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. Tyler consumed 11 pounds of sugar last year. How many standard deviations from the mean is that?

Respuesta :

Answer:

Tyler consumed 1.764 standard deviations of sugar from the mean.

Step-by-step explanation:

We are given the following in the question:

Mean = 8 pounds per year

Standard Deviation = 1.7 pounds per year

Sugar consumed by Tyler = 11 pounds

We have to find the relation of standard deviation and mean sugar consumed by Tyler.

[tex]11 = 8 + x(1.7)\\1.7x = 11-8\\1.7x = 3\\\\x = \dfrac{3}{1.7}\\\\x = 1.764[/tex]

Thus, Tyler consumed 1.764 standard deviations of sugar from the mean.

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