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Statistics Calculator

Enter a series of numbers separated by a comma or space to instantly discover its descriptive data profile, including measures of central tendency.

Descriptive Statistics

Enter numbers separated by commas or spaces.

Mean (Average)

18

Median

15.5000

Mode

None

Range

38

Sum

108

Count (n)

6

Min / Max

4 / 42

Geometric Mean

13.9655

Understanding Descriptive Statistics

Descriptive statistics are summary coefficients that allow us to comprehend a large volume of data in a simplified form. They do not allow us to draw conclusions beyond the data we have analyzed or reach conclusions regarding any hypotheses, but they are a powerful tool for discovering patterns.

The Three Measures of Central Tendency

  • Mean (Average): The most common metric. It is calculated simply by adding up all the numbers in the dataset and then dividing the cumulative sum by the total count of numbers.
  • Median: The exact middle value when the data set is ordered sequentially from least to greatest. If there is an even total count, the median is the average of the two middlemost numbers. The Median is highly resistant to extreme outliers in your data (like a single billionaire skewing neighborhood income data).
  • Mode: The value that appears most frequently in a data set. A data set may have one mode (unimodal), multiple modes (bimodal or multimodal), or no mode at all if every value occurs equally.

Measures of Dispersion

The Range calculates the difference between the absolute highest value (Maximum) and absolute lowest value (Minimum) in your set. This immediately visualizes the spread and volatility of the provided data points.

Geometric Mean: Provided as an advanced metric, the geometric mean indicates the central tendency by using the product of their values (as opposed to the sum like the arithmetic mean). This is incredibly useful for calculating compounded growth rates and investment returns over time. It only works on strictly positive datasets.