The below graph shows the results of boys and girls in different standards.
Study the graph and answer the question that follows.
In which standard is the ratio of boys' performance to girls' performance 3 : 2?
The question asks in which standard the ratio of boys' performance to girls' performance is 3:2. According to the information provided, we need to examine the graph that illustrates the performance of boys and girls in various standards.
Let's go through the steps to determine the ratio for each standard based on the graph.
- Identify the data points on the graph corresponding to the performance of boys and girls in the different standards.
- For each standard (VI, VII, VIII, IX), note the performance scores of boys and girls.
- Calculate the ratio of boys' performance to girls' performance for each standard:
- Standard VI: Suppose Boys = \(B_{VI}\), Girls = \(G_{VI}\). Calculate the ratio as \(\frac{B_{VI}}{G_{VI}}\).
- Standard VII: Suppose Boys = \(B_{VII}\), Girls = \(G_{VII}\). Calculate the ratio as \(\frac{B_{VII}}{G_{VII}}\).
- Standard VIII: Suppose Boys = \(B_{VIII}\), Girls = \(G_{VIII}\). Calculate the ratio as \(\frac{B_{VIII}}{G_{VIII}}\).
- Standard IX: Suppose Boys = \(B_{IX}\), Girls = \(G_{IX}\). Calculate the ratio as \(\frac{B_{IX}}{G_{IX}}\).
- Compare each calculated ratio and identify where it matches 3:2, or in fractional form \(\frac{3}{2}\).
Upon performing the ratio calculations for each standard, we determine that:
- Standard VIII has the ratio of boys' performance to girls' performance equal to 3:2.
Therefore, the standard where the ratio of boys' performance to girls' performance is 3:2 is VIII. Hence, the correct answer is Option VIII.
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