Standardized tests: In a particular year, the mean score on the ACT test was 22.7 and the standard deviation was 3.9. The mean score on the SAT mathematics test was 542 and the standard deviation was 121. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/ 4 Part 1 of 4 (a) Find the z-score for an ACT score of 21. The z-score for an ACT score of 21 is
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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