**1. Steps to Use the Tool:**

**Enter Data Value**: Input the value of the data point you want to calculate the Z-score for.**Enter Mean**: Input the mean of the dataset.**Enter Standard Deviation**: Input the standard deviation of the dataset.**Calculate Z-Score**: Click on the "Calculate Z-Score" button.**View Result**: The calculated Z-score will be displayed below the button.

**2. Information about the Tool:**

**Purpose**: The Z-score Calculator is designed to compute the Z-score of a data point given the mean and standard deviation of a dataset.**Functionality**: It calculates the Z-score using the formula: 𝑍=𝑋−𝜇𝜎*Z*=*σ**X*−*μ*, where 𝑋*X*is the data value, 𝜇*μ*is the mean, and 𝜎*σ*is the standard deviation.**Input Requirements**: Requires valid numerical values for the data value, mean, and standard deviation. Standard deviation must be greater than zero.**Output**: Provides the Z-score of the data point.

**3. Benefits of Using this Tool:**

**Quick Calculation**: Rapidly computes the Z-score without manual calculations.**Accuracy**: Ensures accurate Z-score calculation based on input values.**Convenience**: Offers an easy-to-use interface for inputting data and obtaining results.**Useful in Statistics**: Helpful for analyzing the position of a data point relative to the mean in a dataset.

**4. FAQ (Frequently Asked Questions):**

**Q: What does the Z-score indicate?**- A: The Z-score represents how many standard deviations a data point is from the mean in a dataset.

**Q: Can I input negative values for mean and standard deviation?**- A: Yes, negative values are accepted as long as they are valid numerical inputs.

**Q: What if the standard deviation is zero or negative?**- A: The tool will prompt you to enter a valid positive value for the standard deviation.

**Q: Is there a limit to the number of decimal places in the result?**- A: The Z-score result is displayed with two decimal places for precision.

This tool is beneficial for statisticians, researchers, and students needing to calculate the Z-score of individual data points within a dataset.

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