Scientific Calculator
Type expressions with powers, roots, trigonometry, logs and constants, in degrees or radians, with a history.
Mean, median, mode, standard deviation, quartiles and outliers from a list of numbers, with a histogram.
Runs entirely in your browser. Nothing you type or paste is sent anywhere.
Type expressions with powers, roots, trigonometry, logs and constants, in degrees or radians, with a history.
Plot up to four functions of x, zoom and pan, and read exact values along each curve.
Solve linear and quadratic equations and systems of two or three unknowns, with the steps shown.
Add, multiply, transpose and invert matrices, with determinant, rank and row-reduced form.
Separate numbers with commas, spaces, tabs or new lines. A column copied from a spreadsheet works too. Write 1234, not 1,234.
Read 20 numbers.
| Count (n) | 20 |
|---|---|
| Sum | 1,564 |
| Minimum | 45 |
| Maximum | 99 |
| Range (max − min) | 54 |
| Measure | Sample (n − 1) | Population (n) |
|---|---|---|
| Variance | 179.85 | 170.86 |
| Standard deviation | 13.41 | 13.07 |
In bell-shaped data, about 68% of values fall within 1 standard deviation and 95% within 2.
| Lower quartile (Q1) | 71 |
|---|---|
| Median (Q2) | 80.5 |
| Upper quartile (Q3) | 86.5 |
| Interquartile range (IQR = Q3 − Q1) | 15.5 |
| Lower fence (Q1 − 1.5 × IQR) | 47.75 |
| Upper fence (Q3 + 1.5 × IQR) | 109.75 |
| Outliers | 45Outside the fences |
Q1 and Q3 are the medians of the lower and upper halves of the sorted list. When the count is odd, the median itself is left out of both halves.
| Class | Frequency | Percent | Cumulative |
|---|---|---|---|
| 40–49 | 1 | 5% | 1 |
| 50–59 | 1 | 5% | 2 |
| 60–69 | 2 | 10% | 4 |
| 70–79 | 6 | 30% | 10 |
| 80–89 | 6 | 30% | 16 |
| 90–99 | 4 | 20% | 20 |
sum ÷ count
1,564 ÷ 20 = 78.2
the middle value of the sorted list
(79 + 82) ÷ 2 = 80.5
Σ(x − mean)² ÷ (n − 1) for a sample, ÷ n for a population
3,417.2 ÷ 19 = 179.85; 3,417.2 ÷ 20 = 170.86
√variance
√179.85 = 13.41 (sample); √170.86 = 13.07 (population)
medians of the lower and upper halves
Lower half: 45, 58, 61, 66, 70, 72, 73, 77, 78, 79 → Q1 = 71
Upper half: 82, 84, 85, 85, 85, 88, 90, 92, 95, 99 → Q3 = 86.5
Q1 − 1.5 × IQR and Q3 + 1.5 × IQR
71 − 1.5 × 15.5 = 47.75; 86.5 + 1.5 × 15.5 = 109.75
Sturges’ rule: k = ⌈log₂ n⌉ + 1
⌈log₂ 20⌉ + 1 = 6 classes, with the width rounded to a tidy number
sample standard deviation ÷ mean × 100
13.41 ÷ 78.2 × 100 = 17.15%