Comprehension

The table below gives 45 students, classified according to their scores obtained in an examination.
They are lined up according to their scores.

Question: 1

The score of the student at which position is taken as the median ?

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For grouped data, we typically find the median class using N/2. However, when the question asks for the "position" of the student, it refers to their rank in the ordered list. For an odd total N, the middle rank is always (N+1)/2.

Updated On: Mar 16, 2026

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Question: 2

According to the assumptions used to calculate the median, what is the score of the 20th student ?

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This type of question applies the logic of the median formula to find the value at any specific rank. Always start by creating a cumulative frequency table to locate the correct class for the given rank. Be aware of potential typos in exam questions.

Updated On: Mar 16, 2026

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Question: 3

Calculate the median score.

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When calculating the median for grouped data, the first step is always to find N/2. Then, build the cumulative frequency column to find the median class. Pay close attention to using the cumulative frequency of the *preceding* class in the formula. Note that some curricula use (N+1)/(2) or its integer equivalent for the position, which can lead to slightly different answers. It's good to know the specific convention for your exam board.

Updated On: Mar 16, 2026

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