One Variable Statistics Calculator
| Count | \(n=10\) |
| Sum | \(\sum{x_i}=55\) |
| Mean (Average)Mean (Average): \[\overline{x}=\frac{\sum{x_i}}{n}\] | \(\overline{x}=\frac{11}{2}=5.5\) |
| Minimum | \(min=1\) |
| Q1 | \(Q_1=3\) |
| Median(Q2) | \(Q_2=\frac{11}{2}=5.5\) |
| Q3 | \(Q_3=8\) |
| Maximum | \(max=10\) |
| Box-and-Whisker Plot | |
| RangeRange: \[Range=Max-Min\] | \(Range=9\) |
| ModeMode: The most frequently occurring number(s) | Mode: No Mode |
| Interquartile RangeInterquartile Range: \[IQR=Q3-Q1\] | \(IQR=5\) |
| Outlier(s)Outlier(s): Any numbers less than \[Q1-1.5\cdot IQR\] or greater than \[Q3+1.5\cdot IQR\] | { } |
| Corrected Sum of SquaresCorrected Sum of Squares: \[S_{xx}=\sum{(x_i-\overline{X})^2}\] | \(S_{xx}=82.5\) |
| (Sample) Variance(Sample) Variance: \[s^2=\frac{\sum{(x-\overline{x}_i)^2}}{n-1}\] | \(s^2=\frac{55}{6}\approx9.1667\) |
| (Sample) Standard Deviation(Sample) Standard Deviation: \[s=\sqrt{\frac{\sum{(x-\overline{x}_i)^2}}{n-1}}\] | \(s=\sqrt{\frac{55}{6}}\approx3.0277\) |
| (Population) Standard Deviation(Population) Variance: \[\sigma^2=\frac{\sum{(x-\overline{x}_i)^2}}{n}\] | \(\sigma^2=\frac{33}{4}=8.25\) |
| (Population) Standard Deviation(Population) Standard Deviation: \[\sigma=\sqrt{\frac{\sum{(x-\overline{x}_i)^2}}{n}}\] | \(\sigma=\frac{\sqrt{33}}{2}\approx2.8723\) |
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