Mean/Median/Mode Calculator
Calculate mean, median, mode.
데이터 수: 8개
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Overview
The Mean/Median/Mode Calculator computes the central tendency measures of a data set. It calculates the arithmetic mean, median, and mode together to provide a comprehensive understanding of the data's characteristics.
Formula
Arithmetic Mean: x̄ = (x₁ + x₂ + ... + xₙ) / n = Σxᵢ / n Median: Sort data in ascending order, then: If n is odd: middle value = x₍(n+1)/2₎ If n is even: average of two middle values = (x₍n/2₎ + x₍n/2+1₎) / 2 Mode: The most frequently occurring value (can be multiple or none)
How to Use
- 1Enter data values separated by commas or spaces.
- 2The arithmetic mean, median, and mode are all calculated at once.
- 3The range (max - min) and data count are also displayed.
Tips
- ✔When outliers are present, the median is more representative than the mean.
- ✔There can be no mode (all values appear once) or multiple modes.
- ✔For a normal distribution, mean ≈ median ≈ mode.
FAQ
Q. Which should I use — mean, median, or mode?
Use the median when there are many outliers, the mode for categorical data, and the mean for symmetric distributions with few outliers. For skewed data like income, the median provides a more realistic representative value.
Q. Why are average income and median income different?
A few high earners pull the average up significantly. For example, if 9 of 10 people earn $30,000 and one earns $10 million, the average is about $1.03 million but the median is $30,000.
Q. What is a weighted mean?
A mean where each data point has an assigned weight (importance). Weighted mean = Σ(wᵢ × xᵢ) / Σwᵢ. It is used in GPA calculations (grade × credit hours) and price index computations.
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