Mean, Median & Mode Calculator

Mean, Median & Mode is evaluated from Data Values. The calculation reports Mean, Median and Mode.

Results

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About the Mean, Median & Mode Calculator

Mean, Median & Mode is treated here as a quantitative relation between Data Values and Mean, Median, Mode and Range.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Mean = sum / n
Median = middle value (or average of two middle values)
Mode = most frequent value

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Mean = sum / n
Median = middle value (or average of two middle values)
Mode = most frequent value

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Test Scores

Inputs

data: 72, 85, 90, 85, 68, 92, 75, 85, 88
Mean: 82.222222. Median: 85. Mode: 85. Range: 24. Count: 9

With Data Values = 72, 85, 90, 85, 68, 92, 75, 85, 88 as the stated inputs, the result is Mean = 82.222222, Median = 85 and Mode = 85. Each value corresponds to the declared output fields.

Example 2: US Household Income Skew

Inputs

data: 35000, 42000, 48000, 51000, 55000, 62000, 68000, 250000
Mean: 76,375. Median: 53,000. Mode: No mode (all values unique). Range: 215,000. Count: 8

With Data Values = 35000, 42000, 48000, 51000, 55000, 62000, 68000, 250000 as the stated inputs, the result is Mean = 76,375, Median = 53,000 and Mode = No mode (all values unique). Each value corresponds to the declared output fields.

Example 3: Daily Sales Counts — Mode for Stocking

Inputs

data: 5, 3, 7, 5, 6, 5, 8, 4, 5, 6
Mean: 5.4. Median: 5. Mode: 5. Range: 5. Count: 10

With Data Values = 5, 3, 7, 5, 6, 5, 8, 4, 5, 6 as the stated inputs, the result is Mean = 5.4, Median = 5 and Mode = 5. Each value corresponds to the declared output fields.

Example 4: Temperature Readings

Inputs

data: 68, 72, 75, 71, 69, 73, 74, 70, 72
Mean: 71.555556. Median: 72. Mode: 72. Range: 7. Count: 9

With Data Values = 68, 72, 75, 71, 69, 73, 74, 70, 72 as the stated inputs, the result is Mean = 71.555556, Median = 72 and Mode = 72. Each value corresponds to the declared output fields.

Common Use Cases

  • Find the average of a dataset
  • Identify the most frequent value (mode)
  • Find the middle value (median) of sorted data
  • Calculate range and midrange