Pregunta
5. The weights (in kg ) of 8 children are \( 13.4,10.6,12.7,17.2,14.3,15,16.5,9.8 \). Find the median weight.
Ask by Norton Wilson. in India
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The median weight is 13.85 kg.
Solución
To find the median weight of the 8 children, follow these steps:
1. **List the Weights:**
\[
13.4,\ 10.6,\ 12.7,\ 17.2,\ 14.3,\ 15,\ 16.5,\ 9.8 \text{ kg}
\]
2. **Arrange the Weights in Ascending Order:**
\[
9.8,\ 10.6,\ 12.7,\ 13.4,\ 14.3,\ 15,\ 16.5,\ 17.2 \text{ kg}
\]
3. **Determine the Median:**
- Since there are **8** data points (an even number), the median is the average of the 4th and 5th values.
- **4th value:** 13.4 kg
- **5th value:** 14.3 kg
4. **Calculate the Median:**
\[
\text{Median} = \frac{13.4\ \text{kg} + 14.3\ \text{kg}}{2} = \frac{27.7\ \text{kg}}{2} = 13.85\ \text{kg}
\]
**Answer:** The median weight is 13.85 kg.
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To find the median weight, first, you need to arrange the weights in ascending order: \( 9.8, 10.6, 12.7, 13.4, 14.3, 15, 16.5, 17.2 \). Since there are 8 values (an even number), the median will be the average of the two middle values. The two middle values are \( 13.4 \) and \( 14.3 \). Calculating the median: \[ \text{Median} = \frac{13.4 + 14.3}{2} = \frac{27.7}{2} = 13.85 \text{ kg} \] So, the median weight of the children is \( 13.85 \) kg.
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
