A teacher had two AP Statistics classes. The mean score on the AP Exam for one class was 3.2, while the mean score for the other class, which had more students, was 3.8. What must be true about the mean score of all of the teacher's AP students? (A) The mean score for all students must be 3.5. (B) It's possible that the mean score of all students is 3.5, but it doesn't have to be. (C) The mean score for all students can be anything between 3.2 and 3.8. (D) The mean score for all students is less than 3.5 but greater than 3.2. (E) The mean score for all students is greater than 3.5 but less than 3.8.
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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