Given the following data set that presents 30 test scores on an exam, find the position of the 63rd percentile. State your result/answer as a value with exactly two digits after the decimal 49.5, 48, 51, 50, 53.2, 52, 55, 54, 57, 56, 59, 58, 61, 60, 63, 62, 65.4, 64, 67.5, 66, 69, 68, 71, 70, 73, 72, 75.2, 74, 92, 88
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.
Given the following data set that presents 30 test scores on an exam, find the position of the 63rd percentile. State your result/answer as a value with exactly two digits after the decimal
49.5, 48, 51, 50, 53.2, 52, 55, 54, 57, 56, 59, 58, 61, 60, 63, 62, 65.4, 64, 67.5, 66, 69, 68, 71, 70, 73, 72, 75.2, 74, 92, 88
A partition value is a measure that divides the given data into equal parts. The types of partition values are median, quartile, deciles, percentiles. Percentile divides the data into 100 equal parts.
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