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What we call mean and can call average is also known as the arithmetic mean.
Is mean the same as average math. Average is usually used in casual english conversation while mean is usually used in technical. This is because even though mean refers to the same thing as average by default there are other forms of it such as the geometric or harmonic mean. Mean is basically a form of describing an average of the sample. One of the most common is taking the average by adding the values of all the numbers in the group and then dividing by the number of values.
In fact even in mathematics there are different averages or means and this one is more properly called the. A statistician or mathematician would use the terms mean and average to refer to the sum of all values divided by the total number of values what you have called the average. Average can be in mean arithmetic mean median or mode. Mean can be in many various types too but only the arithmetic mean is considered as a form of average.
In statistics there is no difference between the mean and average. In statistics the definition of the mean is similar to the average. But it can also be defined as the sum of the smallest value and the largest value in the given data set divided by 2. This especially true if you have a list of numbers.
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