Average Calculator – Mean, Median & Mode

The arithmetic mean divides the sum by the count: for 4, 8, 15, 16 and 23 the total is 66, so x̄ = 66/5 = 13.2. The median is the middle of the sorted list — 15 here — and it resists outliers: replace 23 with 230 and the median stays 15 while the mean jumps to 54.6. The mode is the most frequent value, most useful for categorical data such as survey answers. For an even count, e.g. 3, 7, 8, 12, the median is the average of the two middle values (7+8)/2 = 7.5. The calculator returns all three plus count, sum, and the deviations from the mean, which always total zero (−9.2, −5.2, 1.8, 2.8, 9.8 for the example).

1. 1

   Paste your numbers

   Enter values separated by commas, spaces or newlines

2. 2

   Compute the mean

   Sum every value and divide by the count n

3. 3

   Sort for the median

   Find the middle value, or the average of the two middle values

4. 4

   Count frequencies

   Identify the mode as the most repeated value

• 1

  A single outlier can drag the mean but barely moves the median

• 2

  For even n the median is the mean of the two central values

• 3

  Data can have no mode, or several when frequencies tie

• Forgetting to sort before picking the median of 8, 3, 15, 7

• Dividing by the wrong n after pasting duplicate or blank values

• Reporting a mean for heavily skewed data where the median tells the story

• Expecting the mode to exist — 4, 8, 15, 16, 23 has no repeated value