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Statistics Calculator

Calculate mean, median, mode, standard deviation, and other statistical measures

Data Input

Separate numbers with commas, spaces, or new lines

Statistical Results

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Enter data to calculate statistics
Your statistical analysis will appear here

Quick Examples

Simple Dataset
10, 12, 14, 16, 18, 20
Mean: 15, Median: 15, Range: 10
Test Scores
85, 90, 78, 92, 88, 85, 79, 94, 87, 81
Mean: 85.9, StdDev: 5.24
Survey Ratings
5, 7, 3, 9, 5, 8, 6, 4, 7, 5, 6, 8
Mode: 5, Median: 6
Decimal Values
1.5, 2.3, 1.8, 2.1, 1.9, 2.4, 1.7, 2.0, 1.6, 2.2
Mean: 1.95, Range: 0.9
Click any example to load the data and see the statistical analysis

Understanding Statistics

What is Statistics?

Statistics is the science of collecting, organising, and interpreting data to make informed decisions. Whether you're analysing test scores, sales figures, or research data, statistics helps you understand what your numbers really mean.

Central Tendency Explained

  • Mean (average): Add all values, divide by count - affected by outliers
  • Median (middle): Sort values, pick the middle one - robust to outliers
  • Mode (most common): Value that appears most often - useful for categories
  • When to use which: Mean for normal data, median for skewed data

Spread and Variability

  • Range: Max minus min - shows full data span
  • Standard deviation: Average distance from mean - most important spread measure
  • Variance: Squared standard deviation - used in many calculations
  • IQR: Middle 50% of data - less affected by outliers

Data Distribution Insights

The five-number summary (min, Q1, median, Q3, max) tells the complete story of your data distribution. Quartiles divide your data into four equal parts, helping you understand where most values cluster.

Real-World Applications

  • Education: Analyse test scores to identify learning gaps
  • Business: Track sales performance, customer satisfaction scores
  • Healthcare: Monitor patient vital signs, treatment effectiveness
  • Quality control: Ensure products meet specifications consistently

Data Input Made Easy

  • Flexible formats: Commas, spaces, or line breaks all work
  • Any numbers: Integers, decimals, negatives, scientific notation
  • Auto-sorting: Use the sort button to arrange data
  • Duplicate removal: Clean your data with one click

Statistical Analysis Tips

  • Compare mean vs median: Big difference means skewed data
  • Check the range: Large range might indicate outliers
  • Standard deviation rule: ~68% of data within 1 SD of mean
  • Sample size matters: More data gives more reliable results