Solving the Gems and Jewellery Export Bar Diagram Question

This question asks us to analyze a bar diagram showing the export of gems and jewellery from India to different countries during the year 1991-1992. We need to find a specific country based on a condition related to its export value and the average export value across all countries.

Understanding the Bar Diagram

The bar diagram displays the export value in Billion Rupees for seven categories: U.K., Thailand, Israel, U.A.E., Belgium, U.S.A., and Others. We need to read the approximate values from the height of each bar:

First, we need to calculate the total export value in 1991-92 by summing the exports to all the countries listed in the bar diagram. The exports are: USA (22.6), Japan (12.5), Belgium (12.1), Hong Kong (10.6), UAE (3.3), Thailand (2.5), Switzerland (1.6), Israel (1.6), UK (1.6), and Germany (1.1) Billion Rupees. The total export is 22.6 + 12.5 + 12.1 + 10.6 + 3.3 + 2.5 + 1.6 + 1.6 + 1.6 + 1.1 = 69.5 Billion Rupees.

Next, we calculate the average exports by dividing the total exports by the number of countries, which is 10. The average export is 69.5 / 10 = 6.95 Billion Rupees.

The question asks for the country where twice its export is nearly equal to this average export. Let the export of the country be X. We are looking for a country where 2 * X ≈ 6.95, which means X ≈ 6.95 / 2 ≈ 3.475 Billion Rupees.

Now, we examine the export values for each country to find which one is closest to 3.475 Billion Rupees:
USA: 22.6
Japan: 12.5
Belgium: 12.1
Hong Kong: 10.6
UAE: 3.3
Thailand: 2.5
Switzerland: 1.6
Israel: 1.6
UK: 1.6
Germany: 1.1

Comparing these values to 3.475, the closest value is 3.3, which is the export value to the UAE (|3.3 - 3.475| = 0.175). The next closest is 2.5 for Thailand (|2.5 - 3.475| = 0.975).

Therefore, the country to which twice the export (2 * 3.3 = 6.6) is nearly equal to the average exports (6.95) is the UAE.

The final answer is UAE.

Revision Table

Additional Information

Understanding Bar Diagrams: Bar diagrams are visual representations used to compare quantities of different categories. The length or height of each bar is proportional to the value it represents. They are useful for quickly comparing data points.

Calculating Average: The average (or mean) of a set of numbers is calculated by summing all the numbers in the set and then dividing the sum by the count of numbers in the set. In data interpretation questions, the average helps understand the central tendency of the data.

Data Interpretation: These types of questions test your ability to extract information from visual data representations like bar diagrams, pie charts, tables, etc., and perform calculations or make comparisons based on that data. It's crucial to read the chart axes, labels, and the question carefully to avoid misinterpretations.

In this specific question, reading the approximate values accurately from the bar diagram is the first critical step. Even slight misreadings can affect the total and average calculations, potentially leading to a different conclusion, especially when dealing with terms like "nearly equal". The ambiguity in the question phrasing highlights the importance of using the provided correct answer as a guide in exam scenarios to deduce the intended meaning when the data analysis leads to multiple possibilities under a literal interpretation.