Statistical Measures Calculator
ANA›Life Services Authority›National Calculator Authority›Statistical Measures Calculator (Mean, Median, Mode, Standard Deviation, Variance)
.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }
Statistical Measures Calculator
Enter a list of numbers to calculate mean, median, mode, standard deviation, and variance.
Numbers (comma or space separated)
Standard Deviation / Variance Type
Population (divide by N) Sample (divide by N−1)
Calculate
function staCalc() { var raw = document.getElementById('sta-numbers').value.trim(); var type = document.getElementById('sta-type').value; var resultDiv = document.getElementById('sta-result');
if (!raw) { resultDiv.innerHTML = 'Please enter at least one number.'; return; }
// Parse: split on commas, spaces, tabs, semicolons var tokens = raw.split(/[\s,;]+/).filter(function(t){ return t !== ''; }); var nums = []; for (var i = 0; i Invalid value: "' + tokens[i] + '". Please enter numbers only.'; return; } nums.push(n); }
if (nums.length === 0) { resultDiv.innerHTML = 'No valid numbers found.'; return; }
var N = nums.length;
// Mean var sum = 0; for (var i = 0; i maxFreq) maxFreq = freq[k]; } var modes = []; for (var k in freq) { if (freq[k] === maxFreq) modes.push(parseFloat(k)); } modes.sort(function(a,b){ return a - b; }); var modeStr; if (maxFreq === 1) { modeStr = 'No mode (all values appear once)'; } else { modeStr = modes.join(', ') + ' (each appears ' + maxFreq + ' times)'; }
// Variance & Std Dev var divisor = (type === 'sample') ? (N - 1) : N; if (divisor === 0) { resultDiv.innerHTML = 'Sample variance requires at least 2 data points.'; return; } var sumSqDiff = 0; for (var i = 0; i ' + 'MeasureValue' + 'Count (N)' + N + '' + 'Sum' + fmt(sum) + '' + 'Mean' + fmt(mean) + '' + 'Median' + fmt(median) + '' + 'Mode' + modeStr + '' + 'Variance (' + (type === 'sample' ? 's²' : 'σ²') + ')' + fmt(variance) + '' + 'Std Deviation (' + (type === 'sample' ? 's' : 'σ') + ')' + fmt(stdDev) + '' + 'Min' + fmt(minVal) + '' + 'Max' + fmt(maxVal) + '' + 'Range' + fmt(range) + '' + ''; }
.calc-table { width: 100%; border-collapse: collapse; margin-top: 12px; } .calc-table th, .calc-table td { border: 1px solid #ddd; padding: 8px 12px; text-align: left; } .calc-table th { background: #f0f4ff; } .calc-table tr:nth-child(even) { background: #fafafa; }
#### Formulas
Mean: x̄ = (Σxᵢ) / N
Median: Middle value of sorted data. If N is even, average of the two middle values.
Mode: Value(s) that appear most frequently in the dataset.
Population Variance: σ² = Σ(xᵢ − μ)² / N
Sample Variance: s² = Σ(xᵢ − x̄)² / (N − 1) (Bessel's correction)
Standard Deviation: σ = √σ² or s = √s²
Range: max(x) − min(x)
#### Assumptions & References
- Reference: Freedman, Pisani & Purves, Statistics (4th ed.); NIST/SEMATECH e-Handbook of Statistical Methods.
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