The scores in a standardized mathematics test are normally distributed with a mean of 75 marks. It is known that 8% of the students score less than 54 marks.
Find the standard deviation of the test scores.
149 exam-style questions on OCR (MEI) A Level Maths 2.4.12 Calculate probabilities from a Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.