Understanding the Budget Allocation Data

The question asks us to analyze the provided table showing the budget allocation for education in three states (P, Q, and R) over five years, from 2018 to 2022. Specifically, we need to determine the approximate percentage of the average budget of State Q compared to the average budget of State P during this five-year period.

Calculating Average Budget for State P

To find the average budget for State P from 2018 to 2022, we need to sum up the budget allocation for State P for all five years and then divide by the number of years (which is 5).

Budget for State P over 5 years:

• 2018: 200
• 2019: 250
• 2020: 264
• 2021: 410
• 2022: 430

Total budget for State P = \(200 + 250 + 264 + 410 + 430 = 1554\) Rs. crore.

Average budget for State P = \(\frac{\text{Total budget}}{\text{Number of years}} = \frac{1554}{5}\) Rs. crore.

\(\text{Average budget for State P} = 310.8\) Rs. crore.

Calculating Average Budget for State Q

Similarly, to find the average budget for State Q from 2018 to 2022, we sum up the budget allocation for State Q for all five years and divide by 5.

Budget for State Q over 5 years:

• 2018: 270
• 2019: 314
• 2020: 296
• 2021: 346
• 2022: 364

Total budget for State Q = \(270 + 314 + 296 + 346 + 364 = 1590\) Rs. crore.

Average budget for State Q = \(\frac{\text{Total budget}}{\text{Number of years}} = \frac{1590}{5}\) Rs. crore.

\(\text{Average budget for State Q} = 318\) Rs. crore.

Determining the Percentage Relationship

The question asks for the approximate percent that the average budget of State Q is to that of the average budget of State P. We calculate this as follows:

\(\text{Percentage} = \left( \frac{\text{Average budget of State Q}}{\text{Average budget of State P}} \right) \times 100\)

\(\text{Percentage} = \left( \frac{318}{310.8} \right) \times 100\)

\(\text{Percentage} \approx 1.0231659 \times 100\)

\(\text{Percentage} \approx 102.31659\%\)

We are asked for the approximate percentage. Rounding \(102.31659\%\) to the nearest whole number gives \(102\%\).

Therefore, the average budget of State Q is approximately 102% of the average budget of State P from 2018 to 2022.

Revision Table: Key Calculations for Budget Analysis

Percentage Calculation: \(\left( \frac{318}{310.8} \right) \times 100 \approx 102\%\)

Additional Information: Data Interpretation Fundamentals

Data interpretation involves analyzing and understanding data presented in tables, charts, or graphs to answer specific questions. Key skills include:

• Reading Data: Accurately extracting information from the given data source.
• Calculation: Performing necessary mathematical operations such as summation, averaging, calculating percentages, ratios, etc.
• Comparison: Comparing values or trends across different categories or time periods.
• Approximation: Providing answers that are close to the exact value when required, often involving rounding.

For percentage calculations like "what percent is A of B?", the formula is \(\left( \frac{A}{B} \right) \times 100\). When approximating, look at the first decimal place; if it's 5 or greater, round up the whole number; otherwise, keep the whole number as it is.