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Enter data

Tip: Use commas, spaces, or new lines for list input. Frequency mode is great when values repeat a lot.

Allowed separators: comma, space, tab, or new line. We ignore empty entries.

Options

Sample SD is most common in classes unless you’re told the data is the whole population.

If blank, we choose bins automatically (Sturges-like). Min 3, max 20.

If provided, results are rounded to this many decimals (0–12).

Chips prefill and calculate immediately.

Result

No results yet. Enter data and click Calculate.

How to use this calculator

  • Choose List or Frequency table.
  • Enter your data (paste numbers or pairs like value:frequency).
  • Click Calculate to get mean, median, mode, plus optional outliers, spread, and histogram.

How this calculator works

  • Mean: sum of values divided by count.
  • Median: the middle value(s) after sorting (or the middle position in a frequency table).
  • Mode: the most frequent value(s). There may be none or multiple modes.
  • Skew (quick hint): mean > median suggests right-skew; mean < median suggests left-skew.

Formula & Equation Used

Mean: x̄ = (Σx)/n

Median (odd n): middle value after sorting

Median (even n): average of the 2 middle values

Mode: value(s) with maximum frequency

Example Problem & Step-by-Step Solution

Example 1 — List input

Dataset: 7, 3, 3, 10, 12

  1. Sort: 3, 3, 7, 10, 12
  2. Mean: (7+3+3+10+12)/5 = 35/5 = 7
  3. Median: the middle value is 7
  4. Mode: 3 occurs most often → mode is 3

Example 2 — Frequency table

Values: 5:3, 6:1, 7:2

  1. Total count: n = 3+1+2 = 6
  2. Mean: (5·3 + 6·1 + 7·2)/6 = (15+6+14)/6 = 35/6 ≈ 5.833
  3. Median: positions 3 and 4 → median is (5+6)/2 = 5.5
  4. Mode: max frequency is 3 at value 5 → mode is 5

Example 3 — Outlier effect (mean vs median)

Dataset: 2, 2, 2, 3, 100

  1. Sort: 2, 2, 2, 3, 100
  2. Mean: (2+2+2+3+100)/5 = 109/5 = 21.8
  3. Median: middle value is 2
  4. Mode: 2 occurs most often → mode is 2
  5. Takeaway: the outlier (100) pulls the mean far above the median.

Frequently Asked Questions

Q: Can there be more than one mode?

Yes. If two or more values share the same highest frequency, the dataset is multimodal.

Q: What if all numbers occur the same number of times?

Then there’s no mode (no value is more frequent than the others).

Q: Why is the mean different from the median?

Outliers pull the mean. The median is based only on position after sorting, so it’s less affected by extreme values.