Interpreting Line Plot Worksheet #4: Pumpkins at the Farmers Market

Let me work through this line plot problem step by step.

First, I need to understand the data from the line plot:
- The X's represent pumpkins at different weights
- Each X represents 1 pumpkin
- The weights shown are: 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, and 7/8 pounds

Let me count the X's at each weight:
- At 1/8 lb: 1 X (1 pumpkin)
- At 1/4 lb: 0 X's (0 pumpkins)
- At 3/8 lb: 2 X's (2 pumpkins)
- At 1/2 lb: 3 X's (3 pumpkins)
- At 5/8 lb: 2 X's (2 pumpkins)
- At 3/4 lb: 3 X's (3 pumpkins)
- At 7/8 lb: 1 X (1 pumpkin)

Total pumpkins = 1 + 0 + 2 + 3 + 2 + 3 + 1 = 12 pumpkins

Now let me answer each question:

Question 1: How many people bought a pumpkin?
This is asking for the total number of pumpkins sold, which equals the total number of X's.
Answer: 12 people

Question 2: What was the heaviest pumpkin?
Looking at the rightmost point on the number line with an X, that's 7/8 pound.
Answer: 7/8 pound

Question 3: What was the lightest pumpkin?
Looking at the leftmost point on the number line with an X, that's 1/8 pound.
Answer: 1/8 pound

Question 4: How many people bought a pumpkin that weighed 1/8 of a pound?
Counting X's at 1/8: There is 1 X.
Answer: 1 person

Question 5: How many people bought a pumpkin that weighed 3/8 of a pound?
Counting X's at 3/8: There are 2 X's.
Answer: 2 people

Question 6: How many people bought a pumpkin that weighed 1/2 of a pound?
Counting X's at 1/2: There are 3 X's.
Answer: 3 people

Question 7: How many people bought a pumpkin that weighed 5/8 of a pound?
Counting X's at 5/8: There are 2 X's.
Answer: 2 people

Question 8: How many people bought a pumpkin that weighed 3/4 of a pound?
Counting X's at 3/4: There are 3 X's.
Answer: 3 people

Question 9: How many people bought a pumpkin that weighed 7/8 of a pound?
Counting X's at 7/8: There is 1 X.
Answer: 1 person

Question 10: What is the total weight of all the pumpkins sold?
I need to multiply each weight by the number of pumpkins at that weight, then add them up:
- 1/8 × 1 = 1/8
- 1/4 × 0 = 0
- 3/8 × 2 = 6/8
- 1/2 × 3 = 3/2 = 12/8
- 5/8 × 2 = 10/8
- 3/4 × 3 = 9/4 = 18/8
- 7/8 × 1 = 7/8

Total = 1/8 + 0 + 6/8 + 12/8 + 10/8 + 18/8 + 7/8
Total = (1 + 0 + 6 + 12 + 10 + 18 + 7)/8
Total = 54/8 = 27/4 = 6¾ pounds

Question 11: What is the difference in weight between the heaviest pumpkin and the lightest pumpkin sold?
Heaviest: 7/8 pound
Lightest: 1/8 pound
Difference: 7/8 - 1/8 = 6/8 = 3/4 pound

Final Answer:
1. 12 people
2. 7/8 pound
3. 1/8 pound
4. 1 person
5. 2 people
6. 3 people
7. 2 people
8. 3 people
9. 1 person
10. 6¾ pounds (or 54/8 pounds or 27/4 pounds)
11. 3/4 pound