z-scores
| THEORETICAL STATISTICAL FUNCTION, f(Z) | |||||||||
| Ending
z-scores |
h1=f(z) | h | area | interval | Finding areas: | ||||
| -3 | 0.0044 | 0.5 | (-2.5 to -3) | Use the area of a trapezoid to | |||||
| -2.5 | 0.0175 | 0.5 | (-2 to -2.5) | determine area under the curve | |||||
| -2 | 0.0540 | 0.5 | (-1.5 to -2) | or probabilities for every change | |||||
| -1.5 | 0.1295 | 0.5 | (-1 to -1.5) | in h or .5 increment in z-scores. | |||||
| -1 | 0.2420 | 0.5 | (-.5 to -1) |
|
|||||
| -0.5 | 0.3521 | 0.5 | (0 to -.5) | ||||||
| 0 | 0.3989 | 0.5 | (0 to .5) | ||||||
| 0.5 | 0.3521 | 0.5 | (.5 to 1) | ||||||
| 1 | 0.2420 | 0.5 | (1 to 1.5) | ||||||
| 1.5 | 0.1295 | 0.5 | (1.5 to 2) | ||||||
| 2 | 0.0540 | 0.5 | (2 to 2.5) | ||||||
| 2.5 | 0.0175 | 0.5 | (2.5 to 3) | ||||||
| 3 | 0.0044 | 0.5 | |||||||
Figure 5. Smoothed histogram for the Standard
Normal Distribution
