Statistics Calculator

Calculate comprehensive statistics for your data

Enter Data

Enter numbers separated by commas

Statistics Results

Count:10
Sum:275.00
Mean:27.50
Median:27.50
Mode:5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Standard Deviation:14.36
Variance:206.25
Range:45.00
Min:5.00
Max:50.00
Q1 (25th percentile):15.00
Q3 (75th percentile):40.00
IQR (Interquartile Range):25.00

About This Calculator

The Statistics Calculator provides comprehensive statistical analysis of your data. It calculates measures of central tendency (mean, median, mode), measures of spread (range, standard deviation, variance), and quartiles (Q1, Q3, IQR).

This tool is essential for students, researchers, and professionals who need to analyze data sets. Simply enter your data values separated by commas, and the calculator will compute all common statistical measures.

Formula & Calculation Method

Statistics formulas:

  • Mean (Average): μ = Σx / n
  • Variance: σ² = Σ(x - μ)² / n
  • Standard Deviation: σ = √σ²
  • Median: Middle value when data is sorted
  • Mode: Most frequently occurring value(s)
  • Range: Maximum - Minimum
  • Q1 (First Quartile): 25th percentile
  • Q3 (Third Quartile): 75th percentile
  • IQR (Interquartile Range): Q3 - Q1

How to Use This Calculator

Frequently Asked Questions

What is the difference between mean, median, and mode?

Mean is the average (sum divided by count). Median is the middle value when data is sorted. Mode is the most frequently occurring value(s). Mean is sensitive to outliers, while median is more robust.

What is standard deviation?

Standard deviation measures how spread out the data is from the mean. A low standard deviation means data points are close to the mean, while a high standard deviation means they are spread out.

What are quartiles?

Quartiles divide data into four equal parts. Q1 (first quartile) is the 25th percentile, Q2 is the median (50th percentile), and Q3 (third quartile) is the 75th percentile. IQR (interquartile range) is Q3 - Q1.

How do I interpret the results?

Mean shows the average value. Median shows the middle value. Standard deviation shows data spread. A large standard deviation indicates high variability. Quartiles help identify outliers and data distribution.

Related Calculators

Standard Deviation
Mean, Median, Mode
Probability Calculator
Z-Score Calculator

Calculator by

Prof. Emily Watson, PhD

PhD in Applied MathematicsStatistics Certification

Updated Jan 2024