Calculate the mean (average), median (middle value), and mode (most common) of a data set. Includes frequency distribution and range analysis.
Mean (Average)
6.2000
sum ÷ count
Median (Middle)
6.5000
position 5
Mode
8
Unimodal
Mean (Average)
6.2000
sum ÷ count
Parsed 10 numbers
6.20
Mean
6.50
Median
8
Mode
8.00
Range
Purple bars indicate the mode(s).
Mean = Sum ÷ Count = 62.00 ÷ 10 = 6.2000
With 10 values (even), the median is the average of positions 5 and 6
Median = 6.5000
8 appears 3 times
Mode = 8
Range = Max - Min = 10 - 2 = 8.00
| Value | Frequency | Relative (%) | Cumulative (%) |
|---|---|---|---|
| 2 | 1 | 10.0% | 10.0% |
| 4 | 2 | 20.0% | 30.0% |
| 5 | 1 | 10.0% | 40.0% |
| 6 | 1 | 10.0% | 50.0% |
| 7 | 1 | 10.0% | 60.0% |
| 8 | 3 | 30.0% | 90.0% |
| 10 | 1 | 10.0% | 100.0% |
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Mean = sum of all values divided by count. Median = middle value when sorted (or average of two middle values if even count). Mode = most frequently occurring value. For data [3,5,5,7,9]: Mean = (3+5+5+7+9)/5 = 5.8. Median = 5 (middle value). Mode = 5 (appears twice). A data set can have no mode, one mode (unimodal), or multiple modes (bimodal/multimodal).
Mean, median, and mode are the three main measures of central tendency in statistics. Mean is the average of all values, median is the middle value when sorted, and mode is the most frequently occurring value.
Mean = sum of all values divided by count. Median = middle value when sorted (or average of two middle values if even count). Mode = most frequently occurring value. For data [3,5,5,7,9]: Mean = (3+5+5+7+9)/5 = 5.8. Median = 5 (middle value). Mode = 5 (appears twice). A data set can have no mode, one mode (unimodal), or multiple modes (bimodal/multimodal).
The mean (average) is the sum of all values divided by the number of values. For example, the mean of 2, 4, 6 is (2+4+6)/3 = 4. The mean is sensitive to outliers - extreme values can significantly affect it.
The median is the middle value when numbers are sorted. For odd counts, it's the exact middle. For even counts, it's the average of the two middle values. The median is resistant to outliers, making it useful for skewed data.
The mode is the most frequently occurring value. A dataset can have no mode (all values unique), one mode (unimodal), or multiple modes (multimodal). For example, in 1,2,2,3,3, both 2 and 3 are modes.
Use the mean for symmetric data without outliers. Use the median when data is skewed or has outliers (like income, house prices). For example, median household income is preferred because a few billionaires would skew the mean.
The range is the difference between the maximum and minimum values. It gives a simple measure of spread but is sensitive to outliers. For a more robust measure of spread, consider interquartile range or standard deviation.
Last updated: 2025-01-15
Mean (Average)
6.2000
sum ÷ count
Median (Middle)
6.5000
position 5
Mode
8
Unimodal