0.28 |
45 | 23 | 1.11 |
46 | 27 | 1.67 |
47 | 24 | 1.25 |
48 | 22 | 0.97 |
49 | 8 | -0.97 |
50 | 12 | -0.42 |