Consider the following observations on shear strength of a joint bonded in a particular manner: $$\begin{array} { l l l l l l l l l l l }
30.0 & 4.4 & 33.1 & 66.7 & 81.5 & 22.2 & 40.4 & 16.4 & 73.7 & 36.6 & 109.9
\end{array}$$
a. Determine the value of the sample mean.
b. Determine the value of the sample median. Why is it so different from the mean?
c. Calculate a trimmed mean by deleting the smallest and largest observations. What is the corresponding trimming percentage? How does the value of this
compare to the mean and median?

Question

Consider the following observations on shear strength of a joint bonded in a particular manner: $$\begin{array} { l l l l l l l l l l l } 
30.0 & 4.4 & 33.1 & 66.7 & 81.5 & 22.2 & 40.4 & 16.4 & 73.7 & 36.6 & 109.9
\end{array}$$ 
a. Determine the value of the sample mean.
b. Determine the value of the sample median. Why is it so different from the mean?
c. Calculate a trimmed mean by deleting the smallest and largest observations. What is the corresponding trimming percentage? How does the value of this  
compare to the mean and median?

Quizplus · Accepted Answer

The Answer of Consider the following observations on shear strength of a joint bonded in a particular manner: $$\begin{array} { l l l l l l l l l l l } 
30.0 & 4.4 & 33.1 & 66.7 & 81.5 & 22.2 & 40.4 & 16.4 & 73.7 & 36.6 & 109.9
\end{array}$$ 
a. Determine the value of the sample mean.
b. Determine the value of the sample median. Why is it so different from the mean?
c. Calculate a trimmed mean by deleting the smallest and largest observations. What is the corresponding trimming percentage? How does the value of this  
compare to the mean and median?