Approximate the Variance and Standard Deviation of a Variable from Grouped

Multiple Choice

Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-A 1-pound bag of peanuts contained 430 peanuts. The distribution of weights (in grams) of the peanuts is given below . What is the sample standard deviation of the 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) $0.045 \mathrm {~g}$
B) $0.002 \mathrm {~g}$
C) $0.209 \mathrm {~g}$
D) $0.000004 \mathrm {~g}$