Using data collected from 1981 to 2010 for Ann Arbor, MI (GO BLUE!), the average “high” temperature for days in July has a mean of 28.9° Celsius with a standard deviation of 3.3° Celsius. What are the mean and standard deviation if the temperatures are converted to degrees Fahrenheit?  Fahrenheit = 1.8\times1.8× Celsius +32+32 (A) Mean is 84.02°F, Standard deviation is 1.83°F. (B) Mean is 52.02°F, Standard deviation is 5.94°F. (C) Mean is 84.02°F, Standard deviation is 5.94°F. (D) Mean is 84.02°F, Standard deviation is 35.28°F. (E) Mean is 84.02°F, Standard deviation is 37.94°F.

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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.