Average Calculator

Mean, median and mode of a list of numbers.

Overview

Calculates the arithmetic Mean, Median, Mode, Range, and geometric average across any numerical data series with step-by-step working.

Formula & Calculation Method

Arithmetic Mean = Sum(x_i) / n | Median = Middle Value (or average of two middle values) when sorted

Mean evaluates arithmetic center; Median finds the 50th percentile midpoint resilient against extreme statistical outliers.

Worked Example: Dataset of 5 Exam Scores (75, 80, 85, 90, 100)

Inputs: Numbers: 75, 80, 85, 90, 100 (Count n = 5)

  • Sum of values = 75 + 80 + 85 + 90 + 100 = 430
  • Mean average = 430 / 5 = 86.0
  • Median = 85.0 (the 3rd number in sorted sequence)
  • Range = 100 - 75 = 25

Summary: Mean = 86.0 | Median = 85.0 | Range = 25 | Sum = 430

Common Use Cases

  • Academic Evaluation: Compute student term averages across quizzes, assignments, and semester exams.
  • Statistical Research: Evaluate central tendency metrics across experimental sample cohorts.
  • Salary Benchmarking: Determine median company compensation levels free from executive outlier distortion.

Frequently Asked Questions

When should I use Median instead of Mean?

Use the Median when your data has extreme outliers or is heavily skewed, as the Median is unaffected by extreme high or low values.

What is the Mode?

The value that appears most frequently in a dataset; if all numbers appear with equal frequency, there is no mode.

How is the Median calculated for an even number of values?

Sort the list, locate the two middle values, and calculate their arithmetic mean.

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