XAT 2015 — QA & DI Question 30
Answer the questions on the basis of information given below.
As a part of employee improvement programs, every year an organization conducts a survey on three factors: 1. Number of days (in integers) of training undergone, 2. Amount of bonus (in lacs) received by an employee and 3. Employee effectiveness score (on the scale of 1 to 10). Survey results for last two years are given below for the same seven employees.
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In Survey 1, what was the average bonus earned by employees who underwent training for more than 17 days?
Answer & solution
- A
Between 16 and 17 lacs
- B
Between 17 and 18 lacs
- C
Between 18 and 19 lacs
Between 19 and 20 lacs
- E
None of the above
Observe the radar chart and consider any employee randomly, say employee 2 (E2). The effectiveness score of E2 in Survey 1 is 5 and Survey 2 is between 9 and 10. The scores for all employees for both the surveys can be similarly summarized as follows,
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Observe the graph of “Days of Training Undergone” (X axis) vs “Employee Effectiveness Scores” (Y axis), and try to identify each employee. E2 can be identified by finding a triangular mark (corresponding to survey 1) against a score of 5 and a cross (corresponding to survey 2) betweenscores of 9 and 10. Similarly, each employee can be identified in this graph.
The same logic also applies to the graph on “Bonus Received” (X axis) versus “Employee Effectiveness Scores” (Y axis).
Again, consider the graphs on training and bonus. Observe that E2 has spent 10 and 21 days in training; and received approximately 27.5 lacs and 22 lacs bonus, based on surveys 1 and 2 respectively.
Similarly, the training and bonus figures for each employee can be found as shown below:
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Only E4 and E5 underwent more than 17 days of training in Survey 1, and their respective bonuses (as per Survey 1) are 20.5 and 18 lacs.
Hence, their average bonus for Survey 1 is 19.25 lacs.