Mode Calculator

Mode is evaluated from Number 1, Number 2 and Number 3. The calculation reports Mode, Modal Frequency and Distribution Type.

Results

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About the Mode Calculator

Mode is treated here as a quantitative relation between Number 1, Number 2, Number 3 and Number 4 and Mode, Modal Frequency and Distribution Type.

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:
Count frequency of each value. Mode = value(s) with highest frequency.

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:

Count frequency of each value. Mode = value(s) with highest frequency.

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: 85, 92, 85, 78, 92, 85, 95, 72

Inputs

n1: 85 n2: 92 n3: 85 n4: 78 n5: 92 n6: 85 n7: 95 n8: 72
Modal Frequency: 3 times. Distribution Type: Multimodal (0 modes)

With Number 1 = 85, Number 2 = 92, Number 3 = 85 and Number 4 = 78 as the stated inputs, the result is Modal Frequency = 3 times and Distribution Type = Multimodal (0 modes). Each value corresponds to the declared output fields.

Example 2: Shoe sizes sold: 8, 9, 10, 9, 8, 11, 9, 8, 10, 12

Inputs

n1: 8 n2: 9 n3: 10 n4: 9 n5: 8 n6: 11 n7: 9 n8: 8 n9: 10 n10: 12
Modal Frequency: 3 times. Distribution Type: Multimodal (0 modes)

With Number 1 = 8, Number 2 = 9, Number 3 = 10 and Number 4 = 9 as the stated inputs, the result is Modal Frequency = 3 times and Distribution Type = Multimodal (0 modes). Each value corresponds to the declared output fields.

Example 3: Family size survey: 2, 3, 2, 4, 2, 3, 5, 3, 2, 1

Inputs

n1: 2 n2: 3 n3: 2 n4: 4 n5: 2 n6: 3 n7: 5 n8: 3 n9: 2 n10: 1
Modal Frequency: 4 times. Distribution Type: Multimodal (0 modes)

With Number 1 = 2, Number 2 = 3, Number 3 = 2 and Number 4 = 4 as the stated inputs, the result is Modal Frequency = 4 times and Distribution Type = Multimodal (0 modes). Each value corresponds to the declared output fields.

Example 4: All unique values: 10, 20, 30, 40, 50

Inputs

n1: 10 n2: 20 n3: 30 n4: 40 n5: 50
Modal Frequency: 6 times. Distribution Type: Multimodal (0 modes)

With Number 1 = 10, Number 2 = 20, Number 3 = 30 and Number 4 = 40 as the stated inputs, the result is Modal Frequency = 6 times and Distribution Type = Multimodal (0 modes). Each value corresponds to the declared output fields.

Common Use Cases

  • Find the most frequent value in a dataset
  • Identify bimodal or multimodal distributions
  • Calculate mode for categorical or discrete data