From the scores at the right: $$\begin{array} { r r }
\mathrm { X } & f \
\hline 12 & 2 \
11 & 2 \
10 & 4 \
9 & 7 \
8 & 4 \
6 & 2 \
5 & 1
\end{array}$$
a. Compute $\sigma$ using the deviation method.
b. Compute $\hat { S }$ using the raw-score method
c. $\hat { S }$ is larger than $\sigma$ . Why must this be so?
d. What is the variance (use $\hat { S }$ )
e. Compute IQR.

Question

From the scores at the right: $$\begin{array} { r r } 
\mathrm { X } & f \
\hline 12 & 2 \
11 & 2 \
10 & 4 \
9 & 7 \
8 & 4 \
6 & 2 \
5 & 1
\end{array}$$ 
a. Compute $\sigma$ using the deviation method.
b. Compute $\hat { S }$ using the raw-score method 
c. $\hat { S }$ is larger than $\sigma$ . Why must this be so? 
d. What is the variance (use $\hat { S }$ ) 
e. Compute IQR.

Quizplus · Accepted Answer

The Answer of From the scores at the right: $$\begin{array} { r r } 
\mathrm { X } & f \
\hline 12 & 2 \
11 & 2 \
10 & 4 \
9 & 7 \
8 & 4 \
6 & 2 \
5 & 1
\end{array}$$ 
a. Compute $\sigma$ using the deviation method.
b. Compute $\hat { S }$ using the raw-score method 
c. $\hat { S }$ is larger than $\sigma$ . Why must this be so? 
d. What is the variance (use $\hat { S }$ ) 
e. Compute IQR.

From the Scores at the Right Xf12211210497846251\begin{array} { r r } \mathrm { X } & f \\\hline 12 & 2 \\11 & 2 \\10 & 4 \\9 & 7 \\8 & 4 \\6 & 2 \\5 & 1\end{array}X1211109865​f2247421​​

From the Scores at the Right $\begin{array} { r r } \mathrm { X } & f \\\hline 12 & 2 \\11 & 2 \\10 & 4 \\9 & 7 \\8 & 4 \\6 & 2 \\5 & 1\end{array}$