2) The scores for Mr. Brown's and Ms. Green's classes are given below. Make a box-and- whisker plot for both classes and discuss what the plots show about the classes. Clearly list/identify the Upper Quartile, Median, Lower Quartile, Interquartile range and explain how you would determine whether or not there are any outliers in the data set. State the values used to determine outliers (both high and low values) for each data set. Mr. Brown's Class: 9, 10, 14, 11, 19, 13, 14, 21, 19, 22, 21, 17, 15, 21, 17, 13, 13, 19, 13, 13 Ms. Green's Class: 18, 13, 16, 17, 10, 12, 9, 16, 13, 15, 13, 18, 16, 17, 10, 13, 9, 25, 24, 18 bolslgmoo uroy haolqUow lio
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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