Test scores for a history class had a mean of 77 with a standard deviation of 4.4. Test scores for a physics class had a mean of 61 with a standard deviation of 4.1. Suppose a student gets a 85 on the history test and a 74 on the physics test. (Round answers to two decimal places)(a) Calculate the z-score for each test. Label each score properly:(b) On which test did the student perform relatively worse?
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.
Test scores for a history class had a
(a) Calculate the z-score for each test. Label each score properly:
(b) On which test did the student perform relatively worse?
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