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The marks of 800 candidates in an examination were normally distributed with a mean of 45...

  1. The marks of 800 candidates in an examination were normally distributed with a mean of 45

marks and standard deviation of 20 marks.

  1. If 5% of the candidates obtained a distinction by scoring X marks or more, estimate the value of X ;            [4 Marks]
  2. Estimate the interquartile range of the marks.                        [6 Marks]
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