The trimmed mean is calculated by dropping a certain percentage of values from each end of a ranked data set. The trimmed mean is especially useful as a measure of central tendency when a data set contains a few outliers. Suppose the following data give the ages (in years) of 10 employees of a company:
To calculate the 10% trimmed mean, first rank these data values in increasing order; then drop 10% of the smallest values and 10% of the largest values. The mean of the remaining 80% of the values will give the 10% trimmed mean. Note that this data set contains 10 values, and 10% of 10 is 1. Thus, if we drop the smallest value and the largest value from this data set, the mean of the remaining 8 values will be called the 10% trimmed mean. Calculate the 10% trimmed mean for this data set.
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