Solve the problem.
-The data below consists of the heights (in inches) of 20 randomly selected women. Find the 10% trimmed mean of the data set. The 10% trimmed mean is found by arranging the data in order, deleting the bottom 10% of the
Values and the top 10% of the values and then calculating the mean of the remaining values. $\begin{array} { l l l l l l l l l l } 67 & 68 & 64 & 61 & 65 & 64 & 70 & 67 & 62 & 63 \end{array}$
$\begin{array} { l l l l l l l l l l } 61 & 64 & 75 & 67 & 60 & 59 & 64 & 68 & 65 & 71 \end{array}$
A) 52.0 in.
B) 65.1 in.
C) 65.3 in.
D) 65.0 in.

Question

Quizplus · Accepted Answer

We need to first find out the bottom and top 10% of the data set. Since we have 20 values, 10% of that is 2. We need to remove the smallest 2 and largest 2 values from the data set.
After removing the values, the data set becomes:
$\begin{array} { l l l l l l l l } 64 & 61 & 65 & 64 & 67 & &  &  &  \  &  &  64& 68 & 65 &  & 67 & 71 &  \end{array}$
Now, we can calculate the mean of the remaining values:
$\frac{64+61+65+64+67+64+68+65+67+71}{10}$ = 65.1
Therefore, the 10% trimmed mean of the data set is 65.1 inches. Option D is correct.

Solve the Problem 67686461656470676263\begin{array} { l l l l l l l l l l } 67 & 68 & 64 & 61 & 65 & 64 & 70 & 67 & 62 & 63 \end{array}67​68​64​61​65​64​70​67​62​63​

Solve the Problem $\begin{array} { l l l l l l l l l l } 67 & 68 & 64 & 61 & 65 & 64 & 70 & 67 & 62 & 63 \end{array}$