ماشین‌حساب آمار توصیفی

(مستندات به انگلیسی)

What it does

The Statistics Calculator turns a list of numbers into a full descriptive-statistics summary: count, sum, mean, median, mode, min, max, range, variance, standard deviation, and quartiles (Q1, Q3, IQR). Paste numbers separated by commas, spaces, or new lines - it tolerates messy input and flags any tokens it can’t parse. Toggle between sample (n−1) and population (n) variance to match your use case. Everything runs 100% client-side, so your data never leaves the browser.

How to use it

1. Paste your numbers into Numbers (or hit Sample to load a demo).
2. Separate values with commas, spaces, or new lines - mix freely.
3. Pick Sample (n−1) or Population (n) for variance and standard deviation.
4. Read the results grid; each stat has its own copy button, or Copy all for the whole summary.
5. Copy share link to send the exact input + mode to someone else.

Examples

Basic summary

Input: 4, 8, 15, 16, 23, 42
Count: 6 · Sum: 108 · Mean: 18 · Median: 15.5
Min: 4 · Max: 42 · Range: 38
Sample variance: 182 · Sample std dev: ≈ 13.49
Q1: 9.75 · Q3: 21.25 · IQR: 11.5

Messy input is tolerated

Input: 1 2\nthree\n4 → parses 1, 2, 4, and warns "Ignored 1 non-numeric token: three".

Mode behavior

5 5 5 → Mode: 5
1 1 2 2 → Mode: - (uniform, no mode)
1 1 3 3 2 → Mode: 1, 3 (bimodal)

Good to know

• Quartiles use linear interpolation (the R-7 / NumPy / Excel PERCENTILE convention).
• Sample vs population: with fewer than 2 values, sample variance/std dev are undefined (-); population variance is always defined.
• Shareable: your input and sample/population choice are encoded in the URL.
• Private: all computation happens locally - safe for sensitive data.
• Related tools: ASCII Table, Markdown Table Generator, Word Counter.