Statistics Calculator
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: #f8f9fa;
color: #333;
line-height: 1.6;
margin: 0;
padding: 20px;
}
.calculator-container {
max-width: 800px;
margin: 30px auto;
background-color: #ffffff;
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
border: 1px solid #e0e0e0;
}
h1, h2 {
color: #004a99;
text-align: center;
margin-bottom: 20px;
}
.input-section {
margin-bottom: 30px;
padding-bottom: 20px;
border-bottom: 1px solid #eee;
}
.input-group {
margin-bottom: 15px;
display: flex;
align-items: center;
flex-wrap: wrap;
}
.input-group label {
flex: 1 1 150px;
margin-right: 10px;
font-weight: bold;
color: #004a99;
}
.input-group input[type="text"],
.input-group input[type="number"] {
flex: 2 1 200px;
padding: 10px 12px;
border: 1px solid #ccc;
border-radius: 4px;
font-size: 1rem;
box-sizing: border-box;
}
.input-group input[type="text"]:focus,
.input-group input[type="number"]:focus {
border-color: #004a99;
outline: none;
box-shadow: 0 0 0 2px rgba(0, 74, 153, 0.2);
}
button {
display: block;
width: 100%;
padding: 12px 20px;
background-color: #004a99;
color: white;
border: none;
border-radius: 4px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease;
margin-top: 10px;
}
button:hover {
background-color: #003366;
}
.result-section {
margin-top: 30px;
padding: 20px;
background-color: #e7f3ff;
border-left: 5px solid #004a99;
border-radius: 4px;
}
.result-section h2 {
margin-top: 0;
color: #004a99;
}
#calculationResult {
font-size: 1.4rem;
font-weight: bold;
color: #004a99;
text-align: center;
margin-top: 15px;
}
.article-section {
margin-top: 40px;
padding-top: 30px;
border-top: 1px solid #eee;
}
.article-section h2 {
text-align: left;
color: #004a99;
}
.article-section p, .article-section ul, .article-section li {
margin-bottom: 15px;
}
.article-section code {
background-color: #e7f3ff;
padding: 2px 6px;
border-radius: 3px;
font-family: Consolas, Monaco, 'Andale Mono', 'Ubuntu Mono', monospace;
}
@media (max-width: 600px) {
.input-group {
flex-direction: column;
align-items: flex-start;
}
.input-group label {
margin-bottom: 5px;
flex-basis: auto;
}
.input-group input[type="text"],
.input-group input[type="number"] {
width: 100%;
flex-basis: auto;
}
.calculator-container {
padding: 20px;
}
}
Descriptive Statistics Calculator
Enter your numerical data points, separated by commas, to calculate key descriptive statistics.
Results
Please enter your data points and click "Calculate Statistics".
Understanding Descriptive Statistics
Descriptive statistics are fundamental tools in data analysis that summarize and describe the main features of a dataset. They provide a concise overview of the data's central tendency, dispersion, and shape, making complex information more understandable. This calculator helps you compute several key descriptive statistics:
Key Statistics Calculated:
- Count (n): The total number of data points in your dataset.
- Sum: The total sum of all data points.
- Mean (Average): The sum of all data points divided by the count. It represents the central value of the dataset. Formula:
Sum / n
- Median: The middle value of a dataset when it is ordered from least to greatest. If there's an even number of data points, it's the average of the two middle values.
- Mode: The value(s) that appear most frequently in the dataset. A dataset can have one mode (unimodal), multiple modes (multimodal), or no mode.
- Range: The difference between the highest and lowest values in the dataset. Formula:
Maximum - Minimum
- Variance (Sample): A measure of how spread out the data is from the mean. It's the average of the squared differences from the Mean. For a sample, the formula is:
Σ(xᵢ - Mean)² / (n - 1)
- Standard Deviation (Sample): The square root of the variance. It indicates the typical deviation of data points from the mean. Formula:
√Variance
How the Calculator Works:
The calculator takes a comma-separated string of numbers as input. It first parses this string into an array of numerical values. Then, it iterates through the data to compute the sum, count, minimum, and maximum values. The mean is calculated directly. For the median, the data is sorted, and the middle element(s) are identified. The mode is found by counting the frequency of each number. Variance and standard deviation are calculated using the sample formulas, which are commonly used when your data represents a sample of a larger population.
Use Cases:
Descriptive statistics are invaluable across many fields:
- Business: Analyzing sales figures, customer demographics, or market trends.
- Science: Summarizing experimental results, population data, or environmental measurements.
- Finance: Understanding stock price movements, portfolio performance, or economic indicators.
- Education: Evaluating student test scores or performance metrics.
- Everyday Life: Analyzing personal spending habits, fitness tracking data, or survey results.
By providing a clear and concise summary of your data, descriptive statistics help you identify patterns, make informed decisions, and communicate findings effectively.
function calculateStatistics() {
var dataInput = document.getElementById("dataPoints").value;
var resultsDiv = document.getElementById("calculationResult");
resultsDiv.innerHTML = ""; // Clear previous results
if (!dataInput) {
resultsDiv.innerHTML = "Please enter some data points.";
return;
}
var dataArray = dataInput.split(',')
.map(function(item) {
return parseFloat(item.trim());
})
.filter(function(item) {
return !isNaN(item);
});
if (dataArray.length === 0) {
resultsDiv.innerHTML = "No valid numbers were entered. Please check your input.";
return;
}
var n = dataArray.length;
var sum = 0;
var min = dataArray[0];
var max = dataArray[0];
for (var i = 0; i < n; i++) {
sum += dataArray[i];
if (dataArray[i] max) {
max = dataArray[i];
}
}
var mean = sum / n;
// Median calculation
var sortedData = dataArray.slice().sort(function(a, b) {
return a – b;
});
var median;
var mid = Math.floor(n / 2);
if (n % 2 === 0) {
median = (sortedData[mid – 1] + sortedData[mid]) / 2;
} else {
median = sortedData[mid];
}
// Mode calculation
var frequency = {};
var maxFrequency = 0;
var modes = [];
for (var j = 0; j maxFrequency) {
maxFrequency = frequency[dataArray[j]];
}
}
if (maxFrequency > 1) { // Only consider modes if a value appears more than once
for (var key in frequency) {
if (frequency[key] === maxFrequency) {
modes.push(parseFloat(key));
}
}
}
var modeDisplay = modes.length > 0 ? modes.join(', ') : "N/A (no repeating values)";
if (modes.length === n) { // All values are unique and appear once
modeDisplay = "N/A (all unique)";
}
// Variance and Standard Deviation (Sample) calculation
var sumSquaredDifferences = 0;
for (var k = 0; k 1) ? sumSquaredDifferences / (n – 1) : 0;
var stdDev = Math.sqrt(variance);
var resultHTML = "
";
resultHTML += "- Count (n): " + n + "
";
resultHTML += "- Sum: " + sum.toFixed(4) + "
";
resultHTML += "- Mean: " + mean.toFixed(4) + "
";
resultHTML += "- Median: " + median.toFixed(4) + "
";
resultHTML += "- Mode: " + modeDisplay + "
";
resultHTML += "- Range: " + (max – min).toFixed(4) + "
";
resultHTML += "- Variance (Sample): " + variance.toFixed(4) + "
";
resultHTML += "- Standard Deviation (Sample): " + stdDev.toFixed(4) + "
";
resultHTML += "
";
resultsDiv.innerHTML = resultHTML;
}