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Word Problem:

In one town, the number of pounds of sugar consumed per person per year has a mean of $8$ pounds and a standard deviation of $1.7$ pounds. Henry consumed $11$ pounds of sugar last year. How many standard deviations from the mean is that?

The answer is: $1.76$ standard deviations above the mean, but how?

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  • $\begingroup$ Hint: what is a $z$-score? $\endgroup$ – Clarinetist Feb 26 '15 at 0:22
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By definition $z={X-\mu \over \sigma}={11-8 \over 1.7}=1.76$ We have expressed the difference in terms of standard deviations.

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  • $\begingroup$ How do I know if the standard deviation is Above or Below the mean? $\endgroup$ – thes4s Feb 26 '15 at 2:40

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