GATE DA 2025 Set 1 — Question 10
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General Aptitude → Descriptive Statistics → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
The number of patients per shift () consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ , what is the average amount (in ₹) she has earned per shift in the past 100 shifts?
Correct answer
(A) 6,100
Solution
From the bar chart, we can determine the frequency distribution of the number of patients per shift ():
The average earning is the expected value of the earnings function:$E[\text{Earnings}] = E[1000(X - 0.2)] = 1000(E[X] - 0.2)$Substituting :$E[\text{Earnings}] = 1000(6.3 - 0.2) = 1000(6.1) = 6100$Thus, the average amount earned per shift is ₹ 6,100.
- : 20 shifts
- : 40 shifts
- : 30 shifts
- : 10 shifts
The average earning is the expected value of the earnings function:$E[\text{Earnings}] = E[1000(X - 0.2)] = 1000(E[X] - 0.2)$Substituting :$E[\text{Earnings}] = 1000(6.3 - 0.2) = 1000(6.1) = 6100$Thus, the average amount earned per shift is ₹ 6,100.
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