How to Calculate Mean Median Mode B14
What is Mean Median Mode B14?
Mean, median, and mode are measures of central tendency — they describe the "centre" of a dataset. Each is useful in different situations: mean for symmetric data, median for skewed data, mode for categorical data.
Formula
Mean = Σx / n | Median = middle value when sorted | Mode = most frequent value
- x
- Data Value (various)
- n
- Number of Values (count)
- M
- Mean, Median, or Mode (same as data)
Step-by-Step Guide
- 1Mean = Sum of all values ÷ Count
- 2Median = middle value when sorted (or average of two middle values)
- 3Mode = most frequently occurring value
- 4Range = Maximum − Minimum
Worked Examples
Input
{4, 7, 13, 2, 1, 7, 4, 7}
Result
Mean=5.625, Median=5.5, Mode=7, Range=12
Frequently Asked Questions
When should I use mean vs median?
Use mean for symmetric data. Use median for skewed data or when outliers exist. Median is resistant to extreme values.
What if there's no mode?
If all values appear equally often (no repeat), the dataset is "amodal" — there is no mode.
Can mean, median, and mode be the same value?
Yes! In a perfectly symmetric distribution, all three are identical. This is ideal for normally distributed data.