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 |