The Kobold Dragonshield from the 4e Monster Manual has a bunch of ability scores that do not match the ability modifiers. For example, their Strength, is 14 (+3). Should it be 16(+3), or 14(+2)? Every single one of their ability scores are wrong like this.
Those modifiers include half the creature's level.
From the Monster Manual, p7 (emphasis mine):
This section shows the monster’s six ability scores, presented so that each vertical pair contributes to one of the three defenses (Fortitude, Reflex, and Will). Following each score in parentheses is the adjusted ability score modifier including one-half the monster’s level, which is useful whenever the monster needs to make an untrained skill check or an ability check.
As the Dragonshield is a level 2 creature, half its level rounded down is 1, so its modifiers for ability checks and untrained skill checks are increased by 1 over the base ability modifier (which is not used directly for any purpose, only included in calculating other bonuses).
Note further that the Kobold Slyblade, on the following page, is a level 4 creature and so all of its modifiers in the ability section are two higher than would be expected based on its ability scores.