ACT Scores Based on the Normal model (mean = 20.8 and standard deviation = 4.8), describing ACT scores for Kentucky high school seniors. a) what percent scores would you expect to be over 22 (minimum admission for most state schools except Kentucky State and Uni. of Kentucky)? Draw a picture. b) what percent of scores would you expect ot be below 17 (minimum for admission to the rest of the state schools not mentioned). Draw a picture 3) what act score represents the 90th percentile? Draw a picture.
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.
ACT Scores
Based on the Normal model (
a) what percent scores would you expect to be over 22 (minimum admission for most state schools except Kentucky State and Uni. of Kentucky)? Draw a picture.
b) what percent of scores would you expect ot be below 17 (minimum for admission to the rest of the state schools not mentioned). Draw a picture
3) what act score represents the 90th percentile? Draw a picture.
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