Here is a data set (n = 117) that has been sorted. %3D 61.4 62.2 62.9 63.7 64.9 65 65.1 66.9 66.9 67.1 67.1 67.5 68.9 69.3 69.4 69.9 71.1 71.3 71.5 71.5 71.6 71.9 72 72.1 72.1 72.4 73.1 73.1 73.3 73.3 73.6 73.7 73.8 74.1 74.1 74.1 75.8 75.8 75.8 76.3 77 77.1 77.1 77.4 77.8 77.9 78 78.1 78.6 79 79 79 79.4 79.8 80.1 80.2 80.3 80.6 80.7 80.9 81.1 81.3 81.6 81.8 81.9 82 82.2 82.3 82.5 82.9 83.4 83.9 84 84.1 84.3 85.3 85.5 85.6 85.8 86.2 86.5 86.6 86.8 87 87.8 87.8 87.8 87.9 88.1 88.4 88.8 88.8 88.9 88.9 89.7 89.7 89.8 89.8 89.9 90.1 90.3 90.4 90.5 90.8 90.9 92.3 92.5 92.5 92.6 92.7 94.9 95 95.9 96.3 97.1 98.5 Find the 42nd-Percentile: PA2 = 0079
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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