Common Core: S-ID.4
Problem 6 of 45s12-006
Egg weights on a farm follow a normal model with mean 58 grams and standard deviation 4 grams. By the 68-95-99.7 rule, about what percent of eggs weigh between 54 and 66 grams?
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Solution walkthrough2:07
- In a normal model, lie within SD of the mean, within , within , split evenly on each side.
- Count standard deviations: is SD below the mean, and is SDs above.
- From up to the mean is half of the middle : .
- From the mean up to is half of the middle : .
- Add the two sides: of eggs weigh between and grams.
- Traps: and treat both ends as the same distance. counts every egg above .