Let’s go step by step to answer each question using the bar graph.
First, look at the vertical axis (the side with numbers). It goes from 0 to 60, and each line represents an increase of 5. So the scale is “each unit = 5 students”.
Now let’s read the height of each bar:
- Social Studies: The bar reaches 30 → 30 students
- Math: The bar reaches 50 → 50 students
- Science: The bar reaches 30 → 30 students
- ELA: The bar reaches 35 → 35 students
- Others: The bar reaches 10 → 10 students
Total students = 30 + 50 + 30 + 35 + 10 = 155? Wait — that doesn’t match question #4 which says “favorite of 50 students”. Let me double-check.
Wait — maybe I misread. Let’s check again.
Actually, looking carefully:
The y-axis says “Number of Students” and each grid line is 5 units. But let’s count how many lines up each bar goes.
Social Studies: 6 lines up → 6 × 5 = 30
Math: 10 lines up → 10 × 5 = 50
Science: 6 lines up → 6 × 5 = 30
ELA: 7 lines up → 7 × 5 = 35
Others: 2 lines up → 2 × 5 = 10
Total = 30+50+30+35+10 = 155 — but question 4 says “Which subject is the favorite of 50 students?” That matches Math. So total isn’t 50 — it’s just asking which one has 50. Okay, so my reading is correct.
But wait — maybe the graph is scaled differently? No, the labels are clear: 0, 5, 10, 15... up to 60. Each tick is 5.
So now let’s answer each question:
1. What unit of scale is used?
→ Each line on the y-axis represents 5 students. So the scale is “5 students per unit”.
2. Which subject is the second most popular?
Most popular is Math (50). Next highest is ELA (35). Then Social Studies and Science tied at 30. So second most popular is ELA.
3. Which subject is less popular, science or ELA?
Science = 30, ELA = 35 → Science is less popular.
4. Which subject is the favorite of 50 students?
Math has 50 → Math.
5. Which subjects have the same number of votes?
Social Studies and Science both have 30 → they are equal.
Let me verify totals again to be sure:
Social Studies: 30
Math: 50
Science: 30
ELA: 35
Others: 10
Sum: 30+50=80; 80+30=110; 110+35=145; 145+10=155. That’s fine — the problem doesn’t say total is 50, only asks which subject has 50.
All answers seem consistent.
Final Answer:
1. 5 students
2. ELA
3. Science
4. Math
5. Social Studies and Science
Parent Tip: Review the logic above to help your child master the concept of bar graph worksheets.