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

(a)See attached

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

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
  `(1)/(8)lb`
• 4 bags weigh
  `(1)/(4)lb`

• 4 bags weigh
  `(1)/(2)lb`

Part A

See attached for the Line plot

Part B

Average Weight of the bags

`=((8X(1)/(8))+ (4X(1)/(4))+(4X(1)/(2)))/(16) \\=(1+1+2)/(16)\\=(4)/(16)\\$Average Weight =(1)/(4)$ lb`