Total Weighted Score Calculator
Objectively Evaluate Your Options
Weighted Score Calculator
Enter the total number of choices you want to evaluate.
Option 1
Give your first choice a descriptive name.
Rate this option on a scale of 0 to 10 (e.g., 8.5).
Option 2
Give your second choice a descriptive name.
Rate this option on a scale of 0 to 10 (e.g., 6.0).
Option 3
Give your third choice a descriptive name.
Rate this option on a scale of 0 to 10 (e.g., 9.0).
Enter the importance of this criterion (e.g., 1.0 for highest importance, 0.5 for medium). The sum of all weights should ideally equal 1.0 for a normalized score.
Importance of Option 1's score.
Importance of Option 2's score.
Importance of Option 3's score.
Calculation Results
—
Total Weighted Sum: —
Sum of Weights: —
Normalized Score (if weights sum to 1): —
Formula: Weighted Score = (Score1 * Weight1) + (Score2 * Weight2) + …
Normalized Score (Optional): (Total Weighted Sum / Sum of Weights) * 100 (if weights don't naturally sum to 100, or to bring it to a 0-100 scale)
Score Distribution
Legend: Scores represent the raw score assigned, while the "Weighted Contribution" shows how much each option contributes to the total weighted sum based on its score and assigned weight.
What is a Total Weighted Score Calculator?
A Total Weighted Score Calculator is a powerful tool designed to help individuals and organizations make more objective and informed decisions. It allows you to systematically evaluate multiple options against a set of predefined criteria, assigning different levels of importance (weights) to each criterion. By quantifying subjective preferences and objective data, this calculator transforms complex choices into a clear, ranked outcome, minimizing bias and highlighting the option that best aligns with your priorities. It's particularly useful when faced with complex decisions involving multiple factors where a simple comparison isn't sufficient.
Who Should Use It?
Anyone facing a decision with multiple variables and criteria can benefit from a total weighted score calculator. This includes:
- Project Managers: Prioritizing projects based on ROI, strategic alignment, and resource availability.
- Hiring Managers: Evaluating candidates based on skills, experience, and cultural fit, with varying importance for each attribute.
- Product Developers: Deciding which features to prioritize in a new product based on market demand, development cost, and user impact.
- Students: Choosing between different universities or courses based on factors like reputation, location, cost, and program specifics.
- Investors: Assessing potential investments based on risk, return, market conditions, and diversification.
- Individuals: Making significant personal decisions such as buying a car, choosing a house, or selecting a vacation destination, weighing factors like price, features, location, and reliability.
Common Misconceptions
One common misconception is that the total weighted score calculator eliminates all subjectivity. While it quantifies and organizes subjective ratings, the initial assignment of scores and weights still involves human judgment. The tool's value lies in making this judgment process transparent and consistent. Another misconception is that it's overly complex; in reality, its strength is in simplifying complexity by breaking down a decision into manageable, weighted components.
Total Weighted Score Formula and Mathematical Explanation
The core of the total weighted score calculator lies in its formula, which combines individual scores with their respective importance weights. Here's a step-by-step breakdown:
Step-by-Step Derivation
- Identify Options: List all the choices you are considering (e.g., Option A, Option B, Option C).
- Define Criteria: Determine the key factors or criteria that are important for evaluating these options (e.g., Cost, Quality, Speed, Features).
- Assign Scores: For each option, assign a numerical score for each criterion. This is often done on a consistent scale, such as 1-10, where higher scores indicate a better fit for that criterion.
- Assign Weights: For each criterion, assign a numerical weight that reflects its relative importance in the decision-making process. Weights are typically expressed as decimals that sum up to 1.0 (or 100%), meaning higher weights indicate greater importance.
- Calculate Weighted Scores: For each option, multiply its score for a specific criterion by the weight assigned to that criterion. Repeat this for all criteria.
- Sum Weighted Scores: For each option, sum up all the weighted scores calculated in the previous step. This sum is the option's total weighted score.
Variable Explanations
Let's define the variables used:
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| N | Number of Options | Count | ≥ 1 |
| Optioni | The i-th choice being evaluated | Identifier | N/A |
| Scorei,j | The score assigned to Optioni for Criterionj | Points (e.g., 0-10) | Typically 0 to 10, or as defined by user |
| Weightj | The weight assigned to Criterionj, reflecting its importance | Proportion (decimal) | Typically 0 to 1.0. Sum of all weights for a set of criteria ideally equals 1.0. |
| W.S.i | The Total Weighted Score for Optioni | Points (scaled) | Depends on score and weight ranges |
| Sum Weights | The sum of all assigned weights (Σ Weightj) | Proportion (decimal) | Ideally 1.0, but can vary |
| Normalized Scorei | The score for Optioni adjusted to a standard scale (e.g., 0-100), especially useful if weights don't sum to 1.0. | Percentage (0-100) | 0 to 100 |
Mathematical Formula
The total weighted score for a given option (Optioni) is calculated as:
W.S.i = Σ (Scorei,j * Weightj) for all criteria j.
If the weights do not sum to 1.0, a normalized score can be calculated to bring the results to a common scale (e.g., 0-100):
Normalized Scorei = (W.S.i / Sum Weights) * 100
A higher total weighted score generally indicates a more favorable option based on the defined criteria and their importance. This makes the total weighted score calculator an indispensable tool for decision-making.
Practical Examples (Real-World Use Cases)
The versatility of the total weighted score calculator is best illustrated through practical examples.
Example 1: Choosing a New Laptop
Sarah needs a new laptop for both work and personal use. She identifies the following options and criteria:
- Options: Laptop A (Brand X), Laptop B (Brand Y), Laptop C (Brand Z)
- Criteria & Weights:
- Performance (Weight: 0.4)
- Portability (Weight: 0.3)
- Battery Life (Weight: 0.2)
- Price (Weight: 0.1) – *Note: For price, a lower price is better, so we might invert the score or use a scale where lower is better if the calculator allows. For simplicity here, we'll assume scores reflect value for money.*
- Scores (Scale 0-10):
- Laptop A: Performance=8, Portability=7, Battery=6, Price=7
- Laptop B: Performance=7, Portability=9, Battery=8, Price=5
- Laptop C: Performance=9, Portability=6, Battery=7, Price=8
Calculation using the calculator:
- Laptop A Weighted Score: (8 * 0.4) + (7 * 0.3) + (6 * 0.2) + (7 * 0.1) = 3.2 + 2.1 + 1.2 + 0.7 = 7.2
- Laptop B Weighted Score: (7 * 0.4) + (9 * 0.3) + (8 * 0.2) + (5 * 0.1) = 2.8 + 2.7 + 1.6 + 0.5 = 7.6
- Laptop C Weighted Score: (9 * 0.4) + (6 * 0.3) + (7 * 0.2) + (8 * 0.1) = 3.6 + 1.8 + 1.4 + 0.8 = 7.6
Interpretation: Laptop B and C have the highest weighted scores (7.6), suggesting they are the best fit based on Sarah's priorities. Laptop A has a slightly lower score (7.2). She might then look closer at B and C, perhaps considering other factors not explicitly weighted or choosing based on subtle differences in the scores.
Example 2: Selecting a Software Vendor
A company is choosing between three software vendors (Vendor P, Vendor Q, Vendor R) for a new CRM system. The key criteria and their weights are:
- Options: Vendor P, Vendor Q, Vendor R
- Criteria & Weights:
- Features & Functionality (Weight: 0.4)
- Ease of Use (Weight: 0.25)
- Customer Support (Weight: 0.15)
- Cost of Ownership (Weight: 0.20) – *Again, scoring reflects value for money.*
- Scores (Scale 0-10):
- Vendor P: Features=7, Ease of Use=8, Support=6, Cost=7
- Vendor Q: Features=8, Ease of Use=6, Support=9, Cost=5
- Vendor R: Features=9, Ease of Use=7, Support=7, Cost=8
Calculation using the calculator:
- Vendor P Weighted Score: (7 * 0.4) + (8 * 0.25) + (6 * 0.15) + (7 * 0.20) = 2.8 + 2.0 + 0.9 + 1.4 = 7.1
- Vendor Q Weighted Score: (8 * 0.4) + (6 * 0.25) + (9 * 0.15) + (5 * 0.20) = 3.2 + 1.5 + 1.35 + 1.0 = 7.05
- Vendor R Weighted Score: (9 * 0.4) + (7 * 0.25) + (7 * 0.15) + (8 * 0.20) = 3.6 + 1.75 + 1.05 + 1.6 = 8.0
Interpretation: Vendor R emerges as the top choice with a weighted score of 8.0, followed closely by Vendor P (7.1) and Vendor Q (7.05). This suggests Vendor R best meets the company's prioritized needs. This structured approach aids the selection committee in justifying their final decision.
How to Use This Total Weighted Score Calculator
Our free total weighted score calculator simplifies complex decision-making. Follow these steps for optimal results:
Step-by-Step Instructions
- Determine Your Options: In the "Number of Options" field, specify how many choices you are comparing. The calculator will dynamically adjust to show input fields for each option.
- Name Your Options: For clarity, enter a descriptive name for each option in the "Option Name" fields (e.g., "Project Alpha", "Candidate B", "University X").
- Define Criteria and Assign Scores: For each option, assign a numerical score (typically 0-10) for each relevant criterion. Ensure your scoring scale is consistent across all options and criteria. Higher scores should represent better performance or suitability for that specific criterion.
- Assign Weights to Options (or Criteria): This calculator weights the *options* themselves, implying that you've already considered the criteria and are perhaps comparing multiple proposed solutions or approaches where the *option* itself carries different importance. In a more common setup, you would assign weights to *criteria*. For this calculator's model: enter a weight (0-1) for each option. A higher weight means that option's score is more influential in the overall decision. For a balanced comparison, aim for the sum of these option weights to be 1.0.
- Calculate: Click the "Calculate Score" button.
How to Read Results
- Primary Highlighted Result (Total Weighted Score): This is the main outcome. The option with the highest score is generally considered the most suitable based on your inputs.
- Intermediate Values:
- Total Weighted Sum: The sum of each option's score multiplied by its weight.
- Sum of Weights: The total sum of the weights you assigned to the options.
- Normalized Score: If the weights don't sum to 1.0, this provides a score scaled to a 0-100 range for easier comparison.
- Table: The table provides a detailed breakdown, showing each option's score, its assigned weight, and its individual weighted contribution to the total sum.
- Chart: The chart visually represents the scores and their weighted contributions, offering a quick comparison of how each option performs and contributes to the overall decision.
Decision-Making Guidance
Use the calculated scores as a guide, not an absolute rule. If scores are very close, consider qualitative factors not captured by the numbers. Review the weights and scores – do they accurately reflect your priorities? Adjusting weights or scores and recalculating can reveal sensitivities in your decision.
Key Factors That Affect Total Weighted Score Results
Several factors can significantly influence the outcome of a total weighted score calculator. Understanding these is crucial for accurate and meaningful results:
- Weight Assignment: This is the most impactful factor. If one criterion or option is assigned a disproportionately high weight, it can overshadow all others, potentially leading to a skewed decision. Ensure weights accurately reflect true priorities.
- Scoring Scale and Consistency: The scale used for scoring (e.g., 0-10, 1-5) and the consistency in applying it are critical. Inconsistent scoring introduces subjectivity and can distort the results. Define clear benchmarks for each score level.
- Completeness of Criteria: Omitting important criteria means they won't be factored into the decision, potentially leading to an suboptimal choice. Conversely, including too many minor criteria can complicate the process without adding significant value.
- Interdependencies Between Criteria: Sometimes, criteria are not independent. For instance, a high-cost option might also offer superior features. The calculator treats criteria independently; recognizing and managing these interdependencies may require additional analysis outside the tool.
- Data Accuracy: The scores assigned should be based on the best available information. Using inaccurate data (e.g., outdated cost estimates, unreliable performance metrics) will lead to unreliable weighted scores.
- Subjectivity in Scoring: Despite the structured approach, assigning scores inherently involves judgment. Different individuals may assign different scores to the same option for the same criterion. Using a consensus approach or multiple evaluators can mitigate this.
- Normalization Method: If weights don't sum to 1.0, the normalization method used (e.g., scaling to 0-100) can affect the final presentation of the score, though the relative ranking of options should remain consistent.
- Context and External Factors: Market conditions, budget constraints, or strategic shifts not explicitly included as criteria can impact the real-world viability of an option, regardless of its weighted score.
Frequently Asked Questions (FAQ)
- Q1: What is the ideal range for scores and weights?
- Scores are typically on a scale of 0-10 or 1-5, where higher is better. Weights are usually decimals ranging from 0 to 1.0, representing proportions. For clarity, it's often recommended that the sum of weights for a set of criteria equals 1.0 (or 100%).
- Q2: Can I use negative scores or weights?
- Generally, no. Scores should represent desirability (higher is better), and weights represent importance (higher is more important). Negative values can disrupt the mathematical logic and interpretation of the weighted score.
- Q3: What if the sum of my weights is not 1.0?
- The calculator provides a "Normalized Score" if weights don't sum to 1.0, scaling the results to a 0-100 range. This allows for comparison even when weights are not perfectly normalized. However, for consistent methodology, aiming for weights that sum to 1.0 is best practice.
- Q4: How do I handle criteria where a lower number is better (e.g., cost, error rate)?
- You have two main options: 1. Invert the score: If the lowest cost is $100 and the highest is $1000, assign a score of 10 to the $100 option and a score of 0 (or lower on your scale) to the $1000 option. 2. Adjust the weight's impact: If using a formula that separates positive and negative impacts, you might assign a positive weight to desirable criteria and a negative weight to undesirable ones, but this requires a more complex calculation model. For this calculator, inverting the score is simpler.
- Q5: How many criteria should I include?
- Focus on the most significant criteria. Too few may miss important factors, while too many can make the process unwieldy. Aim for 5-7 key criteria that genuinely differentiate your options.
- Q6: Is the Total Weighted Score a definitive answer?
- It's a highly valuable guide, but not always the definitive answer. It quantifies your stated priorities. However, unquantifiable factors (e.g., team morale, long-term strategic vision) might still influence the final decision.
- Q7: Can I save my calculations?
- This browser-based calculator does not have built-in saving functionality. You can use the "Copy Results" button to paste the details into another document or note application.
- Q8: What is the difference between weighting options vs. weighting criteria?
- This specific calculator implements weighting of *options*. This means you assign importance directly to each choice. A more common approach (which you might find in other tools) is weighting *criteria*. In that model, you assign importance to each factor (e.g., 'Price', 'Performance'), and then score each option against those weighted criteria. Ensure you understand which model your calculator uses.
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Option ${i}
Give your option a descriptive name.
Rate this option on a scale of 0 to 10.
Importance of Option ${i}'s score.
`;
}
weightContainer.innerHTML = weightsHtml;
currentOptionCount = newCount;
calculateWeightedScore(); // Recalculate after updating inputs
updateChartData(); // Update chart if it exists
}
function updateWeights() {
var numOptions = currentOptionCount;
var weightInput = document.getElementById('weight');
var weightValue = parseFloat(weightInput.value);
if (isNaN(weightValue) || weightValue 1) {
// Don't change weights if the master weight input is invalid
return;
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var inputs = weightContainer.getElementsByTagName('input');
if (inputs.length > 0) {
var baseWeight = weightValue / inputs.length;
for (var i = 0; i < inputs.length; i++) {
inputs[i].value = baseWeight.toFixed(2);
}
}
calculateWeightedScore();
}
function calculateWeightedScore() {
var totalWeightedSum = 0;
var sumOfWeights = 0;
var optionsData = [];
var isValid = true;
for (var i = 1; i <= currentOptionCount; i++) {
var scoreInputId = 'score' + i;
var weightInputId = 'weight' + i;
var optionNameId = 'optionName' + i;
var scoreValid = validateInput(scoreInputId, scoreInputId + 'Error', 0, 10, false);
var weightValid = validateInput(weightInputId, weightInputId + 'Error', 0, 1, false);
var nameInput = document.getElementById(optionNameId);
var nameError = document.getElementById(optionNameId + 'Error');
var optionName = nameInput.value.trim();
if (!scoreValid || !weightValid) {
isValid = false;
}
if (optionName === '') {
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isValid = false;
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nameInput.style.borderColor = 'var(–border-color)';
}
if (scoreValid && weightValid) {
var score = parseFloat(document.getElementById(scoreInputId).value);
var weight = parseFloat(document.getElementById(weightInputId).value);
var optionName = document.getElementById(optionNameId).value;
var weightedScore = score * weight;
totalWeightedSum += weightedScore;
sumOfWeights += weight;
optionsData.push({
name: optionName,
score: score,
weight: weight,
weightedContribution: weightedScore
});
}
}
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var sumOfWeightsSpan = document.querySelector('#sumOfWeights span');
var normalizedScoreSpan = document.querySelector('#normalizedScore span');
if (isValid) {
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totalWeightedSumSpan.textContent = totalWeightedSum.toFixed(2);
sumOfWeightsSpan.textContent = sumOfWeights.toFixed(2);
normalizedScoreSpan.textContent = normalizedScore.toFixed(2);
// Update table
updateResultsTable(optionsData);
// Update chart
updateChartData();
} else {
primaryResultDiv.textContent = '–';
totalWeightedSumSpan.textContent = '–';
sumOfWeightsSpan.textContent = '–';
normalizedScoreSpan.textContent = '–';
// Clear table
document.getElementById('resultsTableBody').innerHTML = '';
// Clear chart
clearChart();
}
}
function updateResultsTable(optionsData) {
var tableBody = document.getElementById('resultsTableBody');
tableBody.innerHTML = ''; // Clear existing rows
optionsData.forEach(function(data) {
var row = tableBody.insertRow();
row.insertCell(0).textContent = data.name;
row.insertCell(1).textContent = data.score.toFixed(1);
row.insertCell(2).textContent = data.weight.toFixed(2);
row.insertCell(3).textContent = data.weightedContribution.toFixed(2);
});
}
function clearChart() {
var canvas = document.getElementById('scoreChart');
var ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height);
}
function updateChartData() {
var canvas = document.getElementById('scoreChart');
if (!canvas) return; // Chart canvas not yet created or removed
var ctx = canvas.getContext('2d');
ctx.clearRect(0, 0, canvas.width, canvas.height); // Clear previous chart
var optionNames = [];
var scores = [];
var weightedContributions = [];
for (var i = 1; i <= currentOptionCount; i++) {
var optionNameInput = document.getElementById('optionName' + i);
var scoreInput = document.getElementById('score' + i);
var weightInput = document.getElementById('weight' + i);
if (optionNameInput && scoreInput && weightInput) {
var score = parseFloat(scoreInput.value);
var weight = parseFloat(weightInput.value);
var optionName = optionNameInput.value || ('Option ' + i);
var weightedContribution = score * weight;
optionNames.push(optionName);
scores.push(score);
weightedContributions.push(weightedContribution);
}
}
var chartHeight = canvas.height;
var barWidth = (canvas.width * 0.8) / optionNames.length * 0.4; // 40% of available space for bars
var gapWidth = (canvas.width * 0.8) / optionNames.length * 0.6; // 60% for gaps
var startX = canvas.width * 0.1;
var maxY = Math.max(…scores, …weightedContributions, 10) * 1.1; // Ensure scale accommodates max value + buffer
ctx.font = '12px Segoe UI';
ctx.fillStyle = '#333';
// Draw axes and labels
ctx.beginPath();
ctx.moveTo(startX, chartHeight – 30);
ctx.lineTo(canvas.width – 10, chartHeight – 30); // X-axis
ctx.moveTo(startX, 15);
ctx.lineTo(startX, chartHeight – 20); // Y-axis
ctx.strokeStyle = '#ccc';
ctx.stroke();
// Y-axis labels
var numYLabels = 5;
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var yPos = chartHeight – 30 – (i * (chartHeight – 50) / numYLabels);
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ctx.fillText(labelValue, startX – 5, yPos);
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// Draw bars for Scores
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for (var i = 0; i < optionNames.length; i++) {
var barHeight = (scores[i] / maxY) * (chartHeight – 50);
var xPos = startX + (gapWidth + barWidth) * i;
ctx.fillRect(xPos, chartHeight – 30 – barHeight, barWidth, barHeight);
// Draw Score Value Label
ctx.fillStyle = '#004a99';
ctx.textAlign = 'center';
ctx.fillText(scores[i].toFixed(1), xPos + barWidth / 2, chartHeight – 30 – barHeight – 5);
}
// Draw bars for Weighted Contributions
ctx.fillStyle = 'rgba(40, 167, 69, 0.7)'; // Success color for weighted contributions
for (var i = 0; i < optionNames.length; i++) {
var barHeight = (weightedContributions[i] / maxY) * (chartHeight – 50);
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ctx.fillRect(xPos, chartHeight – 30 – barHeight, barWidth, barHeight);
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ctx.fillStyle = '#28a745';
ctx.textAlign = 'center';
ctx.fillText(weightedContributions[i].toFixed(2), xPos + barWidth / 2, chartHeight – 30 – barHeight – 5);
}
// Draw X-axis labels (Option Names)
ctx.fillStyle = '#333';
ctx.textAlign = 'center';
for (var i = 0; i < optionNames.length; i++) {
var xPos = startX + gapWidth/2 + (gapWidth + barWidth) * i + barWidth / 2;
ctx.fillText(optionNames[i], xPos, chartHeight – 15);
}
}
function resetCalculator() {
document.getElementById('numOptions').value = 3;
updateOptionInputs(); // This will also reset scores and weights to defaults based on the count
// Manually set example values after updateOptionInputs runs
document.getElementById('optionName1').value = "Option A";
document.getElementById('score1').value = 8;
document.getElementById('weight1').value = 0.5;
document.getElementById('optionName2').value = "Option B";
document.getElementById('score2').value = 6;
document.getElementById('weight2').value = 0.3;
document.getElementById('optionName3').value = "Option C";
document.getElementById('score3').value = 9;
document.getElementById('weight3').value = 0.2;
// Reset master weight input if present and relevant
if (document.getElementById('weight')) {
document.getElementById('weight').value = 1.0;
}
calculateWeightedScore(); // Recalculate with reset values
}
function copyResults() {
var primaryResult = document.getElementById('primaryResult').innerText;
var totalWeightedSum = document.querySelector('#totalWeightedSum span').innerText;
var sumOfWeights = document.querySelector('#sumOfWeights span').innerText;
var normalizedScore = document.querySelector('#normalizedScore span').innerText;
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assumptions += `Weight Sum: ${sumOfWeights}\n`;
assumptions += `Primary Result (Total Weighted Sum): ${primaryResult}\n`;
assumptions += `Normalized Score (if applicable): ${normalizedScore}\n`;
var textToCopy = `— Weighted Score Calculation Results —\n\n`;
textToCopy += `Total Weighted Sum: ${primaryResult}\n`;
textToCopy += `Sum of Weights: ${sumOfWeights}\n`;
textToCopy += `Normalized Score: ${normalizedScore}\n\n`;
textToCopy += `— Detailed Breakdown —\n${tableContent}\n`;
textToCopy += `— Assumptions —\n${assumptions}`;
navigator.clipboard.writeText(textToCopy).then(function() {
// Optional: Show a confirmation message
var copyButton = document.querySelector('.btn-copy');
var originalText = copyButton.innerText;
copyButton.innerText = 'Copied!';
setTimeout(function() {
copyButton.innerText = originalText;
}, 1500);
}).catch(function(err) {
console.error('Failed to copy text: ', err);
// Fallback for older browsers or if clipboard API fails
var textArea = document.createElement("textarea");
textArea.value = textToCopy;
textArea.style.position = "fixed";
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textArea.focus();
textArea.select();
try {
document.execCommand('copy');
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copyButton.innerText = 'Copied!';
setTimeout(function() {
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}, 1500);
} catch (err) {
console.error('Fallback copy failed: ', err);
alert('Failed to copy results. Please copy manually.');
}
document.body.removeChild(textArea);
});
}
// Initialize calculation and table on page load
document.addEventListener('DOMContentLoaded', function() {
var table = document.createElement('table');
table.id = 'resultsTable';
table.innerHTML = `