what is a trimmed mean 
a trimmed mean similar to an adjusted mean is a method of averaging that removes a small designated percentage of the largest and smallest values before calculating the mean after removing the specified outlier observations the trimmed mean is found using a standard arithmetic averaging formula the use of a trimmed mean helps eliminate the influence of outliers or data points on the tails that may unfairly affect the traditional or arithmetic mean trimmed means are used in reporting economic data in order to smooth the results and paint a more realistic picture understanding a trimmed meana mean is a mathematical average of two or more numbers while the trimmed mean helps to reduce the effects of outliers on the calculated average the trimmed mean is best suited for data with large erratic deviations or extremely skewed distributions a trimmed mean is stated as a mean trimmed by x where x is the sum of the percentage of observations removed from both the upper and lower bounds the trimming points are often arbitrary in that they follow rules of thumb rather than some optimized method of setting those thresholds for example a trimmed mean of 3 would remove the lowest and highest 3 of values leaving the mean to be calculated from the 94 of remaining data a trimmed mean is seen as a more realistic representation of a data set as the few erratic outliers have been removed that could otherwise potentially skew the information a trimmed mean is also known as a truncated mean trimmed means and inflation ratesa trimmed mean may be used in place of a traditional mean when determining inflation rates from the consumer price index cpi or personal consumption expenditures pce 12 the cpi and the pce price index measure the prices of baskets of goods in an economy to help identify inflation rising price trends the levels that are trimmed from each tail may not be equitable as these values are instead based on historical data to reach the best fit between the trimmed mean inflation rate and the inflation rate s core the core of the cpi or pce refers to the selected products minus prices associated with food or energy food and energy costs are generally considered the most volatile also referred to as noisy items within the data shifts in the non core area are not necessarily indicative of overall inflationary activities 12