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Enter or paste your numbers Separate numbers with commas, spaces, semicolons, tabs, or newlines. Max 10,000 values.

Remove duplicates Output delimiter:

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About

Sorting a list of numbers in ascending order means arranging every element a₁, a₂, …, a_n such that a_i ≤ a_i+1 for every valid index i. The operation is fundamental in statistics, data cleaning, and algorithm design. Incorrectly ordered datasets corrupt percentile calculations, break binary search assumptions, and produce wrong median or quartile values. Manual sorting past 20 - 30 values is error-prone and slow.

This tool parses raw number lists separated by commas, spaces, semicolons, tabs, or newlines. It accepts integers, decimals, and negative values. It also computes summary statistics - minimum, maximum, range, mean, and median - so you get a full snapshot without a separate calculator. The sort is comparison-based with O(n log n) complexity. Note: floating-point precision is limited to IEEE 754 double-precision (≈15 - 17 significant digits). Extremely large datasets above 10,000 values are capped to keep the browser responsive.

Formulas

The ascending order constraint for a sequence of n elements is defined as:

a₁ ≤ a₂ ≤ a₃ ≤ … ≤ a_n

After sorting, summary statistics are computed from the ordered array:

Range = a_n − a₁

x = 1n n∑i=1 a_i

The median depends on whether the count n is odd or even:

{

Median = a_(n+1)⁄2 if n is oddMedian = a_n⁄2 + a_n⁄2+12 if n is even

Where a_i is the i-th element of the sorted array, n is the total count of valid numbers, and x is the arithmetic mean.

Reference Data

Sort Type	Order Rule	Example Input	Example Output	Use Case
Ascending (numeric)	a_i ≤ a_i+1	5, 2, 9, 1	1, 2, 5, 9	General ranking
Descending (numeric)	a_i ≥ a_i+1	5, 2, 9, 1	9, 5, 2, 1	Top-N lists
Lexicographic	Character code order	5, 12, 9, 100	100, 12, 5, 9	String sorting (not numeric)
Stable sort	Equal elements keep original order	3a, 1, 3b, 2	1, 2, 3a, 3b	Multi-key sorting
Bubble Sort	Adjacent swaps	Any	Ascending	Education (O(n²))
Insertion Sort	Shift and insert	Any	Ascending	Nearly sorted data (O(n²))
Merge Sort	Divide and merge	Any	Ascending	Guaranteed O(n log n)
Quick Sort	Pivot partition	Any	Ascending	Average O(n log n), in-place
Heap Sort	Binary heap extraction	Any	Ascending	In-place O(n log n)
Tim Sort	Hybrid merge + insertion	Any	Ascending	JS/Python default, adaptive
Counting Sort	Integer frequency count	Small-range integers	Ascending	O(n + k), non-comparative
Radix Sort	Digit-by-digit	Non-negative integers	Ascending	O(d ⋅ n)
Median (odd count)	Middle element after sort	3, 1, 2	2	Central tendency
Median (even count)	Average of two middle	4, 1, 3, 2	2.5	Central tendency
Percentile (P₂₅)	Value below which 25% fall	Sorted data required	Q1 value	Distribution analysis
Percentile (P₇₅)	Value below which 75% fall	Sorted data required	Q3 value	Distribution analysis

Frequently Asked Questions

By default, all duplicates are preserved in the sorted output. You can toggle the "Remove duplicates" option to eliminate repeated values before sorting. When duplicates are removed, only the first occurrence is kept, and the count shown in statistics reflects the unique set size.

The parser auto-detects commas, semicolons, spaces, tabs, and newlines as delimiters. You can mix delimiters in a single input - for example, pasting a column from a spreadsheet (newline-separated) works alongside comma-separated values. Any non-numeric, non-delimiter token is silently discarded, and a warning toast reports how many values were skipped.

Yes. Values like −3.14, −0.001, and 2.5e10 are parsed correctly via JavaScript's parseFloat, which conforms to IEEE 754. The sort places negative values before positive ones. Note that −0 and 0 are treated as equal by the comparator.

The tool caps input at 10,000 numbers to maintain browser responsiveness. JavaScript's built-in Array.sort uses TimSort with O(n log n) worst-case complexity, so 10,000 elements sort in under 5 milliseconds on modern hardware. If you exceed the limit, only the first 10,000 parsed values are used and a warning is displayed.

For an even count n, the median is the arithmetic mean of the two central elements: (a_n/2 + a_n/2+1) ÷ 2. For example, the sorted set {1, 3, 5, 7} yields a median of (3 + 5) ÷ 2 = 4.

Any token that parseFloat cannot convert to a finite number is discarded. Common culprits include currency symbols ($, €), percentage signs, text labels, or empty cells from spreadsheet copy-paste. The toast notification reports the exact count of skipped tokens so you can review your data.

The tool preserves the original string representation of each number in the output to avoid display rounding. However, the sort comparison uses IEEE 754 double-precision floats, which have approximately 15 - 17 significant decimal digits. Numbers differing only beyond that precision may appear equal to the comparator.