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DI: Campus Placement Salaries

XAT 2016 · Quantitative Ability & Data Interpretation · Hard · Data Interpretation

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Passage / data set

This graph depicts the last eight years' annual salaries (in Rs. lacs.) offered to student 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.

(Graph shows 4 salary quartiles and mean salary line across 2008 to 2015)

Question 1 of 4

In which year were a maximum number of students offered salaries between Rs. 20 to Rs.30 lacs(both inclusive)?

  1. A.

    2008

  2. B.

    2009

  3. C.

    2010

  4. D.

    2012

  5. E.

    Cannot be determined

Answer

E

Explanation

The stacked chart provides salary ranges for student bands (bottom 25, 26th-median, median-75th, top 25) but not individual student salary distributions inside each range. Thus exact student count in 20-30 lacs cannot be determined.

Question 2 of 4

Identify the years in which the annual median salary is higher by at least 60% than the average salary of the preceding year?

  1. A.

    2009, 2010

  2. B.

    2012, 2014

  3. C.

    2009, 2010, 2012

  4. D.

    2009, 2012, 2014

  5. E.

    2009, 2010, 2012, 2014

Answer

B

Explanation

Comparing median salary of year tt with mean salary of year t−1t-1: 2012: Median(2012) = 20, Mean(2011) = 10   ⟹  \implies increase = 100%≥60%100\% \ge 60\%. 2014: Median(2014) = 31, Mean(2013) = 16   ⟹  \implies increase = 93.75%≥60%93.75\% \ge 60\%. Thus years 2012 and 2014 satisfy the condition.

Question 3 of 4

Identify the number of years in which the difference between the average salaries of the top 25% and the bottom 25% is more than Rs. 20 lacs:

  1. A.

    0

  2. B.

    1

  3. C.

    2

  4. D.

    3

  5. E.

    None of the above options

Answer

E

Explanation

Since exact distributions within quartiles are not provided, exact averages of top 25% and bottom 25% cannot be determined with precision for all years.

Question 4 of 4

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.

Years20082009201020112012201320142015
Number without job offers9520224152
  1. A.

    3

  2. B.

    4

  3. C.

    5

  4. D.

    6

  5. E.

    Cannot be solved without additional information.

Answer

A

Explanation

New Mean = Mean×100100−unplaced\text{Mean} \times \frac{100}{100 - \text{unplaced}}. 2008: 16×10091=17.58>1416 \times \frac{100}{91} = 17.58 > 14 (Median) 2010: 19×10080=23.75>2219 \times \frac{100}{80} = 23.75 > 22 (Median) 2013: 16×10096=16.67>1616 \times \frac{100}{96} = 16.67 > 16 (Median) Thus in 3 years (2008, 2010, 2013), the new average salary exceeds the median salary.

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