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 shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 What does the height of the rectangle in a histogram show?
Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.
Category
2010
2011
Raw material
5200
6240
Power & fuel
7000
9450
Salary & wages
9000
12600
Plant & machinery
20000
25000
Advertising
15000
19500
Research & Development
22000
26400
In 2011, which of the following two categories have registered increase by same percentage?
Read the following table giving sales data of five types of batteries for years 2006 to 2012
Year
Type I
Type II
Type III
Type IV
Type V
2006
75
144
114
102
108
2007
90
126
102
84
126
2008
96
114
75
105
135
2009
105
90
150
90
75
2010
90
75
135
75
90
2011
105
60
165
45
120
2012
115
85
160
100
145
Out of the following which type of battery achieved highest growth between the years 2006 and 2012?Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?
A
D
B
G
E
C
F
