# How To Calculate Z Score From Percentage?

| Last update: 27 December 2023

Understanding statistical measures like the Z score can be crucial in various fields, including physics. In this article, we’ll delve into the process of calculating the Z score from a percentage, breaking down the steps and providing examples for clarity.

## Calculating Z Score from Percentage

Step 1: Convert Percentage to Decimal To start, convert the given percentage to a decimal. For instance, if you have 25%, convert it to 0.25.

Step 2: Determine Positive or Negative Z Value

• If the decimal is greater than 0.5, expect a positive Z value.
• If it’s less than 0.5, expect a negative Z value.

Step 3: Find the Corresponding Z Value Use a standard Z score table to find the Z value corresponding to the calculated decimal. If you encounter multiple close values, choose the one closer to a specific point (e.g., 0.25) or interpolate for better precision.

### Examples:

1. If given 25%, convert to 0.25. Since 0.25 < 0.5, expect a negative Z value. From the table, the Z score is approximately -0.67.
2. For 5%, convert to 0.05. Since 0.05 < 0.5, expect a negative Z value. The corresponding Z score from the table might be around -1.64.

## FAQs on Z Score from Percentage:

### What is the Z-score of 25%?

The Z score of 25% is approximately -0.67.

### How do you find the Z-score of 5%?

The Z score of 5% is around -1.64.

### How do you find the Z-score from a percentile?

Follow the steps mentioned earlier, converting the percentile to a decimal and finding the Z score from a standard table.