Question

The correct line plot and range for the given data is

• A. B; Range = 0.2 lb
• B. A; Range = 1 lb
• C. B; Range = 1 lb
• D. A; Range = 0.6 lb

Answer 1

The correct option is D A; Range = 0.6 lb

$\text{Converting the fraction}\frac{4}{5}\text{to decimal,}\text{we get:}$

$\frac{4}{5}=\frac{4\times 2}{5\times 2}=\frac{8}{10}=0.8$

$\text{Now, the values in the table will be:}$

$\text{Number of cakes}$	$2$	$3$	$1$
$\text{Weight (in lb)}$	$0.5$	$0.8$	$1.1$

$\text{Plotting this data on a line plot, we get:}$


$\text{Hence, the correct line plot is A.}$

$\text{Range is the difference between the}\text{observation of the highest value and the}\text{observation of the lowest value.}$

$\therefore \text{The range for the line plot is:}$

$Range\left(spread\right)=1.1-0.5=0.6lb$