Approximate the measures of center for following GFDT. Data Frequency 40-44 1 45 - 49 50-54 11 55 -59 16 60-64 13 Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction). (a) mode = (b) median = (C) 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.
(a) The table with class boundaries is given below;
| No. | Data | Lower Boundary | Upper Boundary | Frequency |
| 1 | 40-44 | 39.5 | 44.5 | 1 |
| 2 | 45-49 | 44.5 | 49.5 | 0 |
| 3 | 50-54 | 49.5 | 54.5 | 11 |
| 4 | 55-59 | 54.5 | 59.5 | 16 |
| 5 | 60-64 | 59.5 | 64.5 | 13 |
Here 55-59 class has the highest frequency, Hence the modal class is 55-59.
Mode=57.6
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