Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The median height is 149 cm.
Solución
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:**
\[ \boxed{149 \text{ cm}} \]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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.**
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