The weights of students in a very large statistics class vary according to a Normal distribution with a mean of 160 pounds and a standard deviation of 22 pounds. Use this information to find the following, rounding to two decimal places as necessary. (a) What percent of students weigh between 138 and 182 pounds? (b) What percent of students weigh more than 206 pounds? (c) What weight would put a student in the top 5% of weights in this class?
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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