Mean Median Mode 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.

• 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.

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.