The table below shows the distribution of weight measure for 100 students.
\begin{array}{|c|c|c|c|c|c|}
\hline Weight \(( kg )\) & \(60-62\) & \(63-65\) & \(66-68\) & \(69-71\) & \(72-74\) \\
\hline \(F\) & 5 & 18 & 42 & 27 & 8 \\
\hline
\end{array}
Calculate the mean of the distribution to two decimal places
A. \(64.45\)
B. \(62.45\)
C. \(67.45\)
D. \(65.45\)
Correct Answer: C
Explanation
\begin{aligned}
&\begin{array}{|c|c|c|c|c|c|}
\hline W 1 & 60-62 & 63-65 & 66-68 & 69-71 & 72-74 \\
\hline X & 61 & 64 & 67 & 70 & 73 \\
\hline \text { F } & 5 & 18 & 42 & 27 & 8 \\
\hline \text { Fx } & 305 & 1152 & 2814 & 1890 & 584 \\
\hline
\end{array} \\
&\quad \begin{array}{l}
x=\frac{\Sigma X}{\Sigma F}=\frac{6745}{100}=67.45
\end{array}
\end{aligned}
