• arrays of real may be created by coercing a standard AppleScript list of real numbers with as array of real. Conversely you make an array of real into a list of real using as list of real.

  set a to {1.0, 2.0, 3.0} as array of real
  class of a
  -- array of real
  
  class of (a as list of real)
  -- list

  The coercion also works on lists of strings.

  set a to {"1", "2", "3"} as array of real

• To create an array of real from scratch, use createarray.

  set a to createarray 3
  a as list of real
  -- {0.0, 1.0, 2.0}
  
  set a to createarray 101 range {0.0, 1.0}
  a as list of real
  -- {0.0, 0.01, ..., 1.0}

• To create a random array of real, use randomarray.

  set a to randomarray 3 range {-1.0, 1.0}
  a as list of real
  -- {-0.273627072573, 0.7373893857, 0.359039396048}