Student Test Scores

In analyzing the test score data for this hypothetical class, I first found the mean score for each test in the second half of the class (tests 6 through 10) and the standard deviation. I also found the mean and standard deviation for each student. To find the total average I found the mean of the student means. This value was approximately 191. I separated out the test scores of all the students who averaged below 191 on their last five tests. I used a line plot to graph their test scores for tests 6 through 10. These students all exhibited measurable improvement from test 6 to test 10, as can be seen in the graph. Katherine Hepburn improved immensely between tests 6 and 7, but then dropped again at test 8, but the other 11 students showed fairly steady improvement over the tests.

For the class as a whole, the standard deviation was fairly high for each of the tests (25-27), suggesting that on each test there was a wide range of scores. Since the below-average-scoring students improved their test scores over the time period, then the above-average-scoring students must have as well, to maintain a high standard deviation in test scores.

http://spreadsheets.google.com/pub?key=tFqZPSmVzS6X2CkECmYqDtg&output=html