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Average Calculator

Calculate mean, median, mode, range, and standard deviation. Enter any set of numbers for complete statistical analysis.

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How to Calculate Average

Enter numbers separated by commas, spaces, or new lines. This calculator provides multiple measures of central tendency.

Statistical Measures

  • Mean: Sum of values ÷ count (arithmetic average)
  • Median: Middle value when data is sorted
  • Mode: Most frequently occurring value(s)
  • Range: Difference between max and min

When to Use Each

  • Mean: General purpose, symmetric data
  • Median: Skewed data, outliers present
  • Mode: Categorical data, finding common values

Standard Deviation

Measures data spread around the mean. In a normal distribution:

  • 68% of data is within 1 SD of the mean
  • 95% of data is within 2 SDs of the mean
  • 99.7% of data is within 3 SDs of the mean

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Frequently Asked Questions

What is the difference between mean and median?

Mean is the sum divided by count (average). Median is the middle value when sorted. Median is less affected by extreme values.

When should I use median instead of mean?

Use median when data has outliers or is skewed. For example, median income is more representative than mean income.

What is mode?

Mode is the most frequently occurring value in a dataset. A dataset can have multiple modes or no mode.

What does standard deviation tell me?

Standard deviation measures how spread out the data is from the mean. Low SD means data is clustered near the mean.