E-mails A university teacher saved every e-mail received from students in a large Introductory Statistics class dur-ing an entire term. He then counted, for each student who had sent him at least one e-mail, how many e-mails eachstudent had sent. a) From the histogram, would you expect the mean or themedian to be larger? Explain.b) Write a few sentences describing this distribution(shape, center, spread, unusual features). c) Which summary statistics would you choose to sum-marize the center and spread in these data? Why?
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.
ing an entire term. He then counted, for each student who
student had sent.
median to be larger? Explain.
b) Write a few sentences describing this distribution
(shape, center, spread, unusual features).
marize the center and spread in these data? Why?
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