College A B C D E Demand (application received) 3000 600 2500 1200 3300 Intake (available seats) 1500 1800 1000 2700 2200
This question requires us to compare the average demand for seats in five colleges against the average available seats (intake) across these same colleges. We need to find out by what percentage the average demand exceeds the average intake.
Data Analysis: Demand and Intake in Five Colleges
First, let's organize the data provided in the table:
| College | Demand (application received) | Intake (available seats) |
| A | 3000 | 1500 |
| B | 600 | 1800 |
| C | 2500 | 1000 |
| D | 1200 | 2700 |
| E | 3300 | 2200 |
Calculating Average Demand
To find the average demand, we sum the demand from all five colleges and divide by the number of colleges (which is 5).
Total Demand = Demand(A) + Demand(B) + Demand(C) + Demand(D) + Demand(E)
Total Demand = 3000 + 600 + 2500 + 1200 + 3300 = 10600 applications
Average Demand = \(\frac{Total \, Demand}{Number \, of \, Colleges}\)
Average Demand = \(\frac{10600}{5}\) = 2120 applications
Calculating Average Intake
Similarly, to find the average intake, we sum the available seats from all five colleges and divide by 5.
Total Intake = Intake(A) + Intake(B) + Intake(C) + Intake(D) + Intake(E)
Total Intake = 1500 + 1800 + 1000 + 2700 + 2200 = 9200 seats
Average Intake = \(\frac{Total \, Intake}{Number \, of \, Colleges}\)
Average Intake = \(\frac{9200}{5}\) = 1840 seats
Determining Percentage Difference
Now we need to find how much percent more the average demand is than the average intake. First, calculate the difference between the average demand and the average intake.
Difference = Average Demand - Average Intake
Difference = 2120 - 1840 = 280
To express this difference as a percentage of the average intake, we use the following formula:
Percentage Increase = \(\frac{Difference}{Average \, Intake} \times 100\%\)
Percentage Increase = \(\frac{280}{1840} \times 100\%\)
Percentage Increase = \(\frac{28}{184} \times 100\%\)
Percentage Increase = \(\frac{7}{46} \times 100\%\)
Percentage Increase ≈ 0.1521739... \(\times 100\%\)
Percentage Increase ≈ 15.21739... %
Rounding this to two decimal places, we get 15.22%.
Conclusion
The average demand of all five colleges is approximately 15.22% more than the average of the available seats.
Important Questions from Data Interpretation
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 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?
Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.
The ratio between the companies having more production than demand and more demand than production is:
Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.
During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?
The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?
