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.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.