Average Calculator

Calculate the mean, median, mode, and range of any data set instantly.

Enter Data Set

Data (8 values): 2, 4, 4, 4, 5, 5, 7, 9

Standard Deviation (s)

2.1381

Mean (Average)

5

Variance

4.5714

Median

4.5

Mode

4

Min / Max

2 / 9

Range

7

Average Calculator Formula & How It Works

Mean = ΣXᵢ / n | Median = middle value | Mode = most frequent value
  • Mean (Arithmetic Average): sum ÷ count
  • Median: middle value when sorted (or average of two middle values)
  • Mode: value that appears most frequently
  • Range: Maximum − Minimum

Mean is the most common 'average' but sensitive to outliers. Median is the middle value when sorted — more robust to outliers and better for skewed data (e.g., income). Mode is the most common value — useful for categorical data. Range measures spread.

Average Calculator FAQs

What is the difference between mean and median?

Mean = sum ÷ count — pulled toward extreme values. Median = middle value — unaffected by outliers. Example: incomes of $30K, $35K, $40K, $200K — mean is $76.25K but median is $37.5K. Median better represents 'typical' income here.

Can a data set have multiple modes?

Yes. Bimodal: two modes. Multimodal: three or more modes. No mode: when every value appears exactly once. Example: {1, 2, 2, 3, 3, 4} has two modes: 2 and 3.

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