Math Tool

Statistics & Mean / Median / Mode

Compute mean, median, standard deviation, and variance for data sets.

Input Parameters

Calculation Results

Mean (Average)
30
Median
27.5
Standard Deviation
14.4338
Variance
208.3333
Count (N)
6
Sum
180
Min / Max
10 / 55
Range
45
Summary: Analyzed 6 values. Mean = 30, Median = 27.5, Std Dev = 14.43.

Formula & How Statistics & Mean / Median / Mode Works

Mathematical Formula
Mean = Σx / N, StdDev = √(Σ(x - μ)² / N)

Mean is the arithmetic average. Median is the middle score in a sorted list. Standard deviation measures data dispersion around the mean.

How to Calculate Statistics & Mean / Median / Mode (Step-by-Step)
  1. Enter Enter Numbers (comma or space separated): Input your target parameter value.
  2. Apply Formula: Calculate using Mean = Σx / N, StdDev = √(Σ(x - μ)² / N).
  3. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is standard deviation?

A measure of how spread out numbers are from their average value.

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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