Question
Download Solution PDFIn a class of 15 students, 5 fail in a test. Marks of remaining 10 students are 9, 6, 8, 7, 8, 9, 5, 6, 7 and 4. The median of marks of all 15 students is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFive students failed the test. Their scores cannot be derived. But we can assume that one or more students might get the same marks.
Let's denote the test scores received by the failed students as F, where F = 0, 1, 2, 3. As the score of the students who passed the test starts from 4, F must be less than 4.
Students who passed the test have scored 9, 6, 8, 7, 8, 9, 5, 6, 7 and 4.
Arranging their scores in ascending order, we have: F, F, F, F, F, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9
n = total number of students = 15, an odd number.
The median in the series would be \((n + 1) \over2\)th term = (15 + 1) / 2 = 16 / 2 = 8th number.
The 8th number in the series is 6.
Last updated on Jul 12, 2025
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