Answer :
To solve this question and understand the relationship between the columns titled "Number" and "% of Total Population" with the "Total" column in the context of the Hispanic (Latino) population data from the 2010 US Census:
1. Number (Hispanic Population): This column represents the absolute count of Hispanic (Latino) individuals within each specific geographic region or state.
2. % of Total Population: This column indicates the percentage that the Hispanic (Latino) population constitutes of the total population in each specific geographic area or state.
3. Total (Total Population): This column represents the total population of the given geographic region or state.
We can derive the relationship between these columns using basic mathematical reasoning:
### Step-by-Step Analysis:
- Step 1: Understanding the "Number" Column:
- This column gives the actual number of Hispanic (Latino) people in a region.
- For example, if the "Number" column for Region A shows 50,000 Hispanics, this means there are exactly 50,000 Hispanic (Latino) individuals in Region A.
- Step 2: Understanding the "% of Total Population" Column:
- This column provides the percentage of the total population that is Hispanic (Latino).
- For example, if Region A has a "% of Total Population" of 10%, it means Hispanics (Latinos) make up 10% of the entire population in Region A.
- Step 3: Understanding the "Total" Column:
- This column gives the total number of people (the whole population) living in the region.
- For example, if Region A has a "Total" population of 500,000 people, there are 500,000 individuals living in that region, irrespective of ethnicity.
### Mathematical Relationship:
The relationship between these columns can be expressed through the formula:
[tex]\[ \text{Number} = \left( \frac{\% \text{ of Total Population}}{100} \right) \times \text{Total} \][/tex]
### Example:
Imagine you have data for a specific region:
- Total population of the region = 500,000 (from the "Total" column)
- Percentage of the total population that is Hispanic (Latino) = 10% (from the "% of Total Population" column)
Using the relationship,
[tex]\[ \text{Number} = \left( \frac{10}{100} \right) \times 500,000 = 0.10 \times 500,000 = 50,000 \][/tex]
Therefore, the "Number" of Hispanic (Latino) individuals in this region would be 50,000.
### Conclusion:
In summary, the "Number" column represents the Hispanic (Latino) population in absolute terms, the "% of Total Population" column indicates what portion of the total population this number represents as a percentage, and the "Total" column is the overall population figure for the region. The values in the "Number" column can be derived by multiplying the total population by the percentage (as a decimal) indicated in the "% of Total Population" column.
1. Number (Hispanic Population): This column represents the absolute count of Hispanic (Latino) individuals within each specific geographic region or state.
2. % of Total Population: This column indicates the percentage that the Hispanic (Latino) population constitutes of the total population in each specific geographic area or state.
3. Total (Total Population): This column represents the total population of the given geographic region or state.
We can derive the relationship between these columns using basic mathematical reasoning:
### Step-by-Step Analysis:
- Step 1: Understanding the "Number" Column:
- This column gives the actual number of Hispanic (Latino) people in a region.
- For example, if the "Number" column for Region A shows 50,000 Hispanics, this means there are exactly 50,000 Hispanic (Latino) individuals in Region A.
- Step 2: Understanding the "% of Total Population" Column:
- This column provides the percentage of the total population that is Hispanic (Latino).
- For example, if Region A has a "% of Total Population" of 10%, it means Hispanics (Latinos) make up 10% of the entire population in Region A.
- Step 3: Understanding the "Total" Column:
- This column gives the total number of people (the whole population) living in the region.
- For example, if Region A has a "Total" population of 500,000 people, there are 500,000 individuals living in that region, irrespective of ethnicity.
### Mathematical Relationship:
The relationship between these columns can be expressed through the formula:
[tex]\[ \text{Number} = \left( \frac{\% \text{ of Total Population}}{100} \right) \times \text{Total} \][/tex]
### Example:
Imagine you have data for a specific region:
- Total population of the region = 500,000 (from the "Total" column)
- Percentage of the total population that is Hispanic (Latino) = 10% (from the "% of Total Population" column)
Using the relationship,
[tex]\[ \text{Number} = \left( \frac{10}{100} \right) \times 500,000 = 0.10 \times 500,000 = 50,000 \][/tex]
Therefore, the "Number" of Hispanic (Latino) individuals in this region would be 50,000.
### Conclusion:
In summary, the "Number" column represents the Hispanic (Latino) population in absolute terms, the "% of Total Population" column indicates what portion of the total population this number represents as a percentage, and the "Total" column is the overall population figure for the region. The values in the "Number" column can be derived by multiplying the total population by the percentage (as a decimal) indicated in the "% of Total Population" column.
