Here is a data set (n: 117) that has been sorted. %3D 39.3 41.6 42.8 46.6 46.8 47.4 47.6 47.9 48.4 48.9 49.1 49.2 49.4 49.6 51.3 51.6 51.7 52 52.1 52.4 52.4 52.6 53 53.2 53.7 53.7 53.8 54.1 54.2 54.2 54.4 54.5 54.6 55 55.1 55.2 55.2 55.7 56.1 56.2 56.4 56.5 56.6 56.8 57.9 58 58 58.5 58.5 58.6 59.3 59.4 59.4 59.5 59.7 59.7 59.8 59.9 60 60.1 60.3 60.5 61.1 61.2 61.3 61.5 61.5 62.2 62.3 62.5 62.6 62.9 63.1 63.2 63.5 63.8 64 64.2 64.3 64.5 64.6 65 65.3 65.3 65.4 66.1 66.6 66.7 66.9 67 67.3 67.5 67.6 67.9 68.6 69 69.6 69.7 70.3 70.6 70.8 70.9 71.3 71.7 73.2 73.2 73.2 73.6 74.2 74.4 74.7 75 75.5 75.6 76.4 77.4 79.2 Find the 12th-Percentile: P12 =
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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