Find the number of standard deviations from the mean. Round your answer to two decimal places.
-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?
A) 1.76 standard deviations below the mean
B) 1.76 standard deviations above the mean
C) 1.00 standard deviations above the mean
D) 1.00 standard deviations below the mean

Question

Quizplus · Accepted Answer

To find the number of standard deviations from the mean, we use the formula z = (x - μ) / σ where x is Tyler's consumption (11 pounds), μ is the mean (8 pounds), and σ is the standard deviation (1.7 pounds). 
z = (11 - 8) / 1.7 = 1.76 
This means that Tyler's consumption is 1.76 standard deviations above the mean. Therefore, the best choice is B, 1.76 standard deviations above the mean.

Find the Number of Standard Deviations from the Mean