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The mode is the most probable value, or the peak of the probability distribution curve. There might be more than one mode if the curve has more than one peak.

The mean is the arithmetic average of all obervations. If the probability curve is symmetrical, the mean will be the same as the mode, or the same as the average of the modes.

The median is the average of the two furthest outliers. Again, if the curve is symmetrical, the median, mode, and mean are all equal.

Outliers, errors, fluctuations, assymmetries - they all change or tilt the results. Which method you use depends on what you want to know, and on how you want to use the results.

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Q: Compare the mode mean and median to determine which is the best to use?
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Related questions

How do you compare median to the mean in this set 10 8 8 8 4 6 9 3?

median = 8 mean = 7 mean < median.


How does the mean compare to the median?

The mean and the median are both involved with a set of numbers. The mean refers to the average of the numbers. The median refers to the middle number of the numbers


How does the mean and the median compare?

mean is the average of a bunch of numbers. the median is the middle number of the bunch. if the bunch has an even amount of numbers, you average the middle 2 numbers to get the median.


How do you determine how the outlier affects the mean median mode and range?

Calculate the mean, median, and range with the outlier, and then again without the outlier. Then find the difference. Mode will be unaffected by an outlier.


How can you determine which measure of central tendency is best for the set if data?

Mean- If there are no outliers. A really low number or really high number will mess up the mean. Median- If there are outliers. The outliers will not mess up the median. Mode- If the most of one number is centrally located in the data. :)


Why do you use box and whisker plots?

Because you can compare the values easily, for instance, you can compare the highest and lowest value and compare this to the mean, does the highest and lowest value differ greatly from the mean? Then you know the correlation is a bit unpredictable, you can also use this to compare two box plots, putting them together you can see through the median and quartile range the best way to do something, etc.


What is the use of mean median and mode in business and industries?

mean can be used in business and industries for comparing purposes. mode as it gives us the value which occurs most often, it can be use to determine the shoe sizes especially in shoe manufacturing industries. median is used to determine the skewness of data


What is the uses of mean median and mode in business and industries?

mean can be used in business and industries for comparing purposes. mode as it gives us the value which occurs most often, it can be use to determine the shoe sizes especially in shoe manufacturing industries. median is used to determine the skewness of data


How do mean deviation from median?

The mean deviation from the median is equal to the mean minus the median.


What is advantages and disadvantages of quartiles?

The advantage is that you will have the same number in each quartile. The disadvantage is that you will not be able to determine the median or mean.


Compare and contrast mode mean and median?

Mean = average formed by adding values together and dividing by the total number of values Mode = the most popular value Median = line up all values in order and take the middle value


Explain why the mean does not best represent the data?

well because in the mean you have to add them and its different from the median and the mode