Finding the Standard Deviation Find the standard deviation of the distribution in the following situations. n (a) MENSA is an organization whose members have IQs in the top 4% of the population. IQs are normally distributed with mean 100, and the minimum IQ score required for admission to MENSA is 135. o = (b) Cholesterol levels for women aged 20 to 34 follow an approximately normal distribution with mean 180 milligrams per deciliter (mg/dl). Women with cholesterol levels above 225 mg/dl are considered to have high cholesterol and about 18% of women fall into this category. o =
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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