Sarah has taken two examinations in her statistics class. She scored 35 on the first exam, for which the mean of all scores was 32 and the standard deviation was 5.4. Her score on the second exam, for which the mean of all scores was 28 and the standard deviation was 4.0, was 34. In comparison to her classmates, did Sarah do better on the first exam or the second exam?
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.
Sarah has taken two examinations in her statistics class. She scored 35 on the first exam, for which the
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