Consider the following sample data. Sample A: 8,13,18 Sample B: 66,71,76 Sample C: 1,025, 1,030, 1,035 a). Find the mean and standard deviation for each sample. b) What does this exercise show about standard deviation ? •The idea is to illustrate that the standard deviation is not a function of the value of the mean or • The idea is to illustrate that the standard deviation is a function of the value of the mean
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.
Consider the following sample data.
Sample A: 8,13,18
Sample B: 66,71,76
Sample C: 1,025, 1,030, 1,035
a). Find the
b) What does this exercise show about standard deviation ?
•The idea is to illustrate that the standard deviation is not a
or
• The idea is to illustrate that the standard deviation is a function of the value of the mean
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