Sample Variance Calculator

This Sample Variance Calculator allows users to enter numerical data points to compute the mean, sum of squared differences, sample variance, and standard deviation with precise formatting.

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Step-by-Step Guide to Using the Sample Variance Calculator

This guide will help you use the Sample Variance Calculator by explaining each step needed to calculate the mean, sum of squared differences, sample variance, and standard deviation.

Step 1: Understanding the Input Fields

Before you start entering data, it is essential to understand the input fields available in the calculator:

  • Number of Data Points: This field requires you to enter the total number of data points. It must be a number between 2 and 100.
  • Value 1 and Value 2: These are mandatory fields where you need to input the first and second values of your data set.
  • Value 3, Value 4, and Value 5: These fields are optional. You can enter additional values if needed, depending on the size of your data set.

Step 2: Enter Data Points

Follow these instructions to enter your data:

  • In the Number of Data Points field, type the total number of values you are going to input. Ensure it matches the number of values you provide.
  • Enter the actual data points in the Value 1 and Value 2 fields as they are required. Enter additional data points in the optional fields as applicable to your data set.
  • Make sure that the number of data points matches your entry in the Number of Data Points field.

Step 3: Calculate and Interpret the Results

After entering all data points, review the following results generated by the calculator:

  • Mean (Average): The calculator computes the mean using all provided data points.
  • Sum of Squared Differences: It calculates how each point differs from the mean in squared terms, and then sums these squared differences.
  • Sample Variance: Based on the sum of squared differences, the variance is computed by dividing by one less than the total number of data points.
  • Sample Standard Deviation: This is the square root of the sample variance and gives a measure of how spread out the data values are.

The results for the mean, sum of squared differences, sample variance, and standard deviation are displayed with up to four decimal places for precision.