Let’s solve each question step by step using the histogram.
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1. How many students took the test?
We add up the frequencies (heights of the bars) for all grade ranges:
- 0–59 → frequency = 2
- 60–69 → frequency = 3
- 70–79 → frequency = 6
- 80–89 → frequency = 3
- 90–100 → frequency = 4
Total = 2 + 3 + 6 + 3 + 4 =
18 students
✔ Check: 2+3=5; 5+6=11; 11+3=14; 14+4=18 → Correct.
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2. How many students scored between 0 and 59?
Look at the bar labeled “0–59”. Its height is
2.
✔ So,
2 students scored in that range.
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3. How many students passed (70+)?
“Passed” means scores of 70 or higher. That includes:
- 70–79 → 6 students
- 80–89 → 3 students
- 90–100 → 4 students
Add them: 6 + 3 + 4 =
13 students
✔ Check: 6+3=9; 9+4=13 → Correct.
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4. What percentage of the students scored 80 or higher?
First, find how many scored 80 or higher:
- 80–89 → 3
- 90–100 → 4
→ Total = 3 + 4 =
7 students
Total students = 18 (from Q1)
Percentage = (7 ÷ 18) × 100
Let’s calculate:
7 ÷ 18 ≈ 0.3889
0.3889 × 100 ≈
38.89%
We can round to the nearest whole number if needed — but since it doesn’t specify, we’ll keep one decimal place:
38.9%
✔ Double-check: 7/18 = ? Let’s do exact fraction: 7÷18 = 0.388... → yes, ~38.9%
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Final Answer:
1. 18
2. 2
3. 13
4. 38.9%
Parent Tip: Review the logic above to help your child master the concept of histogram practice worksheet.