$$\begin{array} { | c | c | }
\hline \text { Weight (pounds) } & \text { Frequency } \
\hline 6 & 1 \
\hline 7 & 2 \
\hline 8 & 2 \
\hline 9 & 5 \
\hline 10 & 3 \
\hline 11 & 2 \
\hline 12 & 1 \
\hline
\end{array}$$ A mutant cat that weighs 8 pounds has a deviation score of:
A) 1
B) 0
C) -1
D) -4

Question

$$\begin{array} { | c | c | } 
\hline \text { Weight (pounds) } & \text { Frequency } \
\hline 6 & 1 \
\hline 7 & 2 \
\hline 8 & 2 \
\hline 9 & 5 \
\hline 10 & 3 \
\hline 11 & 2 \
\hline 12 & 1 \
\hline
\end{array}$$ A mutant cat that weighs 8 pounds has a deviation score of:
A) 1
B) 0
C) -1
D) -4

Quizplus · Accepted Answer

The mean weight of the cats is $$
\frac{6+7	imes2+8	imes2+9	imes5+10	imes3+11	imes2+12}{1+2+2+5+3+2+1}=\frac{83}{15}=5\frac{8}{15}
$$
Therefore, the deviation score of a cat weighing 8 pounds is $$
\frac{8-5\frac{8}{15}}{1.57}\approx -1.01
$$
The closest choice to this value is C) -1.

A Mutant Cat That Weighs 8 Pounds Has a Deviation