The table below shows the scores of a group of students on a 10-point quiz. Test Score Frequency 3. 4 1 4. 3 8 3 9. 10 The mean score on this test is: The median score on this test is:
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.
Solution:
Given frequency distribution is
| Test score (x) | Frequency (f) | fx | Cumulative frequency (<) type |
| 3 | 5 | 15 | 5 |
| 4 | 4 | 16 | 9 |
| 5 | 1 | 5 | 10 |
| 6 | 4 | 24 | 14 |
| 7 | 3 | 21 | 17 |
| 8 | 3 | 24 | 20 |
| 9 | 0 | 0 | 20 |
| 10 | 3 | 30 | 23 |
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