Calculate the mean of the grouped data from the given frequency distribution. (Round to the nearest tenth.) Class Frequency (f) 30 to 39 2 40 to 49 2 50 to 59 5 60 to 69 2 A. 43.6 B. 46.7 C. 50.9 D. 63.4
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.
| Class | Frequency (f) |
|---|---|
| 30 to 39 | 2 |
| 40 to 49 | 2 |
| 50 to 59 | 5 |
| 60 to 69 | 2 |
Given Data:
| Class | Midpoint (x) | Frequency (f) | x f |
| 30-39 | 34.5 | 2 | 69 |
| 40-49 | 44.5 | 2 | 89 |
| 50-59 | 54.5 | 5 | 272.5 |
| 60-69 | 64.5 | 2 | 129 |
| Total=11 | Total=559.5 |
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