Mr. C gave a test in Physics. Scores for the class are as follows: 76, 55, 73, 93, 29, 74, 57, 34, 54, and 75 out of a possible 100 points. Assume scores from this test are normally distributed.
1. Find the Median, Mean, and Standard Deviation of these 10 values. Round to one decimal place if needed. Indicate which is the mean and which is the median. Even though this is the entire class, use the “sample” method when finding the Standard Deviation. Show your work! If you use technology to find the Standard Deviation, then explain how to compute it.
2. Which three scores are the “most unusual”? Use z-scores to support your answer. Show all the values you calculated to support your answer. Round any z-scores in your answer to two decimal places.
3. If this set of scores is representative of all Physics classes Mr. Z has (in other words, with the same mean and same standard deviation), on average what percent of students pass this test? (Passing is 60% minimum.) Use technology or Standard Normal table to find probabilities and show all your reasoning to answer the question. List z-score and percent probability to 2 decimal places or decimal probability to 4 decimal places
