Mean, Median and Mode Calculator
The mean is the sum divided by the count: 4, 8, 6, 5, 3, 8, 9, 5, 8 has mean 6.222222222, median 6 and mode 8.
Separate with commas or spaces.
6.22222222222222
Full answer, then cut to fewer decimals (not rounded):
- 6.22222222222222
- 6.2222222222222
- 6.222222222222
- 6.22222222222
- 6.2222222222
- 6.222222222
- 6.22222222
- 6.2222222
- 6.222222
- 6.22222
- 6.2222
- 6.222
- 6.22
- 6.2
- Median
- 6
- Mode
- 8
- Range
- 6
- Q1
- 4.5
- Q3
- 8
- Interquartile range
- 3.5
- Count
- 9
- Sum
- 56
- Sorted
- 3, 4, 5, 5, 6, 8, 8, 8, 9
Step-by-step solution
- Mean = sum ÷ count = 56 ÷ 9 = 6.222222222
- Median: middle of the sorted list = 6
- Mode: most frequent value(s) = 8
Mean, Median and Mode Formula
mean = Σx ÷ n
median: middle value of the sorted data; mode: most frequent value; range = max − min
Worked Example
The data 4, 8, 6, 5, 3, 8, 9, 5, 8:
- Mean = sum ÷ count = 56 ÷ 9 = 6.222222222
- Median: middle of the sorted list = 6
- Mode: most frequent value(s) = 8
Mode: 8 · Range: 6 · Q1: 4.5 · Q3: 8 · Interquartile range: 3.5 · Count: 9 · Sum: 56 · Sorted: 3, 4, 5, 5, 6, 8, 8, 8, 9
Test-day tip
A frequent SAT question removes or adds one value and asks which measure changes. Removing the largest value always lowers the mean and range, but may leave the median unchanged.
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Example: The proportion 3 : 4 = 15 : x: x = 20.
Frequently asked questions
How does an outlier affect the mean and median?
An outlier pulls the mean towards it but barely moves the median, so the median is the better centre for skewed data such as incomes.
How do I find the median of an even number of values?
Average the two middle values of the sorted list: the median of 2, 4, 6, 8 is (4 + 6)/2 = 5.
Sources
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Mean, Median and Mode Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/mean-median-mode-calculator/
IEEE
Scientific Converters, "Mean, Median and Mode Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/mean-median-mode-calculator/