SAT or ACT revisited Remember back in Chapter 5when we used the equation SAT = 40 * ACT + 150to convert an ACT score into a SAT score. Let’s use thistransformation again, now with random variables.a) Suppose your school has a mean ACT score of 29.What would its equivalent mean SAT score be?b) If your school has a standard deviation of 5 ACTpoints, what is the standard of its equivalent SATscore?
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.
SAT or ACT revisited Remember back in Chapter 5
when we used the equation SAT = 40 * ACT + 150
to convert an ACT score into a SAT score. Let’s use this
transformation again, now with random variables.
a) Suppose your school has a
What would its equivalent mean SAT score be?
b) If your school has a standard deviation of 5 ACT
points, what is the standard of its equivalent SAT
score?
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