Determine proportions and percentiles from a normal distribution.
Example Problems
Tom took 4 exams. His mean was and his standard deviation was . What scores did Tom receive on his exams?
a. Write two sets of 5 different numbers that have the same mean but different standard deviations.
b. Write two sets of 5 different numbers that have the same standard deviations but different means.
b. Write two sets of 5 different numbers that have the same standard deviations but different means.
Jim has taken 4 exams in his Statistics class.
Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores.
| Exam | Score |
|---|---|
| 1 | 92 |
| 2 | 84 |
| 3 | 96 |
| 4 | 100 |
Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores.
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