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Standard Deviation Example using Dogs and Exam Results

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7. Suppose the weight of a dog breed is approximately normally distributed, with a mean of 75 pounds and a standard deviation of 2.4 pounds. Complete the normal curve for 3 standard deviations

b. What percent of dogs weigh less than 77.4 pounds?
c. What percent of dogs weigh more than 70.2 pounds?
d. What percent of dogs weigh between 70.2 and 75 pounds?
e. What weight represents the 16th percentile?

8. Jennifer scored a 60 on her Spanish exam. The class average was a 74 with a standard deviation of 7.
a. Find the test statistic (z-score) that corresponds to Jennifer's score on the exam. Round to tow decimal places.
b. Draw Jennifer's test statistic (z-score) on the curve below and shade the area that represents her score or higher.
c. What percent of students scored greater than or equal to a 60?
d. What percentile is Jennifer in? Interpret this result.

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Solution Summary

All solutions, graphs and computations are in the files attached using the examples of dog weights and exam results.

Solution provided by:
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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