Standard Deviation & Variance Analyzer

Standard Deviation & Variance Analyzer

Calculate key statistical measures of dispersion for your dataset.

Provide at least 2 data points for 'Sample' calculations, or 1 for 'Population'.

Calculation Type: ${calcType.charAt(0).toUpperCase() + calcType.slice(1)}


Mean (Average): ${mean.toFixed(4)}

Sum of Squared Differences: ${sumOfSquares.toFixed(4)}

Variance (${calcType === "sample" ? "s²" : "σ²"}): ${variance.toFixed(4)}

Standard Deviation (${calcType === "sample" ? "s" : "σ"}): ${stdDev.toFixed(4)}

Interpretation:

The Mean is the average value of your dataset.

The Variance (${variance.toFixed(4)}) measures the average squared difference of each data point from the mean. It's in 'squared units' of your data.

The Standard Deviation (${stdDev.toFixed(4)}) is the square root of the variance. It indicates the typical or average amount by which individual data points deviate from the mean. A smaller standard deviation suggests data points are clustered closely around the mean, while a larger value indicates they are more spread out.

`; resultsSectionEl.style.display = 'block'; pdfDownloadBtn.style.display = 'block'; // Prepare PDF content document.getElementById('pdfReportDate').textContent = `Report generated on: ${new Date().toLocaleDateString()}`; document.getElementById('pdfCalcType').textContent = `Calculation Type: ${calcType.charAt(0).toUpperCase() + calcType.slice(1)}`; document.getElementById('pdfNumObservations').textContent = `Number of Observations (N): ${n}`; document.getElementById('pdfMean').textContent = `Mean (Average): ${mean.toFixed(4)}`; document.getElementById('pdfSumSq').textContent = `Sum of Squared Differences: ${sumOfSquares.toFixed(4)}`; document.getElementById('pdfVariance').textContent = `Variance (${calcType === "sample" ? "s²" : "σ²"}): ${variance.toFixed(4)}`; document.getElementById('pdfStdDev').textContent = `Standard Deviation (${calcType === "sample" ? "s" : "σ"}): ${stdDev.toFixed(4)}`; document.getElementById('pdfInterpretation').innerHTML = ` The Mean (${mean.toFixed(4)}) is the average value. The Variance (${variance.toFixed(4)}) shows the data spread in squared units. The Standard Deviation (${stdDev.toFixed(4)}) indicates the typical deviation from the mean. `; }); loadSampleBtn.addEventListener('click', function() { inputDataEl.value = sampleNumericalData; calculationTypeEl.value = 'sample'; // Default to sample for the sample data errorMessagesEl.style.display = 'none'; resultsSectionEl.style.display = 'none'; pdfDownloadBtn.style.display = 'none'; }); resetBtn.addEventListener('click', function() { inputDataEl.value = ''; calculationTypeEl.value = 'sample'; resultsSectionEl.style.display = 'none'; pdfDownloadBtn.style.display = 'none'; errorMessagesEl.style.display = 'none'; resultsOutputEl.innerHTML = ''; }); pdfDownloadBtn.addEventListener('click', function() { const elementToPrint = document.getElementById('pdfReportContent'); elementToPrint.style.display = 'block'; const opt = { margin: [15, 10, 15, 10], filename: 'statistics_analysis_report.pdf', image: { type: 'jpeg', quality: 0.98 }, html2canvas: { scale: 2, useCORS: true, logging: false }, jsPDF: { unit: 'mm', format: 'a4', orientation: 'portrait' } }; html2pdf().from(elementToPrint).set(opt).save().then(() => { elementToPrint.style.display = 'none'; }).catch(err => { console.error("Error generating PDF:", err); elementToPrint.style.display = 'none'; }); }); });
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