Let’s solve each question step by step.
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First, let’s understand the dot plot.
The dot plot shows how many minutes it took students to eat lunch. Each dot = 1 student.
Here’s what we see:
- 1 minute → 1 dot → 1 student
- 2 minutes → 2 dots → 2 students
- 3 minutes → 1 dot → 1 student
- 4 minutes → 3 dots → 3 students
- 5 minutes → 1 dot → 1 student
- 6 minutes → 4 dots → 4 students
- 7 minutes → 0 dots → 0 students
- 8 minutes → 2 dots → 2 students
- 9 minutes → 3 dots → 3 students
- 10 minutes → 2 dots → 2 students
Total students = add all dots:
1 + 2 + 1 + 3 + 1 + 4 + 0 + 2 + 3 + 2 =
19 students
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Question 1: How many students took 8 or more minutes?
“8 or more” means 8, 9, and 10 minutes.
- 8 min → 2 students
- 9 min → 3 students
- 10 min → 2 students
Add them: 2 + 3 + 2 =
7 students
✔ Answer for Q1: 7
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Question 2: What percentage of students ate their lunch in 5 minutes or less?
“5 minutes or less” = 1, 2, 3, 4, 5 minutes.
Count those dots:
- 1 min → 1
- 2 min → 2
- 3 min → 1
- 4 min → 3
- 5 min → 1
Total = 1 + 2 + 1 + 3 + 1 =
8 students
Total students overall = 19 (from earlier)
Percentage = (part / whole) × 100
= (8 / 19) × 100
Let’s calculate that:
8 ÷ 19 ≈ 0.42105
× 100 ≈
42.1%
We can round to one decimal place →
42.1%
✔ Answer for Q2: 42.1%
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Question 3: What is the average time it takes this group of students to eat their lunch?
Average = total time for all students ÷ number of students
We need to find the sum of all times.
Multiply each time by how many students took that long:
- 1 min × 1 student = 1
- 2 min × 2 students = 4
- 3 min × 1 student = 3
- 4 min × 3 students = 12
- 5 min × 1 student = 5
- 6 min × 4 students = 24
- 7 min × 0 students = 0
- 8 min × 2 students = 16
- 9 min × 3 students = 27
- 10 min × 2 students = 20
Now add them up:
1 + 4 = 5
5 + 3 = 8
8 + 12 = 20
20 + 5 = 25
25 + 24 = 49
49 + 0 = 49
49 + 16 = 65
65 + 27 = 92
92 + 20 =
112
Total time = 112 minutes
Total students = 19
Average = 112 ÷ 19
Let’s divide:
19 × 5 = 95
112 - 95 = 17 → so 5 and 17/19
As a decimal: 112 ÷ 19 ≈ 5.8947...
Round to two decimal places →
5.89 minutes
✔ Answer for Q3: 5.89 minutes
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Final Answer:
1. 7
2. 42.1%
3. 5.89 minutes
Parent Tip: Review the logic above to help your child master the concept of dot plot worksheet 7th grade.