The Collaborative International Dictionary of English v.0.48:

Ragged \Rag"ged\ (r[a^]g"g[e^]d), a. [From Rag, n.]
   1. Rent or worn into tatters, or till the texture is broken;
      as, a ragged coat; a ragged sail.
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   2. Broken with rough edges; having jags; uneven; rough;
      jagged; as, ragged rocks.
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   3. Hence, harsh and disagreeable to the ear; dissonant. [R.]
      "A ragged noise of mirth." --Herbert.
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   4. Wearing tattered clothes; as, a ragged fellow.
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   5. Rough; shaggy; rugged.
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            What shepherd owns those ragged sheep? --Dryden.
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   Ragged lady (Bot.), the fennel flower (Nigella
      Damascena).

   Ragged robin (Bot.), a plant of the genus Lychnis
      (Lychnis Flos-cuculi), cultivated for its handsome
      flowers, which have the petals cut into narrow lobes.

   Ragged sailor (Bot.), prince's feather (Polygonum
      orientale).

   Ragged school, a free school for poor children, where they
      are taught and in part fed; -- a name given at first
      because they came in their common clothing. [Eng.]
      [1913 Webster] -- Rag"ged*ly, adv. -- Rag"ged*ness, n.
      [1913 Webster] Raggie

WordNet (r) 3.0 (2006):

raggedness
    n 1: a texture of a surface or edge that is not smooth but is
         irregular and uneven [syn: roughness, raggedness] [ant:
         smoothness]
    2: shabbiness by virtue of being in rags