Read the given passage and answer the questions that follow The following table has the number of enrolled students for a particular course and year. Total number of seats are given in brackets with respect to each course. Number of Enrolled Students BTech MTech MPhilYear
(120)
(30)
(20)MBA
(60)2016 96 24 12 52 2017 110 26 14 57 2018 108 25 13 54 2019 112 28 15 56 2020 104 27 16 48
Find out the difference between average vacant seats of M Tech and MBA for 2016-2020
2.6
Understanding the Data and the Problem
The problem provides a table showing the number of students enrolled in four different courses (BTech, MTech, MPhil, MBA) over five years (2016-2020). The total number of seats for each course is also given in brackets.
The question asks us to find the difference between the average number of vacant seats for the MTech and MBA courses over the entire period from 2016 to 2020.
First, let's look at the provided data table:
| Year | BTech(120) | MTech(30) | MPhil(20) | MBA(60) |
|---|---|---|---|---|
| 2016 | 96 | 24 | 12 | 52 |
| 2017 | 110 | 26 | 14 | 57 |
| 2018 | 108 | 25 | 13 | 54 |
| 2019 | 112 | 28 | 15 | 56 |
| 2020 | 104 | 27 | 16 | 48 |
The total seats for MTech are 30, and for MBA are 60. Vacant seats for a given year and course are calculated as:
\(\text{Vacant Seats} = \text{Total Seats} - \text{Enrolled Students}\)
Calculating Vacant Seats for MTech (2016-2020)
We need to calculate the vacant seats for the MTech course for each year from 2016 to 2020. Total seats for MTech = 30.
- 2016: \(30 - 24 = 6\) vacant seats
- 2017: \(30 - 26 = 4\) vacant seats
- 2018: \(30 - 25 = 5\) vacant seats
- 2019: \(30 - 28 = 2\) vacant seats
- 2020: \(30 - 27 = 3\) vacant seats
Total vacant seats for MTech over the 5 years = \(6 + 4 + 5 + 2 + 3 = 20\) seats.
Average vacant seats for MTech = \(\frac{\text{Total vacant seats}}{\text{Number of years}} = \frac{20}{5} = 4\) seats.
Calculating Vacant Seats for MBA (2016-2020)
Now, we calculate the vacant seats for the MBA course for each year from 2016 to 2020. Total seats for MBA = 60.
- 2016: \(60 - 52 = 8\) vacant seats
- 2017: \(60 - 57 = 3\) vacant seats
- 2018: \(60 - 54 = 6\) vacant seats
- 2019: \(60 - 56 = 4\) vacant seats
- 2020: \(60 - 48 = 12\) vacant seats
Total vacant seats for MBA over the 5 years = \(8 + 3 + 6 + 4 + 12 = 33\) seats.
Average vacant seats for MBA = \(\frac{\text{Total vacant seats}}{\text{Number of years}} = \frac{33}{5} = 6.6\) seats.
Finding the Difference in Average Vacant Seats
The question asks for the difference between the average vacant seats of MTech and MBA for 2016-2020. This difference is the absolute difference between the two average values we calculated.
Difference = \(\left| \text{Average MBA Vacant Seats} - \text{Average MTech Vacant Seats} \right|\)
Difference = \(\left| 6.6 - 4 \right| = \left| 2.6 \right| = 2.6\)
The difference between the average vacant seats of MTech and MBA for the years 2016-2020 is 2.6.
Revision Table: Vacant Seats Summary
| Year | MTech (Vacant) | MBA (Vacant) |
|---|---|---|
| 2016 | 6 | 8 |
| 2017 | 4 | 3 |
| 2018 | 5 | 6 |
| 2019 | 2 | 4 |
| 2020 | 3 | 12 |
| Total (2016-2020) | 20 | 33 |
| Average | \(\frac{20}{5} = 4\) | \(\frac{33}{5} = 6.6\) |
Difference in Averages = \(6.6 - 4 = 2.6\)
Additional Information: Data Interpretation Tips
When tackling data interpretation questions involving tables, consider these tips:
- Read the title and column/row headers carefully to understand what the data represents.
- Pay close attention to any notes or information provided (like total seats in brackets).
- Identify exactly what the question is asking (e.g., sum, average, difference, percentage change).
- Break down the problem into smaller steps (e.g., calculate vacant seats per year, then sum, then average).
- Perform calculations accurately, double-checking your arithmetic.
- Be mindful of the units or context of the final answer.
- Practice with different types of data tables and charts to improve speed and accuracy.
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?
