Which value turns up most often? Paste numbers or words to get the mode with its count and share, see bimodal and no-mode lists named as such, and group measurements that never repeat.
Mode Calculator - Most Frequent Value, Bimodal or None
Which value turns up most often? Paste numbers or words to get the mode with its count and share, see bimodal and no-mode lists named as such, and group measurements that never repeat.
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The most common value in a list, and the cases where there is none
Nine pairs of shoes sold on a Saturday, in sizes 38, 39, 40, 40, 41, 41, 41, 42 and 43: the mode is 41, because it turns up 3 times, which is 33.3% of the sales. Paste numbers or category names, and the calculator returns the mode with its count and share, flags lists that have two modes or none at all, shows what Excel's MODE.SNGL and MODE.MULT would return for the same numbers, and can group continuous measurements into classes when nothing repeats exactly.
Six boxes, and only the first one is required
- Data - numbers separated by spaces, commas or new lines, or categories one per line. Semicolons also separate entries, which keeps answers like "very good" in one piece.
- Read the list as - leave it empty and the tool decides; choose categories when numbers are really labels, such as jersey numbers or zip codes.
- Letter case - only matters for words. If "Yes" and "yes" both appear and this is empty, the tool asks you rather than guessing.
- Class width - optional, for measured data where nothing repeats. A width of 0.1 puts 12.31 and 12.38 in the same class.
- Sort the table by - count or value. It changes the order of the rows, never the answer.
- Read the result - the headline gives the mode, the tiles give its count and share, and the verdict names the shape: unimodal, bimodal, multimodal or no mode.
Finding a mode by hand, the way the tool does it
For 1, 2, 2, 2, 3, 3, 4, 5 (people per household on one street) the tally reads 1: 1, 2: 3, 3: 2, 4: 1, 5: 1.
Here only 2 reaches 3, so the street has one mode: 2 people, in 37.5% of the homes.
If every value appears once, nothing is typical. If every value appears the same number of times, such as 1, 1, 2, 2, 3, 3, nothing stands out either, and the calculator reports no mode instead of listing all three.
The same street gives a median of 2.5 and a mean of 2.75. The mean sits above the median because of the single five-person home, a hint of a longer tail on the high side.
Mode, median or mean: which average answers your question
All three are called averages, but they answer different questions. The table sets them side by side.
| Property | Mode | Median | Mean |
|---|---|---|---|
| Works on words | Yes | Only if the words have an order | No |
| Is always one of your values | Yes | Not always with an even count | Rarely |
| Moves when one extreme value changes | No | No | Yes |
| Can be missing or come in pairs | Yes | No | No |
| Best question it answers | What do most people pick? | What does the middle case look like? | What is the total spread evenly? |
| Verdict | Stock and sizes: mode. Incomes and house prices: median. Budgets and totals: mean. | ||
What a spreadsheet returns for the same list
Excel and Google Sheets have two mode functions. MODE.SNGL gives one number, MODE.MULT gives every tied value, and both skip text. The rows below use short lists such as 5, 5, 5, 7, 7.
| Your list | MODE.SNGL | MODE.MULT | This calculator |
|---|---|---|---|
| Five repeated three times, seven twice | 5 | 5 | 5 |
| Five and seven twice each, nine once | 5 | 5 and 7 | 5 and 7, bimodal |
| Every value twice | 1 (the first one listed) | 1, 2 and 3 | No mode |
| Nothing repeats | #N/A | #N/A | No mode |
| A column of words | #N/A, text is skipped | #N/A | The most common word |
Five lists and what the calculator says about each
Result: very good, 3 of 6 answers, 50.0%. No median or mean, because these are labels.
Result: bimodal, 5 and 7, 40.0% each and 80.0% together. Excel's MODE.SNGL shows only 5, the tied value that comes first.
Result: no mode, every number rolled appears twice. MODE.SNGL would still print 1.
Result: no exact mode, modal class 12.5 to 12.6 with 3 values, grouped estimate 12.566667.
Result: 0.2 and 0.3 tie at 2 each. The long binary leftover counts as 0.3.
The grouped estimate uses the classic formula L + (f1 - f0) / ((f1 - f0) + (f1 - f2)) × h. For the bolts the modal class starts at L = 12.5 with f1 = 3, the class below holds f0 = 1, the class above f2 = 2, and h = 0.1, so the estimate is 12.5 + 2 / 3 × 0.1 = 12.566667.
Mistakes that give the wrong mode
Things people ask about the mode
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