Cristina and Diana began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Cristina took a test in English and earned a 81.3, and Diana took a test in Art History and earned a 65. Use the fact that all the students' test grades in the English class had a mean of 73.7 and a standard deviation of 10, and all the students' test grades in Art History had a mean of 65.1 and a standard deviation of 11.1 to answer the following questions. a) Calculate the z-score for Cristina's test grade. b) Calculate the z-score for Diana's test grade. = Z c) Which person did relatively better? O Cristina O Diana O They did equally well.
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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