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Question

Which of the following is the median of the heights (in cm) of following 9 students ?
155, 160, 145, 149, 150, 147, 152, 144, 148

This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
149

Finding the Median Height

The median is the middle value in a dataset that has been ordered from least to greatest. To find the median height of the 9 students, we first need to arrange the given heights in ascending order.

Ordering Student Heights

The heights (in cm) are: 155, 160, 145, 149, 150, 147, 152, 144, 148.

Arranging these heights in ascending order:

  1. 144
  2. 145
  3. 147
  4. 148
  5. 149
  6. 150
  7. 152
  8. 155
  9. 160

Calculating the Median Position

There are $n=9$ students. Since $n$ is an odd number, the median is the value at the middle position.

The position of the median is calculated using the formula: $\frac{n+1}{2}$

Position = $\frac{9+1}{2} = \frac{10}{2} = 5$.

This means the median is the 5th value in the ordered list.

Identifying the Median Value

Looking at the ordered list of heights:

144, 145, 147, 148, 149, 150, 152, 155, 160

The 5th value is 149.

Therefore, the median height of the 9 students is 149 cm.

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