The following table contains two data Sets. Data set II is obtained by removing the outliers from Data Set I. Data set II Data set I 23 O 12 14 15 10 14 15 17 12 15 14 15 16 24 10 14 14 15 16 15 17 a) Compute the sample mean and standard deviation for both data sets. b) What effect do outliers have on the variation in a data set? Explain your answer.
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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