Question

Find the 10% trimmed mean of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

MLB Batting Averages 0.278 0.285 0.299 0.304 0.306 0.306 0.306 0.308 0.309 0.310 0.313 0.313 0.315 0.317 0.317 0.318 0.322 0.322 0.324 0.326

Answer 1

To find the 10% trimmed mean 1st we arrange the data in ascending order which is already done

n = 20 (number of data)

So, to find 10% trimmed mean we remove the smallest 2 values and the largest 2 values from the data and find their mean

After removing the smallest 2 values and the largest 2 values from the data we have :

0.299 , 0.304 , 0.306 , 0.306 , 0.306 , 0.308 , 0.309 , 0.310 , 0.313 , 0.313 , 0.315 , 0.317 , 0.317 , 0.318 , 0.322 , 0.322

After removing, n = 16 (as 20- 2 - 2=16)

Let denotes the ith value of the data after removing

Now we find their mean

Answer: The 10% trimmed mean of the data is 0.3116