The first Stat exam had a mean of 85and a standard deviation of 2 points; the second had a mean of 65 and a standard deviation of 12 points. Reginald scored an 85 on the first test and an 83 on the second. Sara scored a 91 on the first test but only aa 59 on the second. Although Reginald's total score is higher, Sara feels she should get the higher grade. Explain her point of view. How would you find the standard deviation for Sara and for Reginald?
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 first Stat exam had a
How would you find the standard deviation for Sara and for Reginald?
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