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Calculate mean, median, mode, standard deviation, variance, quartiles, and more from any dataset. Paste or type numbers for instant descriptive statistics.
Descriptive statistics summarize and organize data using measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation). They provide a concise overview of a dataset's key characteristics.
Enter numbers separated by commas, spaces, or new lines.
10 values detected
| Count (n) | 10 |
| Sum | 270 |
| Mean (Average) | 27 |
| Median | 26.5 |
| Mode | No mode |
| Range | 33 |
| Minimum | 12 |
| Maximum | 45 |
| Sample Std Dev (s) | 10.7806 |
| Population Std Dev (σ) | 10.2274 |
| Sample Variance (s²) | 116.2222 |
| Population Variance (σ²) | 104.6 |
| Q1 (25th) | 18 |
| Q3 (75th) | 35 |
| IQR | 17 |
| Skewness | 0.2887 |
| Std Error (SEM) | 3.4091 |
| CV (%) | 39.93% |
Formula
s² = Σ(xᵢ − x̄)² / (n − 1)xᵢ = each individual data point
x̄ = the sample mean (average)
n = the number of data points
s² = the sample variance
Worked Example
Calculate mean and std dev for {4, 8, 6, 5, 3}
Did you know? The term 'standard deviation' was introduced by Karl Pearson in 1893. Before that, scientists used 'probable error,' which equals about 0.6745 standard deviations (source: American Statistical Association).
Sources
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