Question 1180148: The weight distribution of a sample of adults with physical inabilities is approximately normal, with mean 72 and standard deviation 8. Find an interval of values around the mean such that it
i. Includes 95 percent of the observed values
ii. Includes almost all observed values (and thus coincides with the range, min-max).
iii. Includes 50 percent of the observed values.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! this would be within +/-1.96 sd or +/-15.68 units
(56.32, 87.68) units
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this would be within +/- 3 sd s or (48, 96). Note: other values near +/- 3 sd would be possible, too.
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this would be z(-0.674)=0.2500 and z (+0.674)=0.7500
this would be +/-5.39 or (66.61, 77.39) ounces.
Also, one could use 0 to 50th percentile as well, since that is also half the observed values, but presumably the question is for the middle two quartiles.
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