Worksheet for interpreting dot plots, featuring student marks and soccer game scores with analysis questions.

Let's solve the problem step by step based on the image you provided. The task is titled "INTERPRETING DOT PLOTS SHEET 1", and it involves analyzing two dot plots to answer questions about data.

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Part A: Dot Plot – Number of Siblings

Dot Plot Description:
- The horizontal axis represents the number of siblings (from 0 to 6).
- Each dot above a number represents one person with that many siblings.
- We count the dots for each value.

Let’s count the dots:

| Number of Siblings | Count |
|--------------------|-------|
| 0 | 2 |
| 1 | 4 |
| 2 | 5 |
| 3 | 7 |
| 4 | 4 |
| 5 | 2 |
| 6 | 1 |

Total people = 2 + 4 + 5 + 7 + 4 + 2 + 1 = 25

Now, let’s answer the questions:

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#### a) How many students have 2 siblings?

From the table: 5 students have 2 siblings.

✔ Answer: 5

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#### b) How many students have 3 or fewer siblings?

We sum the counts for 0, 1, 2, and 3 siblings:
- 0: 2
- 1: 4
- 2: 5
- 3: 7

Total = 2 + 4 + 5 + 7 = 18

✔ Answer: 18

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#### c) How many students have more than 3 siblings?

This includes 4, 5, and 6 siblings:
- 4: 4
- 5: 2
- 6: 1

Total = 4 + 2 + 1 = 7

✔ Answer: 7

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#### d) What is the most common number of siblings?

Look for the highest count: 3 siblings has 7 students — the most.

✔ Answer: 3

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#### e) Find all the numbers that appear more than 4 times.

Check counts:
- 0: 2 → no
- 1: 4 → equal to 4, not more
- 2: 5 → yes
- 3: 7 → yes
- 4: 4 → no
- 5: 2 → no
- 6: 1 → no

So only 2 and 3 appear more than 4 times.

✔ Answer: 2 and 3

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#### f) How many students have at least 1 sibling?

"at least 1" means 1 or more.

Total students = 25
Students with 0 siblings = 2

So: 25 - 2 = 23

✔ Answer: 23

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Part B: Dot Plot – Number of Goals Scored in a Football Match

Dot Plot Description:
- Horizontal axis: number of goals scored (from 0 to 6)
- Each dot represents one match.

Count the dots:

| Goals Scored | Count |
|--------------|-------|
| 0 | 1 |
| 1 | 3 |
| 2 | 5 |
| 3 | 4 |
| 4 | 3 |
| 5 | 2 |
| 6 | 1 |

Total matches = 1 + 3 + 5 + 4 + 3 + 2 + 1 = 19

Now answer the questions:

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#### a) How many matches had less than 3 goals?

Less than 3 → 0, 1, or 2 goals:
- 0: 1
- 1: 3
- 2: 5

Total = 1 + 3 + 5 = 9

✔ Answer: 9

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#### b) How many matches had exactly 4 goals?

From the table: 3 matches

✔ Answer: 3

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#### c) How many matches had more than 4 goals?

More than 4 → 5 or 6 goals:
- 5: 2
- 6: 1

Total = 2 + 1 = 3

✔ Answer: 3

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#### d) In how many matches were there no goals scored?

That’s 0 goals: 1 match

✔ Answer: 1

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#### e) How many matches had an even number of goals?

Even numbers: 0, 2, 4, 6

- 0: 1
- 2: 5
- 4: 3
- 6: 1

Total = 1 + 5 + 3 + 1 = 10

✔ Answer: 10

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#### f) How many matches had 3 goals or more?

3 or more → 3, 4, 5, 6:
- 3: 4
- 4: 3
- 5: 2
- 6: 1

Total = 4 + 3 + 2 + 1 = 10

✔ Answer: 10

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✔ Final Answers Summary:

#### Part A: Number of Siblings
a) 5
b) 18
c) 7
d) 3
e) 2 and 3
f) 23

#### Part B: Goals Scored
a) 9
b) 3
c) 3
d) 1
e) 10
f) 10

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