Coherent, a dime a dozen, able to think/reason clearly, and balanced are all synonyms for normal. Unusual and abnormal are antonyms of normal. And here are 55 another word for normal.
A dime a dozen, accustomed, average, bog-standard, common or garden, common, conventional, customary, daily, day-to-day, established, everyday, expected, fixed, garden-variety, habitual, homely, homespun, mainstream, middle-of-the-road, ordinary, plain vanilla, plain, prevailing, quotidian, regular, routine, run-of-the-mill, set, settled, simple, standard, stock, traditional, typical, unexceptional, unremarkable, usual, vanilla, wonted, workaday, and ornery are all synonyms for normal.
Able to think/reason clearly, balanced, coherent, compos mentis, in one's right mind, lucid, of sound mind, rational, right in the head, sane, well balanced, and all there are all another word for normal.
Normal synonym page has a variety of synonyms that differ in length. 1 synonym with 3, 4, and 24 letters and 6 synonyms with 5, 7, and 12 letters. 4 synonyms with 6 letters and 11 synonyms with 8 letters.
2 synonyms with 9, 13, 14, and 15 letters and 3 synonyms with 10 letters. 5 synonyms with 11 letters. For a total of 52 another word for normal.