Statistics Summary Calculator

Complete statistical summary

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About Statistics Summary Calculator

A comprehensive statistics summary calculator that computes central tendency (mean, median, mode), spread (range, variance, standard deviation, IQR), quartiles (Q1, Q2, Q3), and shape (skewness, kurtosis). Handles any dataset size. All calculations are client-side. Essential for data analysis, research, and statistics education.

Statistics Summary Calculator Features

  • Mean/median/mode
  • Quartiles/IQR
  • Variance/SD
  • Skewness
  • Kurtosis
Descriptive statistics summarize data with numbers. Central tendency: mean (average), median (middle), mode (most frequent). Spread: range (max−min), IQR (Q3−Q1), variance, standard deviation. Shape: skewness (symmetry), kurtosis (tail heaviness). The five-number summary: min, Q1, median, Q3, max.

How to Use

Enter your data:

  • Input: Comma-separated numbers
  • Central: Mean, median, mode
  • Spread: Range, SD, IQR

Five-Number Summary

  • Minimum
  • Q1 (25th percentile)
  • Median (50th percentile)
  • Q3 (75th percentile)
  • Maximum

Distribution Shape

  • Skewness = 0: symmetric
  • Skewness > 0: right-skewed
  • Skewness < 0: left-skewed
  • Kurtosis = 3: normal (mesokurtic)

Step-by-Step Instructions

  1. 1Enter data values.
  2. 2View central tendency.
  3. 3Check spread measures.
  4. 4See five-number summary.
  5. 5Examine skewness and kurtosis.

Statistics Summary Calculator — Frequently Asked Questions

When should I use mean vs median?+

Median for skewed data or outliers (income, house prices). Mean for symmetric data without outliers. Mode for categorical data (most popular color).

What does IQR tell me?+

The interquartile range (Q3−Q1) spans the middle 50% of data. Values > Q3+1.5×IQR or < Q1−1.5×IQR are potential outliers.

What is kurtosis?+

Kurtosis measures tail heaviness. Normal distribution has kurtosis 3 (excess kurtosis 0). Higher kurtosis = heavier tails = more outliers. Lower = lighter tails.

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