Understanding Mean, Median, Mode, and Range
When analyzing a set of numerical data, understanding its central tendency and spread is crucial. Mean, median, mode, and range are fundamental descriptive statistics that provide this insight.
How to Use
- Enter your dataset into the text box, separating numbers with commas, spaces, or new lines.
- Click "Calculate Statistics".
- The results will show the Count, Mean (Average), Median, Mode(s), and Range of your data.
Definitions
- Mean: The average of the numbers (Sum / Count). Sensitive to outliers.
- Median: The middle value when the numbers are sorted. If there's an even count, it's the average of the two middle numbers. Less sensitive to outliers than the mean.
- Mode: The number(s) that appear most frequently in the dataset. A dataset can have one mode (unimodal), multiple modes (multimodal), or no mode if all numbers appear only once.
- Range: The difference between the highest and lowest values in the dataset (Max - Min). Shows the spread of the data.
- Count: The total number of valid numerical values entered.
- Sum: The total when all valid numbers are added together.
Applications
These statistics are used widely in education, finance, science, quality control, and data analysis to summarize and understand datasets quickly.