in 2015 when she was a high school senior, linda scored 680 on the mathmatics part of the SAT the distribution of SAT math scores in 2015 was normal with mean 511 and standard deviation 120. Jack took the ACT and scored 26 on the mathmatics portion. ACT math scores for 2015 were normally distributed with mean 20.8 and standard deviation 5.4 find the standardized scores for both students assuming that both tests measure the same kind of ability who had the higher score ?
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.
in 2015 when she was a high school senior, linda scored 680 on the mathmatics part of the SAT the distribution of SAT math scores in 2015 was normal with
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