If you assume the normal model for these data, in about what percent of countries would the percentage of people 65 and older be more than 0.22? In about what percentage of countries would the percentage of people 65 and older be less than 0.14?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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If you assume the normal model for these data, in about what percent of countries would the percentage of people 65 and older be more than 0.22? In about what percentage of countries would the percentage of people 65 and older be less than 0.14?
### Item 1: Percentage of Population Aged 65 and Older

#### Graph Description
The graph shown is a histogram representing the distribution of the percentage of the population aged 65 and older across various counties. The x-axis denotes the "Percentage of seniors (aged 65 years and over) in each county," with values ranging from 1% to 55%. The y-axis represents the "Number of counties."

#### Analysis
1. **Central Tendency:**
   - The peak of the histogram is observed between 15% and 19%, indicating that the most common percentage of seniors in many counties falls in this range.
   
2. **Dispersion:**
   - The distribution shows a bell-shaped curve, suggesting a normal distribution of the percentage of elderly population across counties.
   - There are relatively fewer counties where the senior population is either below 5% or above 30%, indicating that extreme values are less common.

3. **Data Points:**
   - The highest number of counties, approximately 300, have around 18% of their population aged 65 and older. 
   - As the percentage of elderly population increases beyond 20%, the number of counties decreases steadily.

4. **Skewness:**
   - The graph is slightly right-skewed as there are a few counties with higher percentages (above 20%) of elderly population.

#### Educational Insights
Understanding the distribution of the elderly population can aid in:

- Resource allocation: Planning for healthcare, senior housing, and social services.
- Policy making: Creating targeted policies for aging populations.
- Demographic studies: Examining aging trends and preparing for future demographic shifts.

This histogram effectively highlights the need for a balanced approach in elderly care and services across various counties, reflecting the demographic realities of aging populations.
Transcribed Image Text:### Item 1: Percentage of Population Aged 65 and Older #### Graph Description The graph shown is a histogram representing the distribution of the percentage of the population aged 65 and older across various counties. The x-axis denotes the "Percentage of seniors (aged 65 years and over) in each county," with values ranging from 1% to 55%. The y-axis represents the "Number of counties." #### Analysis 1. **Central Tendency:** - The peak of the histogram is observed between 15% and 19%, indicating that the most common percentage of seniors in many counties falls in this range. 2. **Dispersion:** - The distribution shows a bell-shaped curve, suggesting a normal distribution of the percentage of elderly population across counties. - There are relatively fewer counties where the senior population is either below 5% or above 30%, indicating that extreme values are less common. 3. **Data Points:** - The highest number of counties, approximately 300, have around 18% of their population aged 65 and older. - As the percentage of elderly population increases beyond 20%, the number of counties decreases steadily. 4. **Skewness:** - The graph is slightly right-skewed as there are a few counties with higher percentages (above 20%) of elderly population. #### Educational Insights Understanding the distribution of the elderly population can aid in: - Resource allocation: Planning for healthcare, senior housing, and social services. - Policy making: Creating targeted policies for aging populations. - Demographic studies: Examining aging trends and preparing for future demographic shifts. This histogram effectively highlights the need for a balanced approach in elderly care and services across various counties, reflecting the demographic realities of aging populations.
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