The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks, Priya obtains 46 marks, and Nora obtains 49 marks. The examination board decides that those who scored 80 % and above will get a gold medal, those who score 70 % to 79 % inclusive will get a silver medal and those who scored 60 % to 69 % inclusive will get a bronze medal. Determine the type of medal each of them will get?
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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