use the corrected line plot to answer the question below. amount of syrup poured on pancakes what is the…

Explanation:

Step1: Count data - points and amounts

There are 2 data - points at 1 cup, 3 at $1\frac{1}{2}$ cups, 3 at $1\frac{2}{3}$ cups, and 1 at 2 cups.

Step2: Calculate the total amount of syrup

[ \begin{align*} \text{Total}&=(2\times1)+(3\times1\frac{1}{2})+(3\times1\frac{2}{3})+(1\times2)\ &=2+(3\times\frac{3}{2})+(3\times\frac{5}{3}) + 2\ &=2+\frac{9}{2}+5 + 2\ &=2+\frac{9}{2}+7\ &=9+\frac{9}{2}\ &=\frac{18 + 9}{2}\ &=\frac{27}{2} \end{align*} ]

Step3: Calculate the total number of data - points

The total number of data - points is $2 + 3+3 + 1=9$.

Step4: Calculate the average

The average is $\frac{\text{Total amount}}{\text{Total number of data - points}}=\frac{\frac{27}{2}}{9}=\frac{27}{2}\times\frac{1}{9}=\frac{3}{2}=1\frac{1}{2}$.

Answer:

$1\frac{1}{2}$