SOLUTION: Samples of wires coming off the production line were tested for tensile strength. the statistical results ( in PSI) were: Arithmetic mean = 500; Mode=500; Quartile deviation=25;

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Question 189965: Samples of wires coming off the production line were tested for tensile strength. the statistical results ( in PSI) were:
Arithmetic mean = 500; Mode=500; Quartile deviation=25; Range=240; Median=500; Standard deviation=40; Mean deviation=32; Number in sample=100.
According to the empirical Rule, The middle 95% of the wires tested between approximately what two values?
Answer by stanbon(75887) About Me  (Show Source):
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Samples of wires coming off the production line were tested for tensile strength. the statistical results ( in PSI) were:
Arithmetic mean = 500; Mode=500; Quartile deviation=25; Range=240; Median=500; Standard deviation=40; Mean deviation=32; Number in sample=100.
According to the empirical Rule, The middle 95% of the wires tested between approximately what two values?
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95% of the measurements are within 2 standard deviations of the mean.
mean-2(stand dev) = 500-2(40) = 420
mean+2(stand dev) = 500+2(40) = 580
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Ans: between 420 and 580
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Cheers,
Stan H.