Each has its advantages and disadvantages and the answer will depend on the nature of the data.
when is it appropriate to use arithmetic mean as opposed to median
When using the mean: the variance or standard deviation. When using the median: the range or inter-quartile range.
In the appropriate context, they do.
Mean filtering is linear but median filtering is non-linear.
the mean is the average of all the salaries an the the median is the number that falls in the middle
Either can be used for symmetrical distributions. For skewed data, the median may be more a appropriate measure of the central tendency - the "average".
The formula for statistics can vary depending on the specific statistic being calculated. Common formulas include mean (average), median (middle value), mode (most frequent value), standard deviation (measure of dispersion), and correlation coefficient (relationship between variables). It is important to determine the appropriate formula based on the data and the statistical analysis being conducted.
The median of two numbers is the same as their mean. In this case, 22.5
The median of 25 and 50 is also their arithmetic mean. 37.5
In a symmetric distribution, the mean and the median are the same. Otherwise there is no relation. In symmetric distributions with only one mode, the mode will coincide with the mean and median, but otherwise there is no relation.
Mean is the average, median is the middle. The get the mean just add up all the numbers and divide by how many numbers you added. The get median just find the middle number
yes median is the middle number of the group and mean is the avergage number of the group put together