Given below is the number of vehicles possessed by 100 household in a locality.
`{:("Number of vehicles",1,2,3,4,5,6),("Number of households",17,21,13,34,10,5):}`
What is the modal number of vehicles possessed?

Answer

To find the modal number of vehicles possessed by the households, we will follow these steps:

### Step-by-Step Solution:

1. **List the Data**:
We have the following data:
- Number of vehicles: 1, 2, 3, 4, 5, 6
- Number of households: 17, 21, 13, 34, 10, 5

2. **Create a Frequency Table**:
We can represent the data in a frequency table:
```
| Number of Vehicles (x) | Number of Households (f) |
|-------------------------|--------------------------|
| 1 | 17 |
| 2 | 21 |
| 3 | 13 |
| 4 | 34 |
| 5 | 10 |
| 6 | 5 |
```

3. **Identify the Highest Frequency**:
From the frequency table, we look for the highest value in the "Number of Households" column:
- 17 (for 1 vehicle)
- 21 (for 2 vehicles)
- 13 (for 3 vehicles)
- 34 (for 4 vehicles)
- 10 (for 5 vehicles)
- 5 (for 6 vehicles)

The highest frequency is **34**, which corresponds to **4 vehicles**.

4. **Conclusion**:
Therefore, the modal number of vehicles possessed by the households is **4 vehicles**.