If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Normal distribution: Area between two points

AP.STATS: VAR‑2 (EU), VAR‑2.B (LO), VAR‑2.B.3 (EK) CCSS.Math: HSS.ID.A.4
You might need: Calculator,Z table


A set of history exam scores are normally distributed with a mean of 83, point, 2 points and a standard deviation of 8 points.
What proportion of exam scores are between 82 and 89, point, 2 points?
You may round your answer to four decimal places.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text