Before applying to law school in the U.S., students need to take an exam called the LSAT. Before applying to medical school, students need to take an exam called the MCAT. The mean score for LSAT is 151 with a standard deviation of 10. The mean score for MCAT is 25.1 with a standard deviation of 6.4. Jean took both exams. She scored 172 on LSAT and 37 on MCAT. Calculate the z-scores for each exam.
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.
4. Before applying to law school in the U.S., students need to take an exam called the LSAT. Before applying to medical school, students need to take an exam called the MCAT. The mean score for LSAT is 151 with a standard deviation of 10. The mean score for MCAT is 25.1 with a standard deviation of 6.4. Jean took both exams. She scored 172 on LSAT and 37 on MCAT. Calculate the z-scores for each exam.
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