Z Factor Calculator for Positive and Negative Means

How to Use the Calculator

1. Enter the mean (μ) of your data set.
2. Enter the standard deviation (σ) of your data set.
3. Enter the sample size (n) of your data set.
4. Click the "Calculate" button to compute the Z-score.
5. The Z-score will be displayed in the result field.

Understanding the Z-Score

The Z-score measures how many standard deviations an element is from the mean. A positive Z-score indicates the element is above the mean, while a negative Z-score indicates it is below the mean. The formula used is:

Z = (X - μ) / (σ / √n)

Where:

• Z = Z-score
• X = Value
• μ = Mean
• σ = Standard Deviation
• n = Sample Size

Example

Suppose you have a data set with a mean of 50, a standard deviation of 5, and a sample size of 100. To find the Z-score for a value of 60:

1. Enter 50 in the Mean field.
2. Enter 5 in the Standard Deviation field.
3. Enter 100 in the Sample Size field.
4. Click "Calculate".

The result will be 2.00, indicating that 60 is 2 standard deviations above the mean.