For this grouped data set: Scores | Frequencies 30-34 | 7 25-29 | 9 20-24 | 14 15-19 | 10 10-14 | 8 5-9 | 2 What is the mean, median and mode of this data 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.
For this grouped data set:
Scores | Frequencies
30-34 | 7
25-29 | 9
20-24 | 14
15-19 | 10
10-14 | 8
5-9 | 2
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