The students in the HS3333 course recently took an exam and these were the scores: 76, 88, 67, 80, 44, 65, 50, 98, 55, 45, 23, 44, 65, 78, 66, 56, 89, 76,87,29 What score is the 75% percentile? (Show work.) What score is the 90% percentile? (Show work.) A score of 55 is what percentile? (Show work.)
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.
- The students in the HS3333 course recently took an exam and these were the scores:
76, 88, 67, 80, 44, 65, 50, 98, 55, 45, 23, 44, 65, 78, 66, 56, 89, 76,87,29
- What score is the 75% percentile? (Show work.)
- What score is the 90% percentile? (Show work.)
- A score of 55 is what percentile? (Show work.)
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