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math.mean-median-mode Calculator
Calculates mean, median, mode, and the relationships between them for a dataset, flagging skew from the mean-median gap. When mean > median, the distribution is right-skewed; when mean < median, left-skewed — this is how income distributions are characterised.
Inputs
V1
Reference formula or conversion factor shown for context.
V2
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V3
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V4
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V5
Reference formula or conversion factor shown for context.
Results
mean
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
median
The middle value of the sorted dataset.
mode
The most frequently occurring value.
range
The difference between the maximum and minimum values.
standard deviation
Average spread of values around the mean. In a normal distribution: 68% within ±1 SD, 95% within ±2 SD, 99.7% within ±3 SD. Large SD = widely spread data; small SD = tightly clustered.