College A B C D E Demand (application received) 3000 600 2500 1200 3300 Intake (available seats) 1500 1800 1000 2700 2200
The question asks us to compare the difference between demand (applications received) and available seats (intake) for College E with that of College A. Specifically, we need to find out how much lower the difference is in College E compared to College A, expressed as a percentage of College A's difference.
Analyzing College Demand and Intake Data
First, let's look at the provided data for the colleges:
| College | Demand (application received) | Intake (available seats) |
|---|---|---|
| A | 3000 | 1500 |
| B | 600 | 1800 |
| C | 2500 | 1000 |
| D | 1200 | 2700 |
| E | 3300 | 2200 |
Calculating Differences for Colleges A and E
We need to calculate the difference between demand and intake for College A and College E.
- College A:
- Demand = 3000
- Intake = 1500
- Difference = Demand - Intake = $3000 - 1500 = 1500$
- College E:
- Demand = 3300
- Intake = 2200
- Difference = Demand - Intake = $3300 - 2200 = 1100$
Comparing the Differences
Now, we need to find out how much lower the difference in College E is compared to the difference in College A. This is the absolute difference between the two differences:
Difference between College A's difference and College E's difference = Difference in College A - Difference in College E
= $1500 - 1100 = 400$
Calculating Percentage Lower
To find the percentage by which College E's difference is lower than College A's difference, we use College A's difference as the base value.
Percentage Lower = $ \frac{\text{Difference in College A} - \text{Difference in College E}}{\text{Difference in College A}} \times 100 $
Percentage Lower = $ \frac{400}{1500} \times 100 $
Percentage Lower = $ \frac{4}{15} \times 100 $
Percentage Lower = $ \frac{400}{15} $
Percentage Lower = $ 26.666... \% $
Rounding this to two decimal places, we get 26.67%. This means the difference in demand and available seats in College E is approximately 26.67% lower than that of College A.
Important Questions from Data Interpretation
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