https://file.aiquickdraw.com/mathbot/file/17267583086856un6wmjm.jpg

The image you uploaded contains data related to "Mean Activity" along with several statistical tasks. Here's a breakdown of what needs to be done:

### Data Provided
| Rental Rate (Class Intervals) | No. of Market Stalls (Frequency) |
|-------------------------------|-----------------------------------|
| 150 – 179                     | 3                                 |
| 180 – 209                     | 8                                 |
| 210 – 239                     | 10                                |
| 240 – 269                     | 13                                |
| 270 – 299                     | 33                                |
| 300 – 329                     | 40                                |
| 330 – 359                     | 35                                |
| 360 – 389                     | 30                                |
| 390 – 419                     | 16                                |
| 420 – 449                     | 12                                |

### Tasks to be Solved
1. **Mean** (2 methods)
2. **Median**
3. **Mode** (2 methods)
4. **Q₃** (Third quartile)
5. **D₇** (Seventh decile)
6. **P₄₅** (45th percentile)
7. Construct:
   - **FDT** (Frequency Distribution Table)
   - **Histogram**
   - **Bar Graph**

I will start by solving these tasks step by step. Let's begin with calculating the **mean** using both methods: 
1. **Direct Method**
2. **Step-Deviation Method**

I will compute this now.The **mean** of the given data, using both methods, is \( 322.75 \).

- **Direct Method**: 322.75
- **Step-Deviation Method**: 322.75

The results from both methods agree, indicating the mean rental rate is approximately 322.75.

Would you like to continue with the **median** calculation next, or have any questions about the mean?

Here are some related questions to consider:
1. How does the choice of assumed mean affect the step-deviation method?
2. What is the significance of using midpoints in grouped data for mean calculation?
3. How does the class width influence the result in the step-deviation method?
4. Why do both methods yield the same mean?
5. Can these methods be applied to ungrouped data?

**Tip**: The step-deviation method is especially useful when dealing with large data sets with wide class intervals.

Solve the following statistical tasks: calculate the mean (2 methods), median, mode (2 methods), Q₃, D₇, P₄₅, and construct FDT, Histogram, and Bar Graph based on the given data for rental rate and market stalls.

Solve a statistical problem involving rental rates and market stalls. Learn to calculate the mean, median, and mode using different methods, and construct FDT, histograms, and bar graphs. This problem applies key concepts from statistics and graphical data representation, suitable for Grades 10-12.

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