Statistical Frequency Calculator
:root {
–primary-blue: #004a99;
–success-green: #28a745;
–light-background: #f8f9fa;
–white: #ffffff;
–dark-gray: #343a40;
–border-color: #dee2e6;
}
body {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
background-color: var(–light-background);
color: var(–dark-gray);
margin: 0;
padding: 20px;
display: flex;
justify-content: center;
align-items: flex-start; /* Align items to the top */
min-height: 100vh;
}
.calc-container {
background-color: var(–white);
padding: 30px;
border-radius: 8px;
box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
width: 100%;
max-width: 700px;
box-sizing: border-box;
}
h1 {
color: var(–primary-blue);
text-align: center;
margin-bottom: 20px;
}
.input-section, .article-section {
margin-bottom: 30px;
border: 1px solid var(–border-color);
border-radius: 6px;
padding: 20px;
background-color: var(–white);
}
.input-group {
margin-bottom: 20px;
display: flex;
flex-direction: column;
gap: 8px;
}
.input-group label {
font-weight: 500;
color: var(–dark-gray);
}
.input-group input[type="text"],
.input-group input[type="number"] {
padding: 10px;
border: 1px solid var(–border-color);
border-radius: 4px;
font-size: 1rem;
width: 100%;
box-sizing: border-box;
}
.input-group input[type="text"]:focus,
.input-group input[type="number"]:focus {
border-color: var(–primary-blue);
outline: none;
box-shadow: 0 0 0 2px rgba(0, 74, 153, 0.2);
}
.calc-button {
background-color: var(–primary-blue);
color: var(–white);
border: none;
padding: 12px 20px;
border-radius: 5px;
font-size: 1.1rem;
cursor: pointer;
transition: background-color 0.3s ease, transform 0.2s ease;
width: 100%;
margin-top: 10px;
}
.calc-button:hover {
background-color: #003b80;
transform: translateY(-2px);
}
.result-section {
background-color: var(–primary-blue);
color: var(–white);
padding: 25px;
border-radius: 6px;
text-align: center;
margin-top: 20px;
box-shadow: 0 2px 10px rgba(0, 74, 153, 0.3);
}
.result-section h2 {
margin-top: 0;
font-size: 1.5rem;
color: var(–white);
}
.result-value {
font-size: 2.5rem;
font-weight: bold;
margin-top: 10px;
color: var(–success-green); /* Highlight result */
}
.article-section h2 {
color: var(–primary-blue);
margin-bottom: 15px;
text-align: center;
}
.article-section p {
line-height: 1.6;
margin-bottom: 15px;
text-align: justify;
}
.article-section ul {
margin-left: 20px;
margin-bottom: 15px;
}
.article-section li {
margin-bottom: 8px;
}
/* Responsive adjustments */
@media (max-width: 768px) {
body {
padding: 15px;
}
.calc-container {
padding: 20px;
}
h1 {
font-size: 1.8rem;
}
.result-value {
font-size: 2rem;
}
.calc-button {
font-size: 1rem;
padding: 10px 15px;
}
}
@media (max-width: 480px) {
.calc-container {
padding: 15px;
}
h1 {
font-size: 1.5rem;
}
.result-section {
padding: 20px;
}
.result-value {
font-size: 1.8rem;
}
}
Statistical Frequency Calculator
Understanding Statistical Frequency
Frequency in statistics refers to the number of times a particular value or range of values appears in a dataset. It's a fundamental concept used to summarize and understand the distribution of data. Calculating frequency helps us identify patterns, trends, and the relative importance of different observations within a collection of data.
There are two main types of frequency:
- Absolute Frequency: This is the raw count of how many times a specific data point or category occurs. For example, if you survey 30 students and 5 of them prefer 'Blue' as their favorite color, the absolute frequency for 'Blue' is 5.
- Relative Frequency: This is the proportion or percentage of times a specific data point or category occurs in relation to the total number of observations. It's calculated by dividing the absolute frequency by the total number of data points. Relative frequency gives a clearer picture of how common a value is compared to others, especially when datasets have different sizes.
How to Calculate Frequency
This calculator helps you determine the frequency of values within a dataset you provide.
- Enter Data Values: Input your dataset into the "Enter Data Values" field. Separate each numerical value with a comma. For example:
10, 12, 11, 10, 13, 12, 10, 14, 11.
- Specify Value (Optional): If you want to find the frequency of only a specific value (e.g., how many times '10' appears), enter that value in the "Calculate Frequency For" field. If you leave this blank, the calculator will show the frequency for all unique values in your dataset.
- Calculate: Click the "Calculate Frequency" button.
The calculator will then display the absolute frequency (count) and relative frequency (proportion) for each unique value in your dataset, or just for the specific value you entered.
Use Cases for Frequency Calculation:
- Data Summarization: Condensing large datasets into understandable summaries.
- Identifying Patterns: Spotting common values or clusters in data.
- Probability Estimation: Relative frequencies can serve as estimates for probabilities.
- Data Visualization: Frequencies are the basis for histograms, bar charts, and frequency tables.
- Quality Control: Tracking the frequency of defects in manufacturing.
function calculateFrequency() {
var dataInput = document.getElementById("dataValues").value;
var specificValueInput = document.getElementById("specificValue").value;
var resultDisplay = document.getElementById("resultDisplay");
var resultSection = document.getElementById("resultSection");
resultSection.style.display = 'none'; // Hide previous results
if (!dataInput) {
resultDisplay.innerHTML = "Please enter data values.";
resultSection.style.display = 'block';
return;
}
var dataArray = dataInput.split(',')
.map(function(item) {
var trimmed = item.trim();
return trimmed === " ? NaN : parseFloat(trimmed);
})
.filter(function(item) {
return !isNaN(item);
});
if (dataArray.length === 0) {
resultDisplay.innerHTML = "No valid numerical data found.";
resultSection.style.display = 'block';
return;
}
var frequencies = {};
var totalCount = dataArray.length;
for (var i = 0; i < dataArray.length; i++) {
var value = dataArray[i];
frequencies[value] = (frequencies[value] || 0) + 1;
}
var outputHtml = "";
if (specificValueInput) {
var targetValue = parseFloat(specificValueInput.trim());
if (isNaN(targetValue)) {
outputHtml = "Invalid specific value entered.";
} else {
var absoluteFreq = frequencies[targetValue] || 0;
var relativeFreq = absoluteFreq / totalCount;
outputHtml += "
Frequency for " + targetValue + ":
";
outputHtml += "
Absolute Frequency: " + absoluteFreq + "";
outputHtml += "
Relative Frequency: " + relativeFreq.toFixed(4) + " (" + (relativeFreq * 100).toFixed(2) + "%)";
}
} else {
// Sort unique values numerically for display
var sortedUniqueValues = Object.keys(frequencies).map(Number).sort(function(a, b) { return a – b; });
outputHtml += "
Summary Frequencies:
";
for (var j = 0; j < sortedUniqueValues.length; j++) {
var value = sortedUniqueValues[j];
var absoluteFreq = frequencies[value];
var relativeFreq = absoluteFreq / totalCount;
outputHtml += "
Value: " + value + " | Absolute: " + absoluteFreq + " | Relative: " + relativeFreq.toFixed(4) + " (" + (relativeFreq * 100).toFixed(2) + "%)";
}
outputHtml += "
";
outputHtml += "
Total Observations: " + totalCount + "";
}
resultDisplay.innerHTML = outputHtml;
resultSection.style.display = 'block';
}