If every value occurs once, the list has no mode under the ordinary calculator convention. If two values tie for the highest frequency, it has two modes and is bimodal; three or more tied leaders make it multimodal. One value that occurs more often than every other value is the single mode. Mode describes frequency rather than numerical size, so SetStats counts exact values and keeps every tied leader instead of selecting the first one.

All unique values mean no mode

In 2, 3, 4 and 5, every value occurs once. No value is more frequent than another, so SetStats reports “no mode.” Calling every value a mode would add no information and conflicts with the ordinary calculator convention. This result does not mean the list is invalid; it only means frequency does not identify a distinguished repeated value. Count and sorted preview make the convention easy to verify.

A unique maximum frequency gives one mode

For 1, 2, 2, 3 and 8, the value 2 occurs twice while every other value occurs once. The mode is therefore 2 with frequency 2. The magnitude of 2 is not what makes it the mode; only its count does. Adding another 8 would create a tie rather than letting SetStats choose whichever value appears first in the input.

Tied maximum frequencies produce multiple modes

The list 10, 2, 38, 23, 38, 23, 21 has two modes: 23 and 38, each with frequency 2. SetStats normalizes equivalent decimal spellings such as 2, 2.0 and +2.00 before counting, then sorts tied modes numerically. Decimal mode must still match the input. A decimal comma list uses spaces or semicolons between values so commas remain part of each number.