The formula to calculate `z`-scores can be rearranged to give
`mu = x-\sigma z`
| where | `mu` is the mean |
| `x` is the score | |
| `sigma` is the standard deviation | |
| `z` is the `z`-score |
- In an examination, Aaron achieved a score of 88, which corresponds to a `z`-score of 2.4.
- Substitute these values into the rearranged formula above to form an equation. (1 mark)
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- In the same examination, Brock achieved a score of 52, which corresponds to a `z`-score of –1.2.
- Using this information, form another equation and solve it simultaneously with the equation from part (a) to find the values of `mu` and `\sigma`. (3 marks)
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