Xavier Aptitude Test 2016 Paper

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Study the graph below and answer the questions 72-75 that follow:
This graph depicts the last eight years’ annual salaries (in ` lacs). offered to students during campus placement. Every year 100 students go through placement process. However,at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph.

The bold line in graph presents Mean salaries at various years.

Question : 75 of 103

Marks: +1, -0

If the average salary is computed excluding students with no offers, in how many years will the new average salary be greater than the existing median salary? Refer the table below for number of students without offers.

Year	2008	2009	2010	2011	2012	2013	2014	2015
Number without job offers	9	5	20	2	2	4	15	2

3
4
5
6
cannot be solved with out additional information.

Validate

Solution:

(a) New Average Salary =

\ {( \text" Old Average Salary") \× 100}/{100-\ \text " Students without jobs"}

With the help of additional information given in the question, the new average would be higher than the graph average of all the years. During two years old averages were already higher than median (2008 and 2013). With 20 students taken out, the new average salary for 2010 would jump to 23.4 which is clearly higher than median salary of 22.
Similarly the value of 2013 would jump further by at least one hence making new average definitely higher than existing median.
In 2008, even the existing mean is visibly higher than median. Hence, the three years are 2008, 2010 and 2013.

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