A. Given a normally distributed set of scores with mean = 86.5 and started deviation = 11.14, determine the approximate location of the following scores in terms of the standard deviation. 1. X = 100 2. X = 55.5 B. Given the set of data of battery exam scores, determine which of the following 10 students will pass the Human Anatomy Subject if the condition is to have a corresponding z score of 1 and above. Name of students Score 1. James 50 2. Miguel 35 3. Eliza 60 4. Rowell 54 5. Michael 40 6. Joan 45 7. Mariel 30 8. Julius 30 9. Cheska 45 10. Andrea 50 1. )What is the mean of the data? 2. )What is the standard deviation of the data? 3. )What are the corresponding Z scores of each student? Show your complete answer. 4. ) List the names of the all students who passed the battery exam?

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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.