Scores obtained by two students P and Q in seven courses are given in the…
2025
Scores obtained by two students P and Q in seven courses are given in the table below.
P | 22 | 89 | 50 | 45 | 78 | 60 | 39 |
Q | 35 | 65 | 60 | 56 | 81 | 45 | 50 |
Based on the information given in the table, which one of the following statements is INCORRECT?
Answer: B. Median score of P is same as the median score of Q. — P has mean \(\frac{383}{7}\approx54.71\), median 50, and range 89 − 22 = 67. Q has mean \(\frac{392}{7}=56\), median 56, and range 81 − 35 = 46. Thus, the…
- A.
Average score of P is less than the average score of Q.
- B.
Median score of P is same as the median score of Q.
- C.
Difference between the maximum and minimum scores of P is greater than the difference between the maximum and minimum scores of Q.
- D.
Median score and the average score of Q are same.
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Correct answer: B
P has mean \(\frac{383}{7}\approx54.71\), median 50, and range 89 − 22 = 67. Q has mean \(\frac{392}{7}=56\), median 56, and range 81 − 35 = 46. Thus, the medians are unequal; the other three stated relationships hold.