SOLUTION: A particular fruit's weights are normally distributed, with a mean of 582 grams and a standard deviation of 21 grams. The heaviest 20% of fruits weigh more than how many grams?

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Question 1187602: A particular fruit's weights are normally distributed, with a mean of 582 grams and a standard deviation of 21 grams.
The heaviest 20% of fruits weigh more than how many grams?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52817) About Me  (Show Source):
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Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


We are looking at the heaviest 20%, so we are looking at a percentile of 80, corresponding to approximately 0.842 standard deviations (use a calculator, or a z-score table).

The corresponding weight is (582+.0842(21)) = 584 grams, to the nearest whole number.

ANSWER (approximate): The heaviest 20% of the fruits weigh 584 or more grams