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Mean, Median, and Mode

Three measures of central tendency used to describe the center of a data set.

These are the three most common ways to find the "center" of a data set:

  • Mean: The arithmetic average. Sum all values and divide by count.
  • Median: The middle value when data is sorted. Less affected by outliers.
  • Mode: The most frequently occurring value. A set can have no mode, one mode, or multiple modes.

Example

Data: 3, 7, 7, 2, 9

  • Mean: (3+7+7+2+9) Γ· 5 = 5.6
  • Median: Sort β†’ 2, 3, 7, 7, 9 β†’ middle value = 7
  • Mode: 7 appears most often = 7

When to Use Each

Use mean for symmetric data. Use median when there are outliers (e.g., income data). Use mode for categorical data (e.g., most popular color).

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