A recruiter at Salisbury University is interested in comparing the percentages of high school seniors who plan to go to college in two different regions of the country. The boxplots of the distributions of the percentages of seniors who plan to go to college are shown below.    Compare the distributions of the percentages of seniors who plan to go to college in the two regions.   The recruiter combined the data from the two regions to produce a single histogram. Describe the shape of the distribution of the combined data.

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Q: 20 15 22 14 25 21 12 20 11 16 29 25 17 19 25 25 31 13 10 18 39 24 29 30 34 25 14

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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.