The three measures of center introduced in this chapter arethe mean, median, and trimmed mean. Two additionalmeasures of center that are occasionally used are the midrange,which is the average of the smallest and largestobservations, and the midfourth, which is the average ofthe two fourths. Which of these five measures of center areresistant to the effects of outliers and which are not?Explain your reasoning.
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.
The three measures of center introduced in this chapter are
the
measures of center that are occasionally used are the midrange,
which is the average of the smallest and largest
observations, and the midfourth, which is the average of
the two fourths. Which of these five measures of center are
resistant to the effects of outliers and which are not?
Explain your reasoning.
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