College A B C D E Demand (application received) 3000 600 2500 1200 3300 Intake (available seats) 1500 1800 1000 2700 2200
Analyzing College Admission Data
The question asks us to compare the number of colleges where the demand for seats is higher than the available intake versus the number of colleges where the available seats are higher than the demand.
Comparing Demand and Intake for Each College
First, let's examine the data provided for each college to see if the demand (number of applications received) is greater than the intake (available seats), or vice versa.
| College | Demand (Applications Received) | Intake (Available Seats) | Comparison (Demand vs Intake) |
|---|---|---|---|
| A | 3000 | 1500 | Demand > Intake |
| B | 600 | 1800 | Intake > Demand |
| C | 2500 | 1000 | Demand > Intake |
| D | 1200 | 2700 | Intake > Demand |
| E | 3300 | 2200 | Demand > Intake |
Counting Colleges in Each Category
Now, we count how many colleges fall into each comparison category:
- Colleges with Demand > Intake: Colleges A, C, and E. That's a total of 3 colleges.
- Colleges with Intake > Demand: Colleges B and D. That's a total of 2 colleges.
Calculating the Required Ratio
The question asks for the ratio of the number of colleges having more demand than available seats to those having more available seats than demand.
The ratio can be expressed as:
$$ \text{Ratio} = \frac{\text{Number of colleges with Demand > Intake}}{\text{Number of colleges with Intake > Demand}} $$
Substituting the counts we found:
$$ \text{Ratio} = \frac{3}{2} $$
Therefore, the ratio is 3:2.
Important Questions from Data Interpretation
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