Question

A group of 11 explorers share a treasure of a precious metal in terms of its weight as follows:

$3explorersgetaneighthofapoundeach,while5explorersgetaquarterpoundeach.Therestoftheexplorersgethalfapoundofthemetal,each.$

Plotting the given data as a line plot, we get _________

• A. None of the above
• B. Plot 3
• C. Plot 1
• D. Plot 2

Answer 1

The correct option is D Plot 2

From the given statement, we get the following data:

$\text{Total number of explorers}=11$
$\text{No. of explorers who get}\frac{1}{8}\text{lb of the metal}=3$
$\text{No. of explorers who get}\frac{1}{4}\text{lb of the metal}=5$
$\text{No. of explorers who get}\frac{1}{2}\text{lb of the metal}=11-(3+5)=11-8=3$

Tabulating the data, we get:

Quantity of precious metal	Number of explorers
$\frac{1}{8}\text{lb}$	3
$\frac{1}{4}\text{lb}$	5
$\frac{1}{2}\text{lb}$	3

Plotting the data on a line plot, we get:


Hence, the correct line plot is plot 2.