I'll solve this step by step by analyzing the bar graph and the data table provided in the image.
Step 1: Look at the data table
The table shows the points for four friends:
- Olivia: 10 points
- James: 8 points
- Liam: 12 points
- Nora: 6 points
Step 2: Understand what needs to be done
I need to create a bar graph based on this data and then answer the 6 questions listed below the graph.
Step 3: Create the bar graph (conceptually)
Based on the data, I would draw bars with these heights:
- Olivia: bar reaching to 10 on the y-axis
- James: bar reaching to 8 on the y-axis
- Liam: bar reaching to 12 on the y-axis
- Nora: bar reaching to 6 on the y-axis
Step 4: Answer each question
1. Who got the highest points?
- Liam has 12 points, which is the highest among all four friends.
2. How many points did James and Nora get?
- James got 8 points and Nora got 6 points.
- Together they got 8 + 6 = 14 points.
3. How many fewer points did Olivia get than Liam?
- Olivia got 10 points, Liam got 12 points.
- The difference is 12 - 10 = 2 points fewer.
4. How many more points did James get than Nora?
- James got 8 points, Nora got 6 points.
- The difference is 8 - 6 = 2 points more.
5. Two kids got a total of 16 points. Who were they?
- Let's check combinations:
- Olivia (10) + James (8) = 18 (too high)
- Olivia (10) + Liam (12) = 22 (too high)
- Olivia (10) + Nora (6) = 16 ✓
- James (8) + Liam (12) = 20 (too high)
- James (8) + Nora (6) = 14 (too low)
- Liam (12) + Nora (6) = 18 (too high)
- So Olivia and Nora got a total of 16 points.
6. Who got a score higher than Nora but less than Olivia?
- Nora has 6 points, Olivia has 10 points.
- We need someone with a score between 6 and 10.
- James has 8 points, which is between 6 and 10.
- Liam has 12 points, which is higher than Olivia.
Final Answers:
1. Liam
2. 14 points (James: 8, Nora: 6)
3. 2 fewer points
4. 2 more points
5. Olivia and Nora
6. James
Parent Tip: Review the logic above to help your child master the concept of bar graph worksheet for 3rd.