The formula to calculate the inverse Z score is:
\[ X = \mu + Z\sigma \]
Where:
An inverse Z score, also known as a Z-score to raw score conversion, is a statistical method used to determine the original raw score of a data point given its Z-score and the mean and standard deviation of the dataset. The Z-score represents how many standard deviations a data point is from the mean. The inverse Z-score is calculated by multiplying the Z-score by the standard deviation and adding the mean. This is useful in understanding the original value of a data point in the context of its dataset.
Example:
Calculation:
\[ X = 100 + 1.5 \times 15 = 122.5 \]