The table gives the mean and the standard deviation of the marks in three examinations. The marks in each of these examinations are normally distributed.
| Mean | Standard deviation | |
|---|---|---|
| Art | 70 | 5 |
| Music | 65 | 2.5 |
| Drama | 58 | 4 |
Lisa got a mark of 77 in the Art examination and a mark of 70 in the Music examination.
Calculate Lisa's standardised score in each of these two examinations.
Did Lisa do better in the Art examination or in the Music examination?
Give a reason for your answer.
For the Drama examination, Lisa's standardised score is -1.5.
Calculate Lisa's mark in the Drama examination.
Practise AQA GCSE Statistics Standardised Scores with exam-style questions for Foundation and Higher tier. 6 questions, matched to the AQA GCSE Statistics (8382) specification and written in Paper 1 and Paper 2 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.