1. Nineteen immigrants to the U.S were asked how many years, to the nearest year, they have lived in the U.S. The data are as follows: 2; 5; 7; 2; 2; 10; 20; 15; 0; 7; 0; 20; 5; 12; 15; 12; 4; 5; 10. Calculate the Mean, Mode, Standard Deviation and complete the following chart. In addition, you must include 3 graphs for the data. Data Frequency Relative Frequency Cumulative Relative Frequency

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**Statistical Analysis of Residency Data**

**Problem Statement:**

Nineteen immigrants to the U.S were asked how many years, to the nearest year, they have lived in the U.S. The data are as follows: 2, 5, 7, 2, 2, 10, 20, 15, 0, 7, 0, 20, 5, 12, 15, 12, 4, 5, 10.

**Tasks:**

1. Calculate the Mean, Mode, and Standard Deviation.
2. Complete the following chart:

| Data | Frequency | Relative Frequency | Cumulative Relative Frequency |
|------|-----------|--------------------|-------------------------------|
|      |           |                    |                               |
|      |           |                    |                               |
|      |           |                    |                               |
|      |           |                    |                               |
|      |           |                    |                               |
|      |           |                    |                               |
|      |           |                    |                               |

3. Include 3 graphs for the data.

**Explanation:**

- **Data:** The individual years of residency recorded for each participant.
- **Frequency:** The number of times each year of residency appears in the data set.
- **Relative Frequency:** This is calculated by dividing the frequency of each data point by the total number of data points (19) to understand the proportion of each year's occurrence.
- **Cumulative Relative Frequency:** This involves adding each relative frequency successively to understand the accumulation of frequencies up to a point.

**Graphs to be Included:**

- **Histogram:** To visually represent the distribution of the years of residency.
- **Pie Chart:** To illustrate the relative frequency of each year of residency as a part of the total.
- **Line Graph (or Cumulative Frequency Graph):** To display how the cumulative frequency changes across different data points.
Transcribed Image Text:**Statistical Analysis of Residency Data** **Problem Statement:** Nineteen immigrants to the U.S were asked how many years, to the nearest year, they have lived in the U.S. The data are as follows: 2, 5, 7, 2, 2, 10, 20, 15, 0, 7, 0, 20, 5, 12, 15, 12, 4, 5, 10. **Tasks:** 1. Calculate the Mean, Mode, and Standard Deviation. 2. Complete the following chart: | Data | Frequency | Relative Frequency | Cumulative Relative Frequency | |------|-----------|--------------------|-------------------------------| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3. Include 3 graphs for the data. **Explanation:** - **Data:** The individual years of residency recorded for each participant. - **Frequency:** The number of times each year of residency appears in the data set. - **Relative Frequency:** This is calculated by dividing the frequency of each data point by the total number of data points (19) to understand the proportion of each year's occurrence. - **Cumulative Relative Frequency:** This involves adding each relative frequency successively to understand the accumulation of frequencies up to a point. **Graphs to be Included:** - **Histogram:** To visually represent the distribution of the years of residency. - **Pie Chart:** To illustrate the relative frequency of each year of residency as a part of the total. - **Line Graph (or Cumulative Frequency Graph):** To display how the cumulative frequency changes across different data points.
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