Question

Amy filled bags with mixed nuts. The weights of the bags are 1/8 lb, 1/4 lb, 1/8 lb, 1/2 lb, 1/8 lb, 1/4 lb, 1/8lb, 1/2 lb, 1/8 lb, 1/4 lb, 1/8 lb, 1/2 lb, 1/8 lb, 1/8 lb, 1/4 lb, and 1/2 lb.
Part A: Organize the information in a line plot. (on your own paper)




Part B: What is the average weight of the bags? ________ lb

Answer 1

Answer:

(a)See attached

(b)$\text{Average Weight =}\dfrac{1}{4} lb$

Step-by-step explanation:

The weights of the bag are given below:

$1/8 lb, 1/4 lb, 1/8 lb, 1/2 lb, 1/8 lb, 1/4 lb, 1/8lb, 1/2 lb \\1/8 lb, 1/4 lb, 1/8 lb, 1/2 lb, 1/8 lb, 1/8 lb, 1/4 lb, 1/2 lb.$

When sorted, we have:

$1/8 lb, 1/8 lb, 1/8lb, 1/8 lb, 1/8 lb, 1/8 lb, 1/8 lb, 1/8 lb\\ 1/4 lb,1/4 lb, 1/4 lb, 1/4 lb\\ 1/2 lb, 1/2 lb, 1/2 lb,1/2 lb,$

• 8 bags weigh $\frac{1}{8}lb$
• 4 bags weigh $\frac{1}{4}lb$

• 4 bags weigh $\frac{1}{2}lb$

Part A

See attached for the Line plot

Part B

Average Weight of the bags

$=\dfrac{(8X\dfrac{1}{8})+ (4X\dfrac{1}{4})+(4X\dfrac{1}{2})}{16} \\=\dfrac{1+1+2}{16}\\=\dfrac{4}{16}\\ Average Weight =\dfrac{1}{4} lb$