Descriptive Statistics Calculator
Quick summary stats for your data
About the Descriptive Statistics Calculator
The Descriptive Statistics Calculator is an easy-to-use online tool that helps you instantly analyze your dataset. It calculates key statistical values such as mean, median, mode, variance, standard deviation, quartiles, range, and more. Whether you are a student, researcher, teacher, or analyst, this tool saves time and provides accurate results for any dataset.
Just enter your values or upload a CSV file, and the calculator will automatically generate the results. It’s perfect for academic projects, research work, business analysis, and quick data checks.
What This Calculator Computes
Count (n)
Formula: Count = n
The total number of data points in your dataset. It simply tells you how many values you entered.
Sum (Σx)
Formula: Sum = x1 + x2 + ... + xn
The total sum of all the numbers. Useful for quick checks and for calculating averages.
Mean (Average)
Formula: Mean = Sum ÷ Count
The central value of your data, calculated by dividing the sum by the count. It gives a general idea of the dataset’s “typical” value.
Median (Q2)
Formula: Middle value in sorted data. For even count: (x(n/2) + x(n/2 + 1)) ÷ 2
The middle value when your data is sorted. If there are an even number of data points, the median is the average of the two middle values. It is less affected by extreme values than the mean.
Mode
Formula: Most frequently occurring value(s)
The number(s) that appear most often in the dataset. A dataset can have one mode, multiple modes, or no mode at all.
Standard Deviation (σ)
Formula: σ = √( Σ(xi − μ)2 / n )
Measures how spread out the data is around the mean. A small standard deviation means the values are close to the mean, while a large one indicates high variability.
Variance (σ²)
Formula: σ² = Σ(xi − μ)2 / n
The square of the standard deviation. It shows how far each value is from the mean, on average, in squared units.
Minimum & Maximum
Formula: Minimum = smallest value, Maximum = largest value
The smallest and largest values in the dataset. These give the boundaries of your data range.
Range
Formula: Range = Max − Min
The difference between the maximum and minimum values. It shows the overall spread of your data.
Q1 (First Quartile)
Formula: Q1 = 25th percentile
The value below which 25% of the data lies. Represents the “lower quarter” of your dataset.
Q2 (Median)
Formula: Q2 = 50th percentile
Same as the median — half of the data lies below this point, half above.
Q3 (Third Quartile)
Formula: Q3 = 75th percentile
The value below which 75% of the data lies. Represents the “upper quarter” of your dataset.
IQR (Interquartile Range)
Formula: IQR = Q3 - Q1
The difference between Q3 and Q1. It measures the spread of the middle 50% of the data and is useful for detecting outliers.
How to Use the Descriptive Statistics Calculator
- Paste or type a list of numbers separated by spaces or commas.
- You can also upload a CSV file with numeric values.
- Statistics are calculated automatically.
- Click Reset to clear the data.
Frequently Asked Questions (FAQs)
A descriptive statistics calculator summarizes a dataset by computing key statistics like mean, median, mode, range, variance, standard deviation, and quartiles. It helps analyze data quickly without doing manual calculations.
Mean is the sum of all numbers divided by the count. Median is the middle number in sorted data. Mode is the most frequent value. This tool calculates all of them instantly from your input.
Variance measures the average squared deviation from the mean. Standard deviation is the square root of variance and is expressed in the same units as the data.
Yes, you can upload a CSV file containing numeric data. The tool will extract numbers, calculate all statistics, and display results in a formatted table.