O LINEAR EQUATIONS AND INEQUALITES Finding the value for a new score that will yield a given mean Ann has scored 75, 94, 70, 81, and 76 on her previous five tests. What score does she need on her next test so that her average (mean) is 76?

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A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:

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A: The given data is 57, 25, 80, 56, 25, 62, 40, and 93.

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.