Question

The given table and line plot show the number of hours people spent playing games.

$\text{Number of hours people spent playing games}$
$\frac{1}{4}$	$\frac{2}{4}$	$\frac{5}{4}$	$\frac{1}{4}$
$\frac{1}{4}$	$\frac{5}{4}$	$\frac{2}{4}$	$\frac{2}{4}$

Number of hours people spent playing games

Select the quantity that is incorrectly represented on the line plot.

• A. $\frac{1}{4}$
• B. $\frac{2}{4}$
• C. $\frac{5}{4}$

Answer 1

The correct option is A $\frac{1}{4}$

$\text{Number of hours people spent playing games}$
$\frac{1}{4}$	$\frac{2}{4}$	$\frac{5}{4}$	$\frac{1}{4}$
$\frac{1}{4}$	$\frac{5}{4}$	$\frac{2}{4}$	$\frac{2}{4}$

Number of hours people spent playing games

The line plot shows the maximum number of times of each of the data points given in the table.

Number of times $\frac{1}{4}$ occurred in the table = $3$
Number of times $\frac{2}{4}$ occurred in the table = 3

Number of times $\frac{5}{4}$ occurred = $2$

If we check the given line plot, we see that $\frac{1}{4}$ has been plotted only $2$ times. Therefore, we can say that $\frac{1}{4}$ has been represented incorrectly on the line plot.