{"id":2658,"date":"2023-03-07T16:50:46","date_gmt":"2023-03-07T11:20:46","guid":{"rendered":"https:\/\/www.tutoroot.com\/blog\/?p=2658"},"modified":"2024-12-20T09:46:37","modified_gmt":"2024-12-20T04:16:37","slug":"what-is-z-score-table-formula-example-and-chart","status":"publish","type":"post","link":"https:\/\/www.tutoroot.com\/blog\/what-is-z-score-table-formula-example-and-chart\/","title":{"rendered":"What is Z-Score Table? Formula, Example, and Chart"},"content":{"rendered":"

The number of standard deviations from the mean is defined as the Z-score. A data point represents the number of standard deviations below or above the mean. A raw score in the form of a Z-score is also known as a standard score, and it can be plotted on a normal distribution curve. The Z-score ranges from -3 to +3 standard deviations.<\/span>\u00a0<\/span><\/p>\n

A Z-score may be used to calculate the difference or distance between a value and the mean value. When a variable is “standardized,” its mean becomes zero and its standard deviation becomes one.<\/span>\u00a0<\/span><\/p>\n

What is the Z-Score Formula?<\/span><\/b><\/h2>\n

It is a method of comparing test findings to those of a “normal” population.<\/span>\u00a0<\/span><\/p>\n

If X is a random variable with a mean (\u03bc) and standard deviation (\u03c3), its Z-score may be determined by subtracting the mean from X and dividing the result by the standard deviation.<\/span>\u00a0<\/span><\/p>\n

\\(z= \\frac{(x- \\mu )}{ \\sigma }\\)<\/strong><\/p>\n

\u03bc is the mean value<\/span>\u00a0<\/span><\/p>\n

x is the test value<\/span>\u00a0<\/span><\/p>\n

\u03c3 is the standard deviation<\/span>\u00a0<\/span><\/p>\n

Z-Score Interpretation<\/span><\/b><\/h2>\n

Here’s how to read z-scores:<\/span>\u00a0<\/span><\/p>\n