The total percentage of illiterates in all the four cities is _______ (round to one decimal place). City Population Literate illiterate % of literate A 200 150 50 - B - 200 100 66.6 C 150 50 100 - D 120 - 90 25
44.2
Calculating Total Illiteracy Percentage in Cities Data
The problem asks us to find the total percentage of illiterates across four different cities (A, B, C, and D) based on the data provided in a table. The data includes population, literate population, illiterate population, and percentage of the literate population, but some values are missing.
Understanding the Provided Data for City Illiteracy
Let's look at the data for each city and identify the missing information we need to calculate:
| City | Population | Literate | Illiterate | % of literate |
|---|---|---|---|---|
| A | 200 | 150 | 50 | - |
| B | - | 200 | 100 | 66.6 |
| C | 150 | 50 | 100 | - |
| D | 120 | - | 90 | 25 |
Calculating Missing Population and Illiterate Data
We can use the relationships between population, literate, and illiterate counts to fill in the missing data points:
- Total Population = Literate Population + Illiterate Population
- % of Literate = (Literate Population / Total Population) × 100
Let's calculate the missing values for each city:
- City A: Population = 200, Literate = 150, Illiterate = 50. All numbers are given for our calculation purposes.
- City B: Literate = 200, Illiterate = 100.
- Population = Literate + Illiterate = 200 + 100 = 300.
- City C: Population = 150, Literate = 50, Illiterate = 100. All numbers are given for our calculation purposes.
- City D: Population = 120, Illiterate = 90.
- Literate = Population - Illiterate = 120 - 90 = 30.
Complete City Data Table
Now we have the necessary population and illiterate counts for all four cities:
| City | Population | Literate | Illiterate |
|---|---|---|---|
| A | 200 | 150 | 50 |
| B | 300 | 200 | 100 |
| C | 150 | 50 | 100 |
| D | 120 | 30 | 90 |
Calculating Total Population and Total Illiterates
To find the total percentage of illiterates across all four cities, we need to sum the populations and the illiterate counts from each city.
- Total Population: Sum of populations of City A, B, C, and D.
- Total Population $= 200 + 300 + 150 + 120 = 770$
- Total Illiterate Population: Sum of illiterate populations of City A, B, C, and D.
- Total Illiterate Population $= 50 + 100 + 100 + 90 = 340$
Calculating the Total Percentage of Illiterates
Now we can calculate the total percentage of illiterates using the total illiterate population and the total population:
- Total Percentage of Illiterates $= \left( \frac{\text{Total Illiterate Population}}{\text{Total Population}} \right) \times 100$
- Total Percentage of Illiterates $= \left( \frac{340}{770} \right) \times 100$
- Total Percentage of Illiterates $\approx 0.441558 \times 100$
- Total Percentage of Illiterates $\approx 44.1558\%$
Rounding the total percentage of illiterates to one decimal place, we get $44.2\%$.
Revision Table: Key Calculations
| Calculation Step | Value |
|---|---|
| Total Population | 770 |
| Total Illiterate Population | 340 |
| Total Percentage of Illiterates (Rounded) | 44.2% |
Additional Information on Population Data Analysis
When dealing with population data and percentages, it's important to correctly identify the base for the percentage calculation. In this case, the percentage of illiterates is based on the total population. Data interpretation questions often require careful reading of tables and sometimes involve calculating missing values before the final answer can be determined. Understanding the relationship between total population, literate population, and illiterate population is fundamental for solving such problems.
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