Summary Descriptive Statistics. Answer all parts of this question. 1.Consider the following sample of 18 midterm grade scores in a Statistics class: 39 92 75 61 45 87 59 51 18 93 74 16 32 39 87 42 87 In answering the questions below, show how you have arrived at your answer (providing your answers in a spreadsheet is sufficient) a. Calculate the mean, median and mode for these observations. b. Calculate a trimmed mean for these observations. Briefly explain why you have deleted certain observations.
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.
Summary
a. Calculate the mean,
b. Calculate a trimmed mean for these observations. Briefly explain why you have deleted certain observations.
c. Calculate the standard deviation and variance for all twenty observations.
d. Calculate the first, second and third
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