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Which is best for averaging? Mean, Median, Mode and Range?

  • I was assigned a project for calculating mean, median, mode and range. I had to collect a data sample from 25 students at my school. The data was a single selection from 5 potential choices for the student's favorite PE game. I cannot make sense of the most effective of these averaging techniques given each student's answer was weighted the same and the choices are all different. Please help me make comparative sentences about these averaging techniques. There are X number of kids who chose mat ball. X number who chose football. X number who chose softball. ect.... So wouldn't the mean of the data really be the average number of votes per game??? I don't think that type of an average is relevant. Why would it matter what the average number of votes a game has? This doesn't seem to make much sense to calculate.

  • Answer:

    Mean is the average most people think about. Add up all the scores and divide by the number of scores. Let say the scores were 2, 3, 5, 3, 4, 1 and 4. The number of scores is 7. The sum total of all scores is 17. The average is 17 / 7 = 2.43. The median is the middle number between between the extreme answers. In the example above, the lowest = 1 and highest = 5. The number at midpoint is 3. If no one gave you an answer of 3, then you would pick the next nearest number, either 2 or 4. The Mode is the number most frequently scored. There are 2 scores of 3 and 2 scores of 4, so either 3 or 4 could be stated as the mode. The range is the difference between highest and lowest score. In this case the range = 4. Your teacher probably wants you to understand there are three ways to define an "average" with mean, median and mode. The choice of how to report statistics is a matter of what information do you, the reporter, want to convey. good luck

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Mean is the average most people think about. Add up all the scores and divide by the number of scores. Let say the scores were 2, 3, 5, 3, 4, 1 and 4. The number of scores is 7. The sum total of all scores is 17. The average is 17 / 7 = 2.43. The median is the middle number between between the extreme answers. In the example above, the lowest = 1 and highest = 5. The number at midpoint is 3. If no one gave you an answer of 3, then you would pick the next nearest number, either 2 or 4. The Mode is the number most frequently scored. There are 2 scores of 3 and 2 scores of 4, so either 3 or 4 could be stated as the mode. The range is the difference between highest and lowest score. In this case the range = 4. Your teacher probably wants you to understand there are three ways to define an "average" with mean, median and mode. The choice of how to report statistics is a matter of what information do you, the reporter, want to convey. good luck

R_Crumb_...

the best for averaging would be the median because it is right in the middle of the numbers you have. when finding the mean you would still get the same number as the median except it would take really long. the range is just the difference between the maximum number in your data minus the minimum number in your set.

SharinganKakashi

The ONLY one that should be used for averaging would be the MEAN. The mode is the number that shows up the most. Median is the middle number and range is the maximum minus the minimum. These three would not work for averaging. In case you don't know, to get the mean, you just add all the numbers together and divide by the total numbers you have.

simplylies

The ONLY one that should be used for averaging would be the MEAN. The mode is the number that shows up the most. Median is the middle number and range is the maximum minus the minimum. These three would not work for averaging. In case you don't know, to get the mean, you just add all the numbers together and divide by the total numbers you have.

simplylies

the best for averaging would be the median because it is right in the middle of the numbers you have. when finding the mean you would still get the same number as the median except it would take really long. the range is just the difference between the maximum number in your data minus the minimum number in your set.

SharinganKakashi

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