In a sample of 30 students of the Academy, we obtained the following data which represents the weights of these students 65, 59, 47, 67, 56, 50, 74, 45, 83, 72, 71, 53, 82, 58, 64 79, 55, 88, 56, 69, 50, 68, 66, 62, 59, 52, 72, 63, 56, 91 answer the following questions without calculation. What is the best central measure and the best dispersion measure? Give reason for your answer. Are the three central measures have approximately equal values or not? If not what is the central measure which will have the greatest value and which will have the smallest value? Give reason for 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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