Counted is a guess how many game you can't count in
A scene appears, books on a shelf or a crowd of people or grapes on a bunch, for just long enough to look at and never long enough to count. Then it goes dark and you say how many there were. It is a counting game that is really an estimation game: you go by the size of the group, the way you know a room holds about forty people without tallying them.
Your estimate is scored in proportion to the true count, so being ten off a hundred is a good round and ten off twelve is not. Five scenes a day, one look each, the same five for everyone.
Why big numbers come out low
Up to about four items, you know the number instantly without counting, an ability called subitizing. Past that, the brain switches to estimation, and its errors grow with the size of the group. Estimates of large groups also tend to fall short: a 2022 study in Attention, Perception & Psychophysics (Kilic and Inan) found systematic underestimation, which shrank when people were given feedback. Counted gives that feedback after every round.
How to estimate a count quickly
- Count one small patch, then multiply by how many patches fit in the scene.
- Use rows and shelves. Items in rows multiply cleanly.
- Nudge your number up for big groups, since the natural pull is low.
Questions
- How do you guess how many objects there are without counting?
- Count a small sample area, then scale it up to the whole scene. This beats a gut guess, which tends to fall short on large groups.
- Why do people underestimate large numbers?
- The brain represents large quantities on a compressed scale, so big groups feel smaller than they are. Feedback on your errors reduces the effect.
- How is Counted scored?
- In proportion to the true count, so being 10 off 100 is a good round and 10 off 12 is not.
- How long is each scene shown?
- Long enough to look at, never long enough to count. Then it goes dark and you give your number.
Counted is one of the free daily estimation games on Freehand. The others: Halved, cut it in half game; Dropped, projectile game; Angled, angle game; Timed, time estimation game; and Balanced, center of mass game.