calculate a 15 trimmed mean from the 10 samples below 590 81

calculate a 15% trimmed mean from the 10 samples below.

590 815 575 608 350 1285 408 540 555 679

Solution

Given,

Trimmed Mean Percent = 15/100 = 0.15 Sample Size=10

Let us first calculate the value of Trimmed count,

Write down the given set of numbers {590,815,575,608,350,1285,408,540,555,679} in ascending order, = 350,408,540,555,575,590,608,675,815,1285. As the trimmed count is 1, we should remove one number from the beginning and end. So, we remove first number(350) and last number(1285) from the above set of numbers, = 408,540,555,575,590,608,675,815

Next,

Now, calculate the Trimmed Mean denoted as ? ? = ? X_i / n ? = (Sum of your Trimmed Set / Total Numbers in Trimmed set) ? = (408+540+555+575+590+608+675+815 ) / 8 ? = 4766 / 8 ? = 595.75

trimmed mean is:595.75