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Question

Find the median of all positive factors of 48.

This question was previously asked in
RRB NTPC 2015 CBT 1 Question Paper PDF (2-Apr-2016) (Shift 3)
The correct answer is

7

7 is correct.

The median of an ordered list with an even number of terms is the mean of the two middle terms.

Write 48 as \(2^4 \times 3\); it has \((4+1)(1+1) = 10\) positive factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

The 5th and 6th terms are 6 and 8, so the median is \(\dfrac{6 + 8}{2} = 7\).

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