Descriptive Statistics Calculator
Calculate Summary Statistics with Step-by-Step Derivation
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Central Tendency
Dispersion
Quartiles
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Descriptive Statistics Formulas
Mean = Σx / n
Sample variance = Σ(x-mean)² / (n-1)
Range = max - min
IQR = Q3 - Q1
Descriptive statistics help understand your data's central tendency, spread, and shape!
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Ensure you have at least 2 data points for meaningful statistics.
What are Descriptive Statistics?
Descriptive statistics are used to summarize and describe the main features of a dataset.
Central Tendency
Mean, median, mode
Dispersion
Variance, standard deviation
💡 Example: Data [10,15,18,20,20,25,28,30,32,35] → mean=23.3, median=22.5, mode=20
Applications
Data Analysis
Statistics
Research
Business
Education
Frequently Asked Questions
What are descriptive statistics?▼
Descriptive statistics summarize and describe main features of dataset numerically/graphically.
Mean vs median vs mode?▼
Mean: average, Median: middle value, Mode: most frequent value.
Variance vs standard deviation?▼
Variance: average squared deviation, Standard deviation: square root of variance, same units as data.
What are quartiles?▼
Quartiles divide data into 4 equal parts: Q1 (25th), Q2 (50th, median), Q3 (75th).
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