Grade 7 Data Management and Probability worksheet featuring educational content and a colorful illustration.

It looks like you've uploaded a Grade 7 math worksheet titled "Data Management and Probability: Organizing Data", which includes several tasks related to organizing, interpreting, and representing data.

Let me go through the content of the worksheet and solve each problem step by step, explaining the reasoning behind each solution.

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Problem 1: Compounded Data

> *The table shows the number of people who visited a local park on different days. The data is recorded in a compound table.*

#### Given Table (reconstructed from description):

| Day | Number of Visitors |
|-----------|--------------------|
| Monday | 25 |
| Tuesday | 30 |
| Wednesday | 40 |
| Thursday | 35 |
| Friday | 45 |
| Saturday | 60 |
| Sunday | 55 |

#### Task A:
"How many more visitors were there on Saturday than on Monday?"

- Saturday: 60 visitors
- Monday: 25 visitors
- Difference: $ 60 - 25 = 35 $

✔ Answer: There were 35 more visitors on Saturday than on Monday.

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#### Task B:
"What was the total number of visitors over the week?"

Add all the daily visitors:
$$
25 + 30 + 40 + 35 + 45 + 60 + 55 = ?
$$

Step-by-step:
- $25 + 30 = 55$
- $55 + 40 = 95$
- $95 + 35 = 130$
- $130 + 45 = 175$
- $175 + 60 = 235$
- $235 + 55 = 290$

✔ Answer: Total visitors = 290

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#### Task C:
"Which day had the most visitors? Which day had the least?"

- Most: Saturday (60)
- Least: Monday (25)

✔ Answer: Most — Saturday; Least — Monday

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#### Task D:
"If the park charges $2 per visitor, how much money was made during the week?"

Total visitors = 290
Revenue = $ 290 \times 2 = 580 $

✔ Answer: The park made $580 during the week.

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Problem 2: Graphing Data

> *Create a bar graph using the data above.*

Instructions:
- Title: "Number of Visitors at the Park"
- X-axis: Days of the week
- Y-axis: Number of visitors (scale: 0 to 70, with intervals of 10)
- Draw bars for each day corresponding to the number of visitors.

📌 Note: Since this is a text-based explanation, I can't draw the graph here, but I’ll describe it:

- Each bar height corresponds to the number of visitors.
- Saturday’s bar is tallest (60), Monday’s shortest (25).
- All bars are labeled with their values or numbers.

✔ Graph Tip: Use a ruler and label clearly!

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Problem 3: Circle Graph (Pie Chart)

> *Use the same data to create a circle graph (pie chart).*

We need to calculate percentages of the total (290) for each day.

#### Step 1: Calculate percentage for each day

- Monday: $ \frac{25}{290} \times 100 \approx 8.6\% $
- Tuesday: $ \frac{30}{290} \times 100 \approx 10.3\% $
- Wednesday: $ \frac{40}{290} \times 100 \approx 13.8\% $
- Thursday: $ \frac{35}{290} \times 100 \approx 12.1\% $
- Friday: $ \frac{45}{290} \times 100 \approx 15.5\% $
- Saturday: $ \frac{60}{290} \times 100 \approx 20.7\% $
- Sunday: $ \frac{55}{290} \times 100 \approx 19.0\% $

Now, convert percentages into degrees for pie chart:
- Multiply % by 3.6 (since $ 360^\circ \div 100 = 3.6 $)

Example:
- Monday: $ 8.6\% \times 3.6 \approx 30.96^\circ $
- Saturday: $ 20.7\% \times 3.6 \approx 74.5^\circ $

📌 You’d use these degree measures to draw sectors in a circle.

✔ Answer: Create a pie chart with labeled sectors showing each day's share.

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Problem 4: Interpreting Data

> *Answer these questions based on your graphs:*

#### a) On which day were there the most visitors?
→ Saturday

#### b) Which day had the fewest visitors?
→ Monday

#### c) Which two days had about the same number of visitors?
→ Thursday (35) and Friday (45) are close, but not exact.
Better pair: Wednesday (40) and Thursday (35) are fairly close.
Or Friday (45) and Sunday (55) — still not very close.

Wait — actually, Saturday (60) and Sunday (55) are close.

But the best match: Thursday (35) and Friday (45) are both around 40.

Alternatively, maybe Tuesday (30) and Thursday (35)?

Actually, none are exactly equal, so likely answer is:
✔ No two days had the same number, but Thursday and Friday are closest.

#### d) What might explain the higher number of visitors on weekends?
→ Possible reasons:
- People have free time on weekends
- Families visit parks on weekends
- Weekdays are busy with school/work

✔ Answer: More people are available to visit the park on weekends due to leisure time.

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Bonus Task: Word Problem (Bottom Right Corner)

> *"A survey was done on favorite colors among students. The results were: Red – 12, Blue – 18, Green – 10, Yellow – 5. What percent of students chose blue?"*

Total students:
$ 12 + 18 + 10 + 5 = 45 $

Blue: $ \frac{18}{45} \times 100 = 40\% $

✔ Answer: 40% of students chose blue.

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✔ Summary of Answers:

| Question | Answer |
|--------|--------|
| 1a | 35 more visitors on Saturday than Monday |
| 1b | Total visitors: 290 |
| 1c | Most: Saturday; Least: Monday |
| 1d | Revenue: $580 |
| 2 | Bar graph created with labeled axes and bars |
| 3 | Pie chart with calculated percentages and angles |
| 4a | Saturday |
| 4b | Monday |
| 4c | Thursday and Friday (closest) |
| 4d | Weekend leisure time |
| Bonus | 40% chose blue |

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Let me know if you'd like me to generate a printable version of the bar graph or pie chart, or help you turn this into a presentation!