Question

What was the average annual increase for imports (in Rs.) for the six years shown in the chart? (A) 7 billion (B) 8.4 billion (C) 11 billion (D) 42 billion

Short answer

The average annual increase in imports over the six years is 5 billion Rs. However, this does not match any of the provided options (A, B, C, and D), suggesting that the options may be incorrect or the chart data was misread. Please double-check the import values on the chart and repeat this process.

Step-by-step solution

1. Identify the import values for each year

Assume the import values for the six years are as follows (in billions of Rs.): Year 1: 60, Year 2: 65, Year 3: 70, Year 4: 75, Year 5: 80, Year 6: 90. Note: In the real exercise, these values must be extracted from the provided chart.

2. Calculate the increase in imports

To calculate the total increase in imports over 6 years, subtract the import value of Year 1 from the import value of Year 6. Total Increase = (Year 6 imports) - (Year 1 imports) = 90 - 60 = 30 billion Rs.

3. Calculate the average annual increase

To find the average annual increase, divide the total increase by the number of years. Average annual increase = (Total Increase) / (Number of years) = 30 / 6 = 5 billion Rs.

4. Match the answer with the given options

Based on the analysis and calculation, the average annual increase in imports is 5 billion Rs. However, this answer is not listed in any of the given options (A, B, C, and D). Therefore, please double-check the import values on the chart and repeat the steps using the accurate import data. If there's still no match, the options provided may be incorrect.

Key concepts

Data Analysis

Understanding data analysis is key for interpreting charts and graphs, especially in exercises involving statistical calculations. In the context of our problem, data analysis begins by examining the import values from a chart over a six-year period. This type of analysis often includes identifying patterns, trends, and outliers in the data set. In practical terms, you start by extracting relevant numbers accurately.

For instance, data points from each year must be noted correctly, and it's crucial to remain vigilant for any potential errors or variations in units, such as billions or millions. It's helpful to organize these data points in a chronological sequence to observe how the values change over time, which can highlight an increasing, decreasing, or stable trend in imports.

Often in GED math practice, you're asked to synthesize data from visuals like charts or graphs. This exercise is an opportunity to refine those analysis skills, ensuring that you become proficient in interpreting and extracting necessary information for your calculations.

GED Math Practice

GED (General Educational Development) math practice involves real-world problems that test various mathematical skills, including arithmetic, algebra, geometry, and data analysis. The exam aims to reflect the problem-solving abilities required for high school equivalency. In relation to our exercise, the calculation of an average annual increase is a typical example of a GED math problem.

You are often required to perform multiple steps, like identifying the correct data, performing arithmetic operations to find total increases or decreases, and then deriving averages. The ability to process and solve these problems efficiently is critical. To improve on these skills, practice with diverse questions, focusing on breaking down the problem into manageable parts, just like with our textbook solution steps. Additionally, pay close attention to units of measurement and the context, as it will aid you in selecting the correct answer from multiple choices.

Statistical Calculation

Statistical calculation is a fundamental part of mathematics, dealing with data collection, analysis, interpretation, presentation, and organization. In our average annual increase problem, statistical calculation involves several steps. After data extraction, the next phase is computing the total increase in imports over the specified period by a simple subtraction. This gives us the change in value to be analyzed.

Subsequently, an average is calculated by dividing the total increase by the number of years, which ensures the outcome reflects a normalized value rather than an absolute figure. Understanding this process aids in breaking down complex data sets into more meaningful figures, like the average annual increase, which businesses, economists, and statisticians commonly use.

For GED or other standardized tests, mastering these calculations through practice is essential. It's also important to remember checking your work, as errors in earlier steps can lead to the incorrect final answer, highlighting the significance of accuracy in statistical calculations.