a) P(male) b) P(male U Rural) c) P(female N Urban) d) P(female I Rural) e) Are the events Male and Urban independent? Create 2 box and whiskers for the ages of males and the ages of females. a. Compare. (SOCS)

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Author:Amos Gilat
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Certainly! Here's a transcription of the content from the image, formatted for an educational website:

---

### Activity: Analyzing Gender and Environment Data

**Task 3: Construct a 2-Way Table**

Create a 2-way table to compare gender with environment (urban or rural).

|          | Urban | Rural |
|----------|-------|-------|
| Male     |       |       |
| Female   |       |       |

**Questions:**

a) What is the probability of selecting a male? \( P(\text{male}) \)

b) What is the probability of selecting a male and the environment being rural? \( P(\text{male} \cap \text{rural}) \)

c) What is the probability of selecting a female and the environment being urban? \( P(\text{female} \cap \text{urban}) \)

d) What is the probability of selecting a female and the environment being rural? \( P(\text{female} \cap \text{rural}) \)

e) Are the events "Male" and "Urban" independent?

**Task 4: Create Box and Whisker Plots**

Draw two box-and-whisker plots: one for the ages of males and one for the ages of females.

a) Compare the box plots using SOCS (Shape, Outliers, Center, Spread).

b) Discuss what would be the best measure of center.

---

This exercise encourages students to analyze data using probability and statistical tools, such as 2-way tables and box-and-whisker plots, and compare distributions effectively.
Transcribed Image Text:Certainly! Here's a transcription of the content from the image, formatted for an educational website: --- ### Activity: Analyzing Gender and Environment Data **Task 3: Construct a 2-Way Table** Create a 2-way table to compare gender with environment (urban or rural). | | Urban | Rural | |----------|-------|-------| | Male | | | | Female | | | **Questions:** a) What is the probability of selecting a male? \( P(\text{male}) \) b) What is the probability of selecting a male and the environment being rural? \( P(\text{male} \cap \text{rural}) \) c) What is the probability of selecting a female and the environment being urban? \( P(\text{female} \cap \text{urban}) \) d) What is the probability of selecting a female and the environment being rural? \( P(\text{female} \cap \text{rural}) \) e) Are the events "Male" and "Urban" independent? **Task 4: Create Box and Whisker Plots** Draw two box-and-whisker plots: one for the ages of males and one for the ages of females. a) Compare the box plots using SOCS (Shape, Outliers, Center, Spread). b) Discuss what would be the best measure of center. --- This exercise encourages students to analyze data using probability and statistical tools, such as 2-way tables and box-and-whisker plots, and compare distributions effectively.
### Table: Survey Data on Pets, Siblings, and Living Areas

This table presents data collected from a survey examining the number of pets owned over a person's lifespan, their number of siblings, and whether they reside in an urban or rural area. The data is further categorized by age and gender.

| Age | Gender | Number of Pets over Lifespan | Siblings | Urban or Rural |
|-----|--------|------------------------------|----------|----------------|
| 15  | M      | 3                            | 0        | U              |
| 30  | M      | 3                            | 1        | U              |
| 26  | F      | 5                            | 1        | U              |
| 41  | M      | 4                            | 2        | U              |
| 82  | F      | 12                           | 1        | U              |
| 53  | F      | 8                            | 3        | R              |
| 41  | F      | 4                            | 2        | R              |
| 32  | F      | 5                            | 0        | R              |
| 36  | F      | 2                            | 0        | R              |
| 45  | F      | 1                            | 1        | U              |
| 27  | M      | 3                            | 0        | R              |
| 12  | M      | 0                            | 4        | U              |
| 70  | F      | 1                            | 0        | R              |
| 54  | M      | 6                            | 2        | U              |
| 37  | M      | 3                            | 1        | R              |
| 34  | F      | 4                            | 2        | R              |
| 49  | M      | 2                            | 2        | R              |
| 57  | M      | 82                           | 1        | U              |
| 66  | F      | 9                            | 0        | R              |
| 14  | F      | 3                            | 0        | R              |

**Key:**
- **Age:** Age of the survey participant.
- **Gender:** Gender of the participant (M = Male, F
Transcribed Image Text:### Table: Survey Data on Pets, Siblings, and Living Areas This table presents data collected from a survey examining the number of pets owned over a person's lifespan, their number of siblings, and whether they reside in an urban or rural area. The data is further categorized by age and gender. | Age | Gender | Number of Pets over Lifespan | Siblings | Urban or Rural | |-----|--------|------------------------------|----------|----------------| | 15 | M | 3 | 0 | U | | 30 | M | 3 | 1 | U | | 26 | F | 5 | 1 | U | | 41 | M | 4 | 2 | U | | 82 | F | 12 | 1 | U | | 53 | F | 8 | 3 | R | | 41 | F | 4 | 2 | R | | 32 | F | 5 | 0 | R | | 36 | F | 2 | 0 | R | | 45 | F | 1 | 1 | U | | 27 | M | 3 | 0 | R | | 12 | M | 0 | 4 | U | | 70 | F | 1 | 0 | R | | 54 | M | 6 | 2 | U | | 37 | M | 3 | 1 | R | | 34 | F | 4 | 2 | R | | 49 | M | 2 | 2 | R | | 57 | M | 82 | 1 | U | | 66 | F | 9 | 0 | R | | 14 | F | 3 | 0 | R | **Key:** - **Age:** Age of the survey participant. - **Gender:** Gender of the participant (M = Male, F
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