Mean scores determine the average performances of students or athletes, amongst other applications. You can convert mean scores to percentages that indicate the average percentage of the score relative to the total score. You can also convert mean scores to percentages to show the performance of a score relative to a specific score. Comparing a mean score to the highest score with a percentage is useful for statistical analysis.
Compare individual scores to the mean score by similar means to provide further methods of analysis.
Find the mean score if not already determined. Add all the scores (x1, x2, x3 and so on, the xi values) and divide by the total number of scores or "n" to find the mean score. The formula is:
Determine the score you want to compare the mean score to. You may compare the mean score with the highest possible score, the highest score or a specific score. For example, say you want to compare a mean score of 65 to the highest score of 98.
Divide the mean score by the score you chose in step 2. Work out
Multiply the decimal you obtain in step 3 by 100 to convert to a percentage. Work out
Round the percentage to the nearest whole number (66) if you wish. Your mean score as a percentage is 66 percent.
- Individual scores can be compared to the mean score by similar means to provide further methods of analysis.
About the Author
Edward Ha is a undergraduate student at MIT pursuing a degree in chemical engineering and management. Ha writes to solve problems and help others. He has written articles for various forms of his school publications, including SIS Publications and SIS Kaleidoscope (2008). As a research assistant, Ha wrote, edited and translated papers.