Question

The data of a certain number of kids spending time on playing games is shown in the table given below. Select the option showing the correct line plot for this data.

	Time taken (h)
$\frac{1}{3}$	$\frac{3}{8}$	$\frac{5}{15}$	$\frac{2}{18}$
$\frac{1}{6}$	$\frac{5}{30}$	$\frac{4}{12}$	$\frac{3}{9}$
$\frac{1}{9}$	$\frac{2}{18}$	$\frac{5}{45}$	$\frac{4}{36}$

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Time taken (h)	Equivalent fraction
$\frac{1}{3}$	$\frac{1}{3}$
$\frac{3}{18}$	$\frac{3}{18}=\frac{3÷3}{18÷3}=\frac{1}{6}$
$\frac{5}{15}$	$\frac{5}{15}=\frac{5÷5}{15÷5}=\frac{1}{3}$
$\frac{2}{18}$	$\frac{2}{18}=\frac{2÷2}{18÷2}=\frac{1}{9}$
$\frac{1}{6}$	$\frac{1}{6}$
$\frac{5}{30}$	$\frac{5}{30}=\frac{5÷5}{30÷5}=\frac{1}{6}$
$\frac{4}{12}$	$\frac{4}{12}=\frac{4÷4}{12÷4}=\frac{1}{3}$
$\frac{3}{9}$	$\frac{3}{9}=\frac{3÷3}{9÷3}=\frac{1}{3}$
$\frac{1}{9}$	$\frac{1}{9}$
$\frac{2}{18}$	$\frac{2}{18}=\frac{2÷2}{18÷2}=\frac{1}{9}$
$\frac{5}{45}$	$\frac{5}{45}=\frac{5÷5}{45÷5}=\frac{1}{9}$
$\frac{4}{36}$	$\frac{4}{36}=\frac{4÷4}{36÷4}=\frac{1}{9}$

The axis label order will be $\frac{1}{9},\frac{1}{6}$, and $\frac{1}{3},$
Number of kids who play for $\frac{1}{9}h=5$
Number of kids who play for $\frac{1}{6}h=3$
Number of kids who play for $\frac{1}{3}h=4$
Using one dot to represent one kid and marking the time taken in ascending order on the axis, the given line plot can be created.