Combining scores again The first Stat exam had a meanof 80 and a standard deviation of 4 points; the secondhad a mean of 70 and a standard deviation of 15 points.Reginald scored an 80 on the first test and an 85 on thesecond. Sara scored an 88 on the first but only a 65 on thesecond. Although Reginald’s total score is higher, Sarafeels she should get the higher grade. Explain her pointof view.
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.
Combining scores again The first Stat exam had a
of 80 and a standard deviation of 4 points; the second
had a mean of 70 and a standard deviation of 15 points.
Reginald scored an 80 on the first test and an 85 on the
second. Sara scored an 88 on the first but only a 65 on the
second. Although Reginald’s total score is higher, Sara
feels she should get the higher grade. Explain her point
of view.
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