2. A group of adults where asked how many cars they had in their household a. Complete the frequency table for the car number data
2. A group of adults where asked how many cars they had in their household a. Complete the frequency table for the car number data
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:### Data Analysis Activity
In this exercise, a group of adults were asked how many cars they had in their household. The tasks are as follows:
1. **Complete the frequency table for the car number data.**
2. **Construct a histogram of the data.**
3. **Construct a pie chart of the data.**
The data collected is arranged in a two-row table:
```
Row 1: 4, 2, 2, 1, 2, 3, 3, 1, 4, 2, 2
Row 2: 1, 2, 1, 3, 2, 2, 1, 1, 1, 1, 2
```
### Instructions
**Frequency Table:**
- Count how many times each number of cars (from 1 to 4) appears in the dataset.
- Organize this data into a table format showing the frequency of each car number.
**Histogram:**
- Create a histogram to visually represent the frequency of the number of cars.
- The x-axis should display the number of cars (1, 2, 3, 4), and the y-axis should display the frequency.
**Pie Chart:**
- Draw a pie chart to represent the proportion of each number of cars with respect to the whole dataset.
- Each segment of the pie should correspond to the frequency of each car number.
### Note
Ensure that the visual representations (histogram and pie chart) accurately reflect the calculated frequencies from the table. This provides a clear, graphical insight into the car ownership distribution among the sampled group.

Transcribed Image Text:### Data Analysis Task
2. A group of adults were asked how many cars they had in their household.
#### Tasks:
a. **Complete the frequency table for the car number data**
The data collected is as follows:
```
1, 4, 2, 2, 1, 2, 3, 3, 1, 4, 2, 2
1, 2, 1, 3, 2, 2, 1, 2, 1, 1, 1, 2
```
To complete the frequency table, count the occurrence of each number of cars:
| Number of Cars | Frequency |
|----------------|-----------|
| 1 | 8 |
| 2 | 9 |
| 3 | 3 |
| 4 | 2 |
b. **Construct a histogram of the data**
The histogram should have the number of cars on the x-axis and the frequency on the y-axis. Bars should be drawn to represent the frequency of each number of cars:
- Number of Cars: 1, Frequency: 8
- Number of Cars: 2, Frequency: 9
- Number of Cars: 3, Frequency: 3
- Number of Cars: 4, Frequency: 2
Ensure each bar's height corresponds to the frequency of each car number.
c. **Construct a pie chart of the data**
The pie chart should represent the proportion of each number of cars in the dataset:
- Cars: 1, Slice: \( \frac{8}{22} \approx 36.36\% \)
- Cars: 2, Slice: \( \frac{9}{22} \approx 40.91\% \)
- Cars: 3, Slice: \( \frac{3}{22} \approx 13.64\% \)
- Cars: 4, Slice: \( \frac{2}{22} \approx 9.09\% \)
The pie chart visually illustrates the distribution of the number of cars across the responses.
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