A normal distribution has a mean of 76 and a standard deviation of 8. Find the z-score for a data value of 107. Use the formula Z = where p is the mean, o is the standard deviation, and x is the data value. Round to 4 decimal places
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.
![A normal distribution has a mean of 76 and a standard deviation of 8. Find the z-score for a data value of
107.
Use the formula Z =
where p is the mean, o is the standard deviation, and x is the data value.
Round to 4 decimal places](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2daf47f-1d43-4c0e-a218-05866800687b%2Fb3ff9000-9516-4815-b9c1-7f77c4bb4535%2Fxyl7723.jpeg&w=3840&q=75)
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