GATE EE 2025 Set 1 — Question 8
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General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
Scores obtained by two students P and Q in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT?
| P | 22 | 89 | 50 | 45 | 78 | 60 | 39 |
| Q | 35 | 65 | 60 | 56 | 81 | 45 | 50 |
Correct answer
(B) Median score of P is same as the median score of Q.
Solution
First, let's calculate the required statistics for both students:Student P:
(A) Average P (54.71) < Average Q (56). This is TRUE.
(B) Median P (50) is same as Median Q (56). This is FALSE.
(C) Range P (67) > Range Q (46). This is TRUE.
(D) Median Q (56) and Average Q (56) are same. This is TRUE.The incorrect statement is (B).
- Sorted scores: 22, 39, 45, 50, 60, 78, 89
- Sum =
- Average =
- Median = 50 (the 4th value in the sorted list)
- Range (Max - Min) =
- Sorted scores: 35, 45, 50, 56, 60, 65, 81
- Sum =
- Average =
- Median = 56 (the 4th value in the sorted list)
- Range (Max - Min) =
(A) Average P (54.71) < Average Q (56). This is TRUE.
(B) Median P (50) is same as Median Q (56). This is FALSE.
(C) Range P (67) > Range Q (46). This is TRUE.
(D) Median Q (56) and Average Q (56) are same. This is TRUE.The incorrect statement is (B).
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