š Descriptive Statistics & Analytics
Descriptive Statistics Calculator
Analyze data sets to calculate Mean, Median, Mode, Variance, Sample & Population Standard Deviation.
Sample Datasets:
Exam Test Scores
Fibonacci Sequence
Lab Measurements
Clear
Mean (Average)
25.7
Median
26.5
Sample Std Dev (s)
8.69
Count (N)
10
Full Statistical Summary Table:
Sum (Ī£x)
257
Mode
No mode
Minimum
12
Maximum
40
Range (Max ā Min)
28
Sample Variance (sĀ²)
75.57
Population Std Dev (Ļ)
8.25
Std Error of Mean (SE)
2.75
Mathematical Definitions of Descriptive Statistics
Descriptive statistics quantify the central tendency, dispersion, and spread of numerical datasets:
- Arithmetic Mean ($\bar{x}$): The sum of all values divided by total count: $\bar{x} = \frac{1}{N}\sum_{i=1}^N x_i$.
- Median: The physical midpoint dividing the upper half of ordered data from the lower half.
- Sample Standard Deviation ($s$): Quantifies dataset dispersion around the mean using Bessel's correction $(N-1)$: $s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{N-1}}$.