mode = median = mean =
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.
Approximate the measures of center for following GFDT.
| Data | Frequency |
|---|---|
| 50 - 54 | 2 |
| 55 - 59 | 3 |
| 60 - 64 | 5 |
| 65 - 69 | 10 |
| 70 - 74 | 18 |
| 75 - 79 | 15 |
| 80 - 84 | 9 |
| 85 - 89 | 0 |
| 90 - 94 | 5 |
Given
| Data | Frequency | Mid point | Midpoint*Frequency | Cummulative frequency |
| 50 - 54 | 2 | 52 | 104 | 2 |
| 55 - 59 | 3 | 57 | 171 | 5 |
| 60 - 64 | 5 | 62 | 310 | 10 |
| 65 - 69 | 10 | 67 | 670 | 20 |
| 70 - 74 | 18 | 72 | 1296 | 38 |
| 75 - 79 | 15 | 77 | 1155 | 53 |
| 80 - 84 | 9 | 82 | 738 | 62 |
| 85 - 89 | 0 | 87 | 0 | 62 |
| 90 - 94 | 5 | 92 | 460 | 67 |
| Sum | 67 | 4904 |
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