The following table shows the percentage (%) of girls who passed in an examination and the percentage (%) of boys who failed in that exam in a school during the six years from 2018 to 2023. Based on the data in the table, answer the questions that follow.
Year-wise Result details of Students
Year Percentage of Girls who passed Percentage of Boys who failed 2018 32% 40% 2019 42% 60% 2020 55% 25% 2021 40% 30% 2022 60% 50% 2023 42% 80%
Analyzing Girls Performance Improvement Year-on-Year
The question asks us to find the year when the performance of girls showed the maximum improvement compared to the previous year. We need to look at the 'Percentage of Girls who passed' column in the provided table and calculate the year-on-year increase.
Student Performance Data
| Year | Percentage of Girls who passed | Percentage of Boys who failed |
|---|---|---|
| 2018 | 32% | 40% |
| 2019 | 42% | 60% |
| 2020 | 55% | 25% |
| 2021 | 40% | 30% |
| 2022 | 60% | 50% |
| 2023 | 42% | 80% |
Calculating Improvement in Girls' Passing Percentage
We will calculate the difference in the percentage of girls passing between consecutive years. An increase in this percentage indicates an improvement in performance.
- 2018 to 2019: The percentage of girls passing increased from 32% to 42%.
Improvement = $\text{42\%} - \text{32\%} = \text{10\%}$ - 2019 to 2020: The percentage of girls passing increased from 42% to 55%.
Improvement = $\text{55\%} - \text{42\%} = \text{13\%}$ - 2020 to 2021: The percentage of girls passing decreased from 55% to 40%.
Change = $\text{40\%} - \text{55\%} = -\text{15\%}$ (This is a decrease, not an improvement) - 2021 to 2022: The percentage of girls passing increased from 40% to 60%.
Improvement = $\text{60\%} - \text{40\%} = \text{20\%}$ - 2022 to 2023: The percentage of girls passing decreased from 60% to 42%.
Change = $\text{42\%} - \text{60\%} = -\text{18\%}$ (This is a decrease, not an improvement)
Identifying Maximum Improvement Year
Comparing the calculated improvements:
- Improvement in 2019: 10%
- Improvement in 2020: 13%
- Improvement in 2022: 20%
The largest increase in the percentage of girls passing occurred between 2021 and 2022, which is a 20% improvement. Therefore, the performance of girls showed maximum improvement in the year 2022 compared to the previous year.
Important Questions from Data Interpretation
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The total runs scored by four cricketers P, Q, R, and S in years $2009$ and $2010$ are given in the following table:
Player $2009$ $2010$ P $802$ $1008$ Q $765$ $912$ R $429$ $619$ S $501$ $701$
The player with the lowest percentage increase in total runs isStudy the given table and answer the following question:
Annual consumption (in hundred tonnes) of tea in five states (A, B, C, D and E) across 6 years (2014 to 2019):State Year A B C D E 2014 112 130 136 105 117 2015 122 138 150 140 120 2016 124 134 142 144 132 2017 132 154 198 149 133 2018 135 148 187 151 145 2019 153 136 198 150 187 The total consumption of tea in state C in 2015 to 2017 is by what percentage more than the total consumption of tea in states A, B and D in 2015?
The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
