Homework SourseConsider a sample with data values of 10 20 12 17 and 16Comp
Consider a sample with data values of 10, 20, 12, 17, and 16.Compute the z-score for each of the five observations (to2 decimals).
| Observed value | z-score | ||
| 10 | | ||
| 20 | | ||
| 12 | | ||
| 17 | | ||
| 16 |
Solution
mean = (10+20+12+17+16)/5=15
standard deviation = 4 (based on the data)
Z-score = (X-mean)/standard deviation
| Observed Value | Z-score |
| 10 | (10-15)/4 =-1.25 |
| 20 | (20-15)/4=1.25 |
| 12 | (12-15)/4=-0.75 |
| 17 | (17-15)/4=0.5 |
| 16 | (16-15)/4=0.25 |
