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Age Distribution of the Population by Sex and Region (2019)
(Numbers in thousands. Civilian Non-institutionalized Population.)

| Age | Total US (number) | Total US (percent) | South (number) | South (percent) |
|---------------|-------------------|--------------------|----------------|-----------------|
| Both sexes | 328,239 | 100.0 | 125,581 | 100.0 |
| Under 5 years | 19,405 | 5.9 | 7,562 | 6.0 |
| 5 to 9 years | 19,690 | 6.0 | 7,673 | 6.1 |
| 10 to 14 years| 21,423 | 6.5 | 8,418 | 6.7 |
| 15 to 19 years| 21,354 | 6.5 | 8,288 | 6.6 |
| 20 to 24 years| 21,469 | 6.5 | 8,144 | 6.5 |
| 25 to 29 years| 23,233 | 7.1 | 8,709 | 6.9 |
| 30 to 34 years| 22,345 | 6.8 | 8,416 | 6.7 |
| 35 to 39 years| 21,728 | 6.6 | 8,309 | 6.6 |
| 40 to 44 years| 20,187 | 6.1 | 7,840 | 6.2 |
| 45 to 49 years| 20,398 | 6.2 | 7,943 | 6.3 |
| 50 to 54 years| 20,465 | 6.2 | 7,795 | 6.2 |
| 55 to 59 years| 21,484 | 6.5 | 8,121 | 6.5 |
| 60 to 64 years| 20,984 | 6.4 | 7,817 | 6.2 |
| 65 to 69 years| 17,427 | 5.3 | 6,598 | 5.3 |
| 70 to 74 years| 14,149 | 4.3 | 5,480 | 4.4 |
| 75 to 79 years| 9,760 | 3.0 | 3,790 | 3.0 |
| 80 to 84 years| 6,380 | 1.9 | 2,424 | 1.9 |
| 85 years and over| 6,358 | 1.9 | 2,254 | 1.8 |

Consider only the South region when answering these questions.
(Note: The values in the table are expressed in thousands.)

a) What is the total population for the 15 to 64 year olds of the South region?

b) What is the ratio of 15 to 64 year olds to the total population of the South region?
Express your answer as a decimal rounded correctly to the thousandths place.

c) What kind of ratio is this?
- part-to-whole

Decimal ratios can be scaled to make meaningful sentences. Use the rounded decimal version of your ratio value to answer the remaining questions.

d) This means there are ______ people aged 15 to 64 for every 1000 people in the South region.

e) For every 100,000 people in the South region, there are ______ people aged 15 to 64.

Ratios that are 'part-to-whole' may be written as percents. Multiply the decimal value from part b by 100 to scale the value and express the ratio as 'per hundred' or a percent. Express your answers rounded to the nearest tenth of a percent.

f) What percent of the total population of the South region would be classified as Working Aged?
______ %

Answer :

a) The total population for the 15 to 64-year-olds in the South region is 81,382,000.

b) The ratio of 15 to 64-year-olds to the total population of the South region is 0.648.

c) This ratio is a part-to-whole ratio.

d) This means there are 648 people 5 to 64-year-olds for every 1000 people in the South region.

e) For every 100000 people in the South region there are 64,800 people 15 to 64-year-olds.

f) 64.8% of the total population of the South region would be classified as working-aged.

How the values are computed:

a) To find the total population for the 15 to 64-year-olds in the South region, we need to sum the population numbers for each age group within that range:

Total population for 15 to 64 year olds = Sum of populations for age groups 15 to 19 years to 60 to 64 years in the South region

Total population for 15 to 64 year olds = 81,382 (in thousands) (8,288 + 8,144 + 8,709 + 8,416 + 8,309 + 7,840 + 7,943 + 7,795 + 8,121 + 7,817)

b) To find the ratio of 15 to 64-year-olds to the total population of the South region, we divide the total population for 15 to 64 year olds by the total population of the South region:

Ratio = Total population for 15 to 64-year-olds / Total population of the South region

Ratio = 81,382 / 125,581

Ratio ≈ 0.648

c) This ratio is a part-to-whole ratio.

d) 0.648 = 64.8% (0.648 x 100)

For every 1000 people in the South region, there are approximately 648 people 15 to 64-year-olds (1,000 x 0.648).

e) For every 100,000 people in the South region, there are approximately 64,800 15 to 64-year-olds (100,000 x 0.648)

f) To express the ratio as a percent, we multiply the decimal value by 100:

Percent of total population classified as Working Aged = 64.8% (0.648 * 100)

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Rewritten by : Barada

Approximately 64.8% of the total population of the South region would be classified as Working Aged.

a) To find the total population for the 15 to 64 year olds of the South region, we need to sum the populations for the age groups 15 to 19 years through 60 to 64 years:

Total population for 15 to 64 year olds = Population (15 to 19 years) + Population (20 to 24 years) + ... + Population (60 to 64 years)

[tex]\[ \text{Total population for 15 to 64 year olds} = 8,288 + 8,144 + 8,709 + 8,416 + [8,309 + 7,840 + 7,943 + 7,795 + 8,121 + 7,817 \][/tex]

[tex]\[ \text{Total population for 15 to 64 year olds} = 81,382 \text{ thousand} \][/tex]

b) To find the ratio of 15 to 64 year olds to the total population of the South region, we divide the total population for 15 to 64 year olds by the total population of the South region:

[tex]\[ \text{Ratio} = \frac{\text{Total population for 15 to 64 year olds}}{\text{Total population of the South region}} \][/tex]

[tex]\[ \text{Ratio} = \frac{81,382}{125,581} \][/tex]

[tex]\[ \text{Ratio} \approx 0.648 \][/tex]

c) This ratio represents a part-to-whole ratio.

d) To answer this question, we use the rounded decimal version of the ratio value from part b. For every 1000 people in the South region, there are 648 people aged 15 to 64 years.

e) To answer this question, we need to scale the ratio for every 100,000 people. We can do this by multiplying the ratio by 100.

[tex]\[ 0.648 \times 100 = 64.8 \][/tex]

So, for every 100,000 people in the South region, there are approximately 64,800 people aged 15 to 64 years.

f) To find the percent of the total population of the South region that would be classified as Working Aged, we use the ratio from part b and scale it to a percent.

[tex]\[ \text{Percent} = 0.648 \times 100 = 64.8\% \][/tex]

So, approximately 64.8% of the total population of the South region would be classified as Working Aged.