Pregunta
A data set consist of the following 6 values:
The range is 6 .
The median is 5 .
The lower quartile is 4 .
The interquartile range is 3 .
Given that
The range is 6 .
The median is 5 .
The lower quartile is 4 .
The interquartile range is 3 .
Given that
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Solución
¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.
Descubrir Respondido por UpStudy AI y revisado por un tutor profesional
Como
The Deep Dive
To solve for
- Range is 6: This means that
. - Median is 5: With 6 values, the median will be the average of the 3rd and 4th values when they are arranged in order. Hence, the 3rd and 4th values must average to 5.
- Lower quartile (Q1) is 4: This indicates that the first half of the data (the lower half) must have values such that the median of these values is 4, meaning the 2nd value is 4.
- Interquartile range (IQR) is 3: IQR is calculated as the difference between Q3 (the upper quartile) and Q1. Since Q1 is 4, Q3 must be 7 (7 - 4 = 3).
Now let’s outline the values:
- From Q1, we have the 2nd value as 4.
- The 3rd and 4th values must average to 5, so we can have either (5, 5) or (4 and 6). To maximize our use of the range and adhere to increasing order, we can use the values around 5: let’s assume 5 and 5 as candidates for now.
- Further, since
, and assuming is one of the higher values, we could determine that this influences extremes.
Putting these points together, we can conclude:
- The arrangement could tentatively be
. - If we replace
with , then let’s say . This leads to .
Thus, the values to satisfy these conditions might be
Confirming:
- The ordered set becomes
. - The range:
✔ - The median:
, adjustments needed.
Instead, let’s choose
- The arrangement:
Now range:✔
Final values:
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
