Without doing any computations, which of the following distributions has the largest variance?
$\begin{array}{cccccc}
\hline X & f & Y & f & Z & f \
\hline 100 & 1 & 110 & 5 & 99 & 1 \
111 & 4 & 112 & 1 & 120 & 4 \
115 & 1 & 114 & 2 & 125 & 4 \
120 & 1 & 117 & 2 & 127 & 4 \
122 & 4 & 118 & 2 & 130 & 2 \
125 & 1 & 125 & 1 & 132 & 3 \
130 & 1 & 128 & 1 & 135 & 1 \
135 & 7 & 129 & 6 & 175 & 1 \
\hline
\end{array}$

Question

Without doing any computations, which of the following distributions has the largest variance?
 $\begin{array}{cccccc}
\hline X & f & Y & f & Z & f \
\hline 100 & 1 & 110 & 5 & 99 & 1 \
111 & 4 & 112 & 1 & 120 & 4 \
115 & 1 & 114 & 2 & 125 & 4 \
120 & 1 & 117 & 2 & 127 & 4 \
122 & 4 & 118 & 2 & 130 & 2 \
125 & 1 & 125 & 1 & 132 & 3 \
130 & 1 & 128 & 1 & 135 & 1 \
135 & 7 & 129 & 6 & 175 & 1 \
\hline
\end{array}$

Quizplus · Accepted Answer

The Answer of Without doing any computations, which of the following distributions has the largest variance?
 $\begin{array}{cccccc}
\hline X & f & Y & f & Z & f \
\hline 100 & 1 & 110 & 5 & 99 & 1 \
111 & 4 & 112 & 1 & 120 & 4 \
115 & 1 & 114 & 2 & 125 & 4 \
120 & 1 & 117 & 2 & 127 & 4 \
122 & 4 & 118 & 2 & 130 & 2 \
125 & 1 & 125 & 1 & 132 & 3 \
130 & 1 & 128 & 1 & 135 & 1 \
135 & 7 & 129 & 6 & 175 & 1 \
\hline
\end{array}$

Without Doing Any Computations, Which of the Following Distributions Has