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The mean is not always better. It is better in the sense that it uses information from each observation but that also means that it is more likely to be distorted by outliers.
Under the law of large numbers the mean has some very useful and well understood properties and that make it a good test statistic.
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How does the outlier affect the mean and median?
The mean is better than the median when there are outliers.
Why is the median better than the mean?
It shows the middle number in a number group rather than the average score in a number group. It isn't exactly better than the mean because they are often very close numbers. But at other times, one number in a group messes up the mean if it is too low or too high, so you can get a better answer by finding out the median.
Can the median ever be higher than the mean?
Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.
What are some numbers that the mean is bigger than the median and the median is greater than the mode?
7,6,4,92,57,32
What number has a range of 5a median of 16 and a mean of 15?
A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean. A single number cannot have a range (other than 0), nor can it have a median that is different from its mean.
