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2.4.6 Probabilities using the normal distribution (A-level only)

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Question 9

The scores of students in a physics olympiad, $S$ , 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.

[6]

Markscheme

2.4.6 Probabilities using the normal distribution (A-level only) Questions

A Level
Maths
2.4.6 Probabilities using the normal distribution (A-level only)

147 exam-style questions on OCR A Level Maths 2.4.6 Probabilities using the normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

2.4.6 Probabilities using the normal distribution (A-level only)

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2.4.6 Probabilities using the normal distribution (A-level only)

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Question 9

The scores of students in a physics olympiad, $S$ , 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.

[6]

Markscheme

2.4.6 Probabilities using the normal distribution (A-level only) Questions

A Level
Maths
2.4.6 Probabilities using the normal distribution (A-level only)

147 exam-style questions on OCR A Level Maths 2.4.6 Probabilities using the normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.