Study the bar diagram carefully and answer the following questions. Export (in Billion Rupees) of gems and jewellery in the year 1991-1992 is given. The ratio of the sum of the exports to the bottom six countries to the total exports to all the given countries in 1991-1992 is approximately:
1/6
The question asks us to analyze a bar diagram showing the exports of gems and jewellery to ten different countries in the year 1991-1992. We need to find the approximate ratio of the sum of exports to the "bottom six countries" to the total exports to all ten countries.
First, let's carefully read the export values for each country from the bar diagram:
First, identify the bottom six countries from the bar diagram, which are those with the lowest export values. Reading from the bottom up, these are Germany (1.1), UK (1.6), Israel (1.6), Switzerland (1.6), Thailand (2.5), and UAE (3.3) Billion Rupees.
Next, calculate the sum of the exports to these bottom six countries.
Sum of exports to bottom six = 1.1 + 1.6 + 1.6 + 1.6 + 2.5 + 3.3 = 11.7 Billion Rupees.
Then, calculate the total exports to all the given countries. Summing the exports for all ten countries:
Total exports = 22.6 (USA) + 12.5 (Japan) + 12.1 (Belgium) + 10.6 (Hong Kong) + 3.3 (UAE) + 2.5 (Thailand) + 1.6 (Switzerland) + 1.6 (Israel) + 1.6 (UK) + 1.1 (Germany) = 69.5 Billion Rupees.
Finally, calculate the ratio of the sum of the exports to the bottom six countries to the total exports.
Ratio = (Sum of exports to bottom six) / (Total exports)
Ratio = 11.7 / 69.5
Now, calculate the approximate value of this ratio.
11.7 ÷ 69.5 ≈ 1/6
Bar diagrams are visual representations of data using bars of different heights or lengths. They are useful for comparing quantities across different categories. To read a bar diagram:
In this question, the bar diagram allows us to quickly compare the export performance of different countries and extract the necessary numerical data for calculations like sums and ratios. Understanding how to accurately read values from bar diagrams is a fundamental skill in data interpretation.
When a question asks for an "approximate" ratio, it usually suggests that the calculated value may not exactly match any option, but will be very close to one of them. However, as seen in this problem, the approximation can sometimes involve a larger difference, possibly due to the source or nature of the question.
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