Math worksheet titled "Finding Statistical Questions" that asks students to determine whether 20 given questions are statistical by marking yes or no. The questions cover various topics such as sports, daily life, and measurements, with space provided for answers.

Let's solve this step by step.

We are asked to determine whether each question is a statistical question (yes) or not (no).

🔍 What is a Statistical Question?

A statistical question is one that anticipates variability in the data and can be answered by collecting data from multiple sources. It usually involves a population or group, and the answer isn't just a single value but a range or distribution of values.

For example:
- ✔ "How many siblings do students in your class have?" → This varies from student to student → Statistical
- ✘ "How old is the Mona Lisa?" → One fixed answer → Not statistical

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Now let’s go through each question:

1. Which football game had the most touchdowns this season?
→ This asks for a specific game with the highest number — it assumes you already know all games' scores. But if we're collecting data on touchdowns across games, it could involve variability. However, the question is asking for a comparison among games, not about variability in a population.
→ No (It's asking for a single event, not gathering varied responses)

2. How many bread rolls did each person at the table eat?
→ Asks about each person, so it implies collecting data from multiple individuals → Yes (variability expected)

3. How tall are the trees in the park?
→ Trees likely vary in height → needs data collection → Yes

4. Which student sold the most boxes of candy?
→ This asks for a single individual — not about variability in sales across students, but rather a comparison → No

5. How many students passed the math test?
→ This is a count of how many passed — only one number → No (unless asking about passing rates across classes, but here it's singular)

6. Which tree is the tallest in the park?
→ Asks for one tree — not about variation → No

7. How many presidents were under 50 when inaugurated?
→ This is a historical fact — one number → No

8. How many leaves did each branch have on it?
→ "Each branch" suggests collecting data from multiple branches → variability → Yes

9. How long is each girl's hair in your class?
→ Asks about multiple girls → different lengths → Yes

10. What age were the presidents inaugurated at?
→ This would require collecting ages of multiple presidents → variability → Yes

11. What were the scores for the basketball team this season?
→ Scores vary per game → need data from multiple games → Yes

12. How many goals did the homeruns did the home team score?
→ Typo: "homeruns" should be "home runs"? But even so, it says "the home team", implying one team, one total. But if it's asking about goals scored in games, then it may involve multiple games.
→ Wait: “How many goals did the homeruns…” seems like a typo. Likely meant: “How many goals did the home team score?”
→ If it's asking about total goals in a single game or season, and not across games, it might be a single number. But since it's phrased as “did the home team score” without specifying a game, it might imply over time. Still, unless it's asking for scores per game, it's ambiguous.
→ But given context, likely refers to a single match. So probably No
→ Actually, better interpretation: if it's asking about how many goals they scored (e.g., total), then it's a single number → No

13. How many apps do my classmates have on their phones?
→ Different classmates → different numbers → Yes

14. How many inches of snow did each city get?
→ "Each city" → multiple cities → variability → Yes

15. How many goals did the basketball teams score?
→ "Teams" plural → possibly multiple teams, but still asking for totals. But if it's asking for scores across games or teams, could be variable.
→ But again, if it's asking for total goals by all teams, it's one number. But the wording “teams” plural suggests multiple, but still might be asking for a summary.
→ More likely, it's asking for data from multiple games/teams → Yes

16. How many cars were sold this month?
→ A single total → No

17. How many siblings do you have?
→ Asking about one person → No (unless asking about a group)

18. How many times did you eat lunch this month?
→ About one person → No

19. How many hours did you sleep last night?
→ One person, one night → No

20. How old is the painting, "The Mona Lisa"?
→ Fixed historical fact → No

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✔ Final Answers:

| # | Question | Answer |
|---|--------|--------|
| 1 | Which football game had the most touchdowns this season? | No |
| 2 | How many bread rolls did each person at the table eat? | Yes |
| 3 | How tall are the trees in the park? | Yes |
| 4 | Which student sold the most boxes of candy? | No |
| 5 | How many students passed the math test? | No |
| 6 | Which tree is the tallest in the park? | No |
| 7 | How many presidents were under 50 when inaugurated? | No |
| 8 | How many leaves did each branch have on it? | Yes |
| 9 | How long is each girl's hair in your class? | Yes |
|10 | What age were the presidents inaugurated at? | Yes |
|11 | What were the scores for the basketball team this season? | Yes |
|12 | How many goals did the home team score? | No *(assuming total)* |
|13 | How many apps do my classmates have on their phones? | Yes |
|14 | How many inches of snow did each city get? | Yes |
|15 | How many goals did the basketball teams score? | Yes |
|16 | How many cars were sold this month? | No |
|17 | How many siblings do you have? | No |
|18 | How many times did you eat lunch this month? | No |
|19 | How many hours did you sleep last night? | No |
|20 | How old is the painting, "The Mona Lisa"? | No |

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✔ Final Answer Key:

```
1. No
2. Yes
3. Yes
4. No
5. No
6. No
7. No
8. Yes
9. Yes
10. Yes
11. Yes
12. No
13. Yes
14. Yes
15. Yes
16. No
17. No
18. No
19. No
20. No
```

> ✔ Explanation Summary:
> A statistical question expects variability and requires collecting data from multiple subjects. Questions about individuals or single facts are not statistical. Questions about groups, distributions, or comparisons across multiple instances are statistical.

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