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Statistics Calculator

Enter any data set and instantly get Mean, Median, Mode, Range, Variance and Standard Deviation — with full step-by-step working and a frequency bar chart.

Mean x̄MedianModeRangeVariance σ²SD σ

💡 Separate values with commas or spaces — up to 200 numbers.

Quick examples:

9 values detected

📐 Central Tendency

  • Mean — sum ÷ count; sensitive to outliers
  • Median — middle value; robust to outliers
  • Mode — most frequent; can be multiple or none
  • For symmetric data: Mean ≈ Median ≈ Mode

📏 Spread / Dispersion

  • Range = Max − Min (simple, but outlier-affected)
  • Variance σ² = avg squared deviation from mean
  • SD σ = √Variance; same unit as data
  • Low SD → data close to mean; High SD → spread out

📦 Quartiles & IQR

  • Q1 — 25th percentile (lower quartile)
  • Q3 — 75th percentile (upper quartile)
  • IQR = Q3 − Q1; the middle 50% of data
  • Outlier check: value < Q1 − 1.5×IQR or > Q3 + 1.5×IQR