On a recent biology quiz, the class mean was 18 with a standard deviation of 2.6. Calculate the z-score (to 4 decimal places) for a person who received score of 21. z-score for Biology Quiz: The same person also took a midterm in their marketing course and received a score of 81. The class mean was 78 with a standard deviation of 6. Calculate the z-score (to 4 decimal places). z-score for Marketing Midterm: Which test did the person perform better on compared to the rest of the class? Find the coefficient of variation for the Biology Quiz. Give answer as a percent to 3 decimal places.C-Var for Biology Quiz: %Find the coefficient of variation for the Marketing Midterm. Give answer as a percent to 3 decimal places.C-Var for Marketing Midterm: %Which test scores were more variable?
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.
On a recent biology quiz, the class mean was 18 with a standard deviation of 2.6. Calculate the z-score (to 4 decimal places) for a person who received score of 21.
z-score for Biology Quiz:
The same person also took a midterm in their marketing course and received a score of 81. The class mean was 78 with a standard deviation of 6. Calculate the z-score (to 4 decimal places).
z-score for Marketing Midterm:
Which test did the person perform better on compared to the rest of the class?
Find the coefficient of variation for the Biology Quiz. Give answer as a percent to 3 decimal places.
C-Var for Biology Quiz: %
Find the coefficient of variation for the Marketing Midterm. Give answer as a percent to 3 decimal places.
C-Var for Marketing Midterm: %
Which test scores were more variable?
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