SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both tests while a junior and scores 1130 on the SAT and 25 on the ACT. Compare the scores. The two scores are statistically the same. The two scores are statistically the same. You cannot determine which score is better from the given information. You cannot determine which score is better from the given information. A score of 25 on the ACT test was better. A score of 25 on the ACT test was better. A score of 1130 on the SAT test was better.
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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The two scores are statistically the same.The two scores are statistically the same.
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You cannot determine which score is better from the given information.You cannot determine which score is better from the given information.
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A score of 25 on the ACT test was better.A score of 25 on the ACT test was better.
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A score of 1130 on the SAT test was better.
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