Suppose the people living in a city have a mean score of 35 and a standard deviation of 10 on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the 50%−34%−14% figures, approximately what percentage of people have a score (a) above 35, (b) above 45, (c) above 15, (d) above 25, (e) below 35, (f) below 45, (g) below 15, and (h) below 25? (a) Approximately what percentage of people have a score above 35? %
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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