Question
The heights (in cm ) of 9 students of a class are \[ 148,144,152,155,160,147,150,149,145 \text {. } \] Find the median height.
Ask by Reid Grant. in India
Jan 23,2025
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Tutor-Verified Answer
Answer
The median height is 149 cm.
Solution
To find the **median** height of the 9 students, follow these steps:
1. **List the heights:**
\[ 148, 144, 152, 155, 160, 147, 150, 149, 145 \]
2. **Sort the heights in ascending order:**
\[ 144, 145, 147, 148, 149, 150, 152, 155, 160 \]
3. **Identify the median:**
- Since there are **9** data points (an odd number), the median is the **middle** value.
- The middle position is the **5th** value in the sorted list.
4. **Median height:**
\[ \boxed{149 \text{ cm}} \]
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Beyond the Answer
To find the median height, we first need to arrange the heights in ascending order: \[ 144, 145, 147, 148, 149, 150, 152, 155, 160. \] Since there are 9 heights (an odd number), the median will be the middle value, which is the 5th height in this ordered list: **Median height = 149 cm.**