Find the percentil for the data point. Data set: 5 12 9 7 5 5 12 7 5 12 2 12 15 6 9 5 12 9 7 12; data point 6
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.
Find the percentil for the data point.
Data set: 5 12 9 7 5 5 12 7 5 12 2 12 15 6 9 5 12 9 7 12;
data point 6
First step is to arrange the data set in ascending (increasing) order.
Ascending order : 2 ,5 ,5 ,5 ,5 ,5 ,6, 7, 7, 7, 9 , 9, 9 ,12 ,12 ,12, 12 ,12 ,12 ,15.
Here , n =Total number of values = 20.
Here given data point is 6 so need to check how many data values are below (less than) 6.
Number of values less than 6 are 2 , 5 , 5 , 5 , 5 , 5 .
Thus , Six values are less than (below) 6 and total values we have in the data set is 20.
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