For the following, scores on psychology exam were normally distributed with a mean of 67 and a standard deviation of 8. Find the following 1. if 500 students took the exam, approximately how many students scored between a 70 and an 80? 2. If a student scored a 95 on the exam, what percentile are they in 3. find the score on the test for a student if they were in the 42.07th percentile
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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