<\/span><\/h2>\nTo find the value of a z-score, follow these steps:<\/p>\n
Step 1:<\/strong> Identify the data point you want to convert into a z-score and note its value.<\/p>\nStep 2:<\/strong> Determine the mean (\u03bc) and standard deviation (\u03c3) of the dataset that contains the data point in question. These values can be obtained from the dataset itself or provided separately.<\/p>\nStep 3:<\/strong> Use the formula below to calculate the z-score:<\/p>\n z = (x – \u03bc) \/ \u03c3<\/strong>, where z represents the z-score, x is the data point, \u03bc is the mean, and \u03c3 is the standard deviation.<\/p>\nBy substituting the appropriate values into the formula, you can find the z-score of any data point.<\/p>\n
For example, let’s say you have a dataset with a mean (\u03bc) of 50 and a standard deviation (\u03c3) of 10. If you want to find the z-score for a data point of 65, the calculation would be as follows:<\/p>\n
z = (65 – 50) \/ 10
\nz = 15 \/ 10
\nz = 1.5<\/p>\n
Therefore, the z-score for the data point 65 in this specific dataset is 1.5.<\/p>\n