Range Maths Calculator

Results:

Statistical Range: 0

Maximum Value: 0

Minimum Value: 0

Mid-Range: 0

Formula used: Max – Min = Range

function calculateRange() { var rawInput = document.getElementById('numberSet').value; var manualMax = document.getElementById('manualMax').value; var manualMin = document.getElementById('manualMin').value; var numbers = []; if (rawInput.trim() !== "") { var splitInput = rawInput.split(/[,\s]+/); for (var i = 0; i < splitInput.length; i++) { var val = parseFloat(splitInput[i]); if (!isNaN(val)) { numbers.push(val); } } } if (manualMax !== "") numbers.push(parseFloat(manualMax)); if (manualMin !== "") numbers.push(parseFloat(manualMin)); if (numbers.length < 2) { alert("Please enter at least two numbers to calculate a range."); return; } var max = Math.max.apply(Math, numbers); var min = Math.min.apply(Math, numbers); var range = max – min; var midRange = (max + min) / 2; document.getElementById('statRangeValue').innerText = range.toLocaleString(); document.getElementById('maxValue').innerText = max.toLocaleString(); document.getElementById('minValue').innerText = min.toLocaleString(); document.getElementById('midRangeValue').innerText = midRange.toLocaleString(); document.getElementById('rangeResult').style.display = 'block'; } function clearRangeCalc() { document.getElementById('numberSet').value = ''; document.getElementById('manualMax').value = ''; document.getElementById('manualMin').value = ''; document.getElementById('rangeResult').style.display = 'none'; }

Understanding Range in Mathematics

In statistics and mathematics, the range is the simplest measure of variability or dispersion. It represents the difference between the highest (maximum) and lowest (minimum) values in a specific data set. While it doesn't tell you how the data is distributed in between, it is a crucial first step in understanding the breadth of your data.

The Range Formula

Range = Maximum Value – Minimum Value

What is the Mid-Range?

The mid-range is the arithmetic mean of the maximum and minimum values of a data set. It provides a rough estimate of the "center" of the range. The formula is: (Max + Min) / 2.

Practical Examples

Example 1: Test Scores

Imagine a classroom where students scored: 65, 82, 94, 71, and 88.
• Maximum: 94
• Minimum: 65
• Range: 94 – 65 = 29 points.

Example 2: Daily Temperature

In a week, the high temperatures were 22°C, 25°C, 19°C, 28°C, and 21°C.
• Maximum: 28
• Minimum: 19
• Range: 28 – 19 = 9 degrees.

When to Use a Range Calculator

• Data Cleaning: Quickly identify outliers by seeing if the range is unexpectedly large.
• Quality Control: Monitoring variations in manufacturing dimensions.
• Stock Market: Calculating the "Day Range" between a stock's high and low price.
• Education: Comparing the spread of grades between different classes.

Frequently Asked Questions

Can the range be negative?

No. Since the maximum value is by definition greater than or equal to the minimum value, the range is always zero or a positive number.

Does range account for all numbers in a set?

Technically no. The range only looks at the two extreme values. To understand the distribution of all numbers, you would need to calculate Standard Deviation or Variance.