Suppose in a large class, students' grades in a test followed the normal distribution. Approximately what percent of grades are between two standard deviations below the mean and two standard deviations above the mean? (that is in between Xbar-2S and Xbar+2S grades). Note, Xbar is the mean, and S is the standard deviation. 34.3 47.9 95.8
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.
Suppose in a large class, students' grades in a test followed the
- 34.3
- 47.9
- 95.8
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