A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.2 and the standard deviation was 5.3.The test scores of four students selected at random are 14, 23,10, and 34.Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 14 is? The z-score for 23 is? The z-score for 10 is? The z-score for 34 is? Which values, if any, are unusual?
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.
The test scores of four students selected at random are 14, 23,10, and 34.
Find the z-scores that correspond to each value and determine whether any of the values are unusual.
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