Provide an appropriate response.
-A 1-pound bag of peanuts contains 430 peanuts. The distribution of weights in grams of the peanuts is given below . What is the mean weight of a peanut $\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Weights } \
\text { (grams) }
\end{array} & {\text { Frequency }} \
\hline 0.755-0.814 & 3 \
\hline 0.815-0.874 & 2 \
\hline 0.875-0.934 & 2 \
\hline 0.935-0.994 & 2 \
\hline 0.995-1.054 & 168 \
\hline 1.055-1.114 & 241 \
\hline 1.115-1.174 & 12 \
\hline
\end{array}$

A) $1.059 \mathrm {~g}$
B) $1.088 \mathrm {~g}$
C) $0.965 \mathrm {~g}$
D) $1.029 \mathrm {~g}$

Question

Provide an appropriate response.
-A 1-pound bag of peanuts contains 430 peanuts. The distribution of weights in grams of the peanuts is given below . What is the mean weight of a peanut $\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Weights } \
\text { (grams) }
\end{array} & {\text { Frequency }} \
\hline 0.755-0.814 & 3 \
\hline 0.815-0.874 & 2 \
\hline 0.875-0.934 & 2 \
\hline 0.935-0.994 & 2 \
\hline 0.995-1.054 & 168 \
\hline 1.055-1.114 & 241 \
\hline 1.115-1.174 & 12 \
\hline
\end{array}$

A) $1.059 \mathrm {~g}$
B) $1.088 \mathrm {~g}$
C) $0.965 \mathrm {~g}$
D) $1.029 \mathrm {~g}$

Quizplus · Accepted Answer

The mean weight of a peanut is the sum of the products of the weights and their frequencies divided by the total number of peanuts. In this case, the mean weight is:$$\frac{(0.755-0.814) \cdot 3 + (0.815-0.874) \cdot 2 + (0.875-0.934) \cdot 2 + (0.935-0.994) \cdot 2 + (0.995-1.054) \cdot 168 + (1.055-1.114) \cdot 241 + (1.115-1.174) \cdot 12}{430} = 1.059 \mathrm{~g}$$

Provide an Appropriate Response A) 1.059 g1.059 \mathrm {~g}1.059 g B) 1.088 g1.088 \mathrm {~g}1.088 g

Provide an Appropriate Response A) $1.059 \mathrm {~g}$ B) $1.088 \mathrm {~g}$