set
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Here is a data set (n=117n=117) that has been sorted.
| 26.3 | 26.8 | 27.5 | 28.1 | 28.2 | 28.3 | 28.5 | 28.5 | 30.3 |
| 30.4 | 30.6 | 31.5 | 31.6 | 31.8 | 32.2 | 32.2 | 32.3 | 32.4 |
| 32.5 | 32.6 | 32.6 | 33 | 33.1 | 33.2 | 34.1 | 34.1 | 34.3 |
| 34.3 | 34.7 | 34.7 | 34.9 | 35.2 | 35.3 | 36.1 | 36.4 | 36.4 |
| 36.5 | 36.7 | 36.9 | 37.1 | 37.4 | 37.5 | 37.6 | 37.7 | 37.7 |
| 38.1 | 38.4 | 39 | 39.2 | 39.5 | 39.7 | 39.9 | 40 | 40.1 |
| 40.2 | 40.6 | 40.9 | 41.1 | 41.2 | 41.2 | 41.3 | 41.3 | 41.6 |
| 41.8 | 41.8 | 41.9 | 41.9 | 42.1 | 42.3 | 42.4 | 42.7 | 42.8 |
| 43.3 | 44.6 | 44.7 | 45 | 45.3 | 45.3 | 45.4 | 45.5 | 45.8 |
| 45.9 | 46.2 | 46.4 | 46.4 | 46.9 | 46.9 | 46.9 | 47 | 47 |
| 47 | 47.2 | 47.3 | 47.4 | 47.5 | 47.6 | 48.1 | 48.2 | 48.4 |
| 48.5 | 48.7 | 49 | 49.1 | 50.3 | 50.3 | 50.5 | 51.3 | 52.1 |
| 53.3 | 53.6 | 54 | 54.5 | 54.9 | 55 | 55.2 | 56.5 | 59.8 |
Find the 79th-Percentile:
P79 =
Step by step
Solved in 2 steps with 2 images
