Following are the marks obtained by 49 students, calculate median the two quartiles and 86th percentile: 38 60 40 41 29 40 58 56 40 56 39 40 54 40 53 54 37 53 45 50 36 50 35 50 32 45 30 56 30 50 45 36 43 30 28 42 22 42 20 18 24 26 18 17 15 27 42 29 30
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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