You shouldn't use the mean in a data set when there's an outlier in the data set. If an outlier is present it will drag the mean either up or down, making the average seem higher or lower than it really is, therefore making it unreliable. HOWEVER:
If you WANT to make the average of the data appear higher or lower (like if you're trying to convince your parents/boss to give you a raise in allowance/salary, and you show them the average income of your peers compared to your average income, you would want your income to appear much less compared to the others), then you should use the mean with as many outliers as possible in order to drag the average up or down.
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mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
You can use the mean to answer some statistical questions: it is a measure of the central tendency of a set of data. However, it is no good in identifying the maximum value of a set of data, for example.
Some formulas statisticians may use are population mean, sample mean, variance, and standard deviation. They may also use linear regression line and standard error equations. Another can be the mean value of a data set, where one adds all data points given in a set and divides this number by the number of data points in the set.
What is the convenient scale and interval to use for graphing each set of data set?
It is easy to use in further analysis calculation can be done easily using arithmetic mean is unique value for each data set