MultiConvers

Statistics Calculator

One paste, the whole descriptive table: count, sum, mean, median, mode, range, min, max, and both sample and population variance and standard deviation. Use it as the combo view, not as a second copy of the four-summary page.

How to use

  1. Paste the list. Spaces, commas or new lines all work. Nothing is uploaded — the summary runs in the browser.
  2. Read the headline mean, then scan the details: count and sum first, then the other centres, then both spreads.
  3. When sample and population SD disagree, pick the one that matches whether the list is a subset or the whole group. Both are always shown.
  4. If you only needed the school four, or only one SD method, the dedicated pages are quieter. This page is for the full readout.

How it works

Think of this calculator as a single desk report, not a lesson on any one statistic. The mean-median-mode-range page stops at the four classroom summaries. The standard-deviation page asks you to choose n − 1 or n. Here you get those centres plus the extras a full descriptive dump usually includes: how many numbers landed (count), what they add to (sum), the two extremes (min and max), range, and then sample and population variance and SD side by side. You do not pick a method; you read both and decide afterwards.

That double spread is the reason to open this page instead of the four-summary tool. Sample variance and SD divide by n − 1 and need at least two numbers — otherwise the details say so. Population variance and SD divide by n and exist even for a list of one (the population SD is then 0). For 1, 2, 3 you should see mean 2, median 2, no unique mode, sample SD 1, and population SD √(2/3). A repeated value such as 1, 2, 2, 3 adds mode 2 without changing the idea that both spreads are still listed.

The extra fields change how you work. Count tells you whether an even-n median (average of two central values) is in play. Sum lets you check a total without a second pass. Min and max show which two values created the range, so a typo at one end is obvious. None of that is a hypothesis test, a regression, a z-score or a confidence interval. Those need a model or extra inputs this page never asks for.

Because both denominators appear, you can compare them on the same paste instead of flipping the dedicated SD tool twice. The two numbers converge as n grows; they look most different on short lists. If you already know you want only sample SD, the standard-deviation calculator with the method set to sample is the narrower tool. If a worksheet only asked for mean, median, mode and range, the four-summary page avoids the extra rows.

Nothing here plans a future sample size, counts permutations or walks an arithmetic sequence. Those are different jobs. This page summarises a finished list of numbers you already have.

Formula

Mean = Σx / n
Median = middle of the sorted list
Range = max − min
s² = Σ(x − x̄)² / (n − 1),  σ² = Σ(x − μ)² / n

Worked examples

  • 1, 2, 3

    1, 2, 3 → mean 2, median 2, sample SD 1, no unique mode

  • A repeated value

    1, 2, 2, 3 → mode 2

Useful notes

  • The dedicated standard-deviation page is better when you only want one method.
  • The average calculator is mean-only.
  • Sample SD and sample variance need at least two numbers; both methods are listed rather than chosen.

FAQ

What is the difference between sample and population SD?

Sample divides by n − 1. Population divides by n. Both are shown here so you can choose.

What if every number is different?

There is no unique mode. The page says so instead of listing every value.

Are the numbers uploaded?

No. The list is summarised in your browser.

Why not just use the mean-median-mode-range calculator?

That page is the school quartet only. This one adds count, sum, min, max, and both sample and population variance and standard deviation from the same paste.

Does this run a t-test or fit a line?

No. It is a descriptive summary of the list. Inferential tools (z-interval, sample-size plan) and sequences live on their own pages.

Guides

Related tools

See all Statistics tools.