Scrabble Dictionary

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Yes, normal is playable

...and is worth 11 points.

Found in the following dictionaries

Enable (Words with friends)
SOWPODS (Collins Scrabble Words)
OTCWL2014 (NASPA Word List 2014)
TWL06 (NASPA List 2006)

"Normal" Definition

noun

An average.
Correspondence to a norm.
Mathematics A perpendicular, especially a perpendicular to a line tangent to a plane curve or to a plane tangent to a space curve.
Something normal; the standard: scored close to the normal.
The usual or expected state, form, amount, or degree.

adjective

Biology Functioning or occurring in a natural way; lacking observable abnormalities or deficiencies.
Chemistry Designating a solution having one gram equivalent weight of solute per liter of solution.
Chemistry Designating an aliphatic hydrocarbon having a straight and unbranched chain of carbon atoms.
Free from mental illness; sane.
Mathematics Being at right angles; perpendicular.

geographical name

Town Illinois of Bloomington 45,386.