CI Standard deviation

This tool calculates key statistical measures—mean, variance, and standard deviation—for any discrete data set. It is designed for students, researchers, and analysts who need to understand data variability and verify their manual calculations.

• Step-by-Step Calculations: The tool doesn't just give the final answer. It shows every intermediate step, from calculating the mean to summing squared deviations, making it an effective learning aid.
• Sample and Population Modes: You can select whether your data is a sample or an entire population. The calculator automatically applies the correct formula (dividing by n-1 for samples, n for populations) to ensure statistical accuracy.
• Flexible Data Input: Enter your numbers separated by commas, spaces, or line breaks. The calculator processes the list regardless of the formatting mix, saving time on data preparation.
• Complete Statistical Summary: In addition to standard deviation, it provides the count, mean, sum of squares, and variance, giving a full picture of your data's distribution in one view.