Your Turn: Standardized Scores Scores on the final exam in Ms. Meyer's statistics class follow a normal distribution, with a mean of 82 and a standard deviation of 5. 1. Ron, who took Ms Meyer's class, scored 88 on the final. Ron's z-score is Click to view hint 2. This means that Rons final score is Click to view hint 3. Dan also took Ms. Meyer's class, and the z-score of his final is -2.4. This means that Dan's score is: Click to view hint 4. Dan's actual score on the final is Click to view hint 5. Julie was assigned to take her statistics class with Mr. Fisher, whose final scores followed normal distribution with mean 75 and standard deviation of 6. Her score on the final was 84. Which of the two scores, Ron's or Julie's, is more impressive? • Click to view hìnt
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.
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