The scores of students in a physics olympiad, SSS, follow a normal distribution. Data shows that 10% of students scored less than 45 marks, and 5% of students scored more than 85 marks.
Calculate the mean score and the standard deviation of the scores.
Practise Edexcel A Level Maths Finding the mean and standard deviation with exam-style questions for A Level Maths. 48 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.