Deviation Calculator

How to Use the Statistical Deviation Calculator

The Statistical Deviation Calculator helps you to calculate several statistical metrics such as mean, variance, standard deviation, and more. Follow this step-by-step guide to effectively use the calculator.

Step 1: Enter Your Data

• Locate the field labeled Enter Number.
• Input your numbers one at a time into this field. It is important that each number is entered separately.
• Press the Add button after entering each number to add it to your dataset. Ensure that all required numbers are added before proceeding to calculations.
• This input field requires entry of valid numbers. The placeholder text will guide you to Enter a number and press Add.

Step 2: Select the Calculation Type

• Locate the field labeled Calculation Type.
• This field provides two options through a dropdown menu: Population (σ) and Sample (s).
• Select Population if you have data from an entire group or Sample if your data represents just a part of the larger group.

Step 3: Review the Results

Once your data is entered and the calculation type is selected, the calculator will automatically compute the following statistical measures with precise formatting:

• Mean (Average): This is calculated as the sum of data divided by the number of data points. It will be presented up to four decimal places.
• Variance: Depending on your choice of calculation type, variance is calculated differently. For population, it uses the formula: sum((data – mean)^2) / length(data). For sample data, the formula is: sum((data – mean)^2) / (length(data) – 1). The result is displayed up to four decimal places.
• Standard Deviation: This shows how much variation there is from the mean. Calculated as the square root of variance, it is shown with four decimal precision.
• Coefficient of Variation: This tells you the extent of variability in relation to the mean, expressed as a percentage and given up to two decimal places.
• Number of Values: This simply represents the count of numbers you entered, shown as a whole number.
• Minimum Value: The smallest value in your dataset, formatted to four decimal places.
• Maximum Value: The largest value, also displayed to four decimal places.
• Range: The difference between the maximum and minimum values, indicated up to four decimal precision.

With these steps, you are now fully equipped to use the Statistical Deviation Calculator to analyze your data and understand the variability of your dataset.