Math · 7 min read

Average versus median: choosing the useful center

Understand why the mean and median tell different stories about salaries, prices, grades, and datasets.

This MayeleCalc guide explains the concept in plain language so you can use the related calculator with better context and confidence. Work through each section, review the practical example, and check the common mistakes before applying the result.

01

The mean uses every value

Add all observations and divide by their count. The mean reflects total magnitude but can move sharply when one value is unusually high or low.

02

The median uses position

Sort the values and find the middle observation. For an even count, average the two middle observations. The median is less sensitive to extremes.

03

Outliers change interpretation

A few very large salaries can raise the average above what most workers earn. Showing both mean and median often provides a clearer description.

04

Match the measure to the question

Use the mean when every value should influence the result and the distribution is balanced. Use the median when a typical position matters more.

Practical example

See the idea in action

Write the known values and identify the denominator before using a percentage. For a $20 profit on a $70 sale, margin is 20 ÷ 70 × 100 = 28.57%, while markup is 20 ÷ 50 × 100 = 40%.

Common mistakes to avoid

  • ×Using the wrong value as the denominator
  • ×Mixing a percentage with a decimal rate
  • ×Rounding too early in a multi-step calculation

Key takeaways

  • Name each value before choosing the formula
  • Keep full precision until the final answer
  • Use a second method to check important results

Put the idea into practice

Open the calculator library, choose the relevant tool, and compare realistic scenarios using the method from this guide.

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