Students in a small introductory statistics class took their first test. Here is a dotplot of the data from the test. The student who scored a 79 on the test would like to 76 78 know if he is an outlier. If he is, then he wants to know if 82 84 Test scores 80 86 88 90 :- he is the only outlier. What do the data say? O No, he is not an outlier, but the student that scored an 89 is a high outlier. O No, there are not any outliers in this distribution. O Yes, he is an outlier, but so is everyone who scored below an 86 on the test, so he is not alone! O Yes, he is an outlier, but so is the student that scored an 80 on the test. O Yes, he is an outlier and he is the only outlier in this distribution.
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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