2024 NYJC H1 Q6

2024 NYJC H1 Q6

4 marks

The masses in grams, of oranges sold at an orchard are normally distributed. \(26.5\)% of the oranges weighed more than \(160\) grams and \(7\)% of the oranges weighed less than \(145\) grams.

Find the mean and standard deviation of the mass of the oranges, leaving your answers correct to \(2\) decimal places.[4]

Solution:

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Answer:Mean 155.52 g; standard deviation 7.13 g (both 2 d.p.).

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