The science test grades are posted for 300 students. The class did very well. All students taking the test scored over 75. Unfortunately, 6 students were absent from the test, and the computer listed their scores as 0 until the test was taken. Assuming that you have no way to get rid of the zeroes from the data set and no score is repeated more times than the 0's, what measure of central tendency would most likely give the best representation of this data?
Question
The science test grades are posted for 300 students. The class did very well. All students taking the test scored over 75. Unfortunately, 6 students were absent from the test, and the computer listed their scores as 0 until the test was taken. Assuming that you have no way to get rid of the zeroes from the data set and no score is repeated more times than the 0's, what measure of central tendency would most likely give the best representation of this data?
Solution
The best measure of central tendency for this data would be the median. The median is the middle score for a set of data that has been arranged in order of magnitude. It is less affected by outliers and skewed data. In this case, the 0 scores of the 6 absent students are outliers and do not represent the actual performance of the class. Therefore, using the median would give a better representation of the data.
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