Use the following data set to answer the following questions. Data set: 1, 1, 2, 3, 3, 4, 5, 6, 8, 8, 8, 9, 10, 12, 14. (a) Find the 43rd percentiles. (b) Find the 75th percentile. (c) Find the percentile of value 8.
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.
Use the following data set to answer the following questions.
Data set: 1, 1, 2, 3, 3, 4, 5, 6, 8, 8, 8, 9, 10, 12, 14.
(a) Find the 43rd percentiles.
(b) Find the 75th percentile.
(c) Find the percentile of value 8.
(d) Find the percentile of value 10.
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