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\( X_{i}: \) El numero de letras que componen cada palabra \( X_{1}=3 ; X_{2}=3 ; X_{3}=12 ; X_{4}=3 ; X_{5}=5 ; X_{6}=2 ; X_{7}=5 ; X_{8}=8 ; X_{9}=2 ; X_{10}=9 ; X_{11}=12 ; X_{12}=2 \) \( X_{13}=5 ; X_{14}=3 ; X_{15}=3 ; X_{16}=2 ; X_{17}=8 ; X_{18}=2 ; X_{19}=11 ; X_{20}=1 ; X_{21}=2 ; X_{22}=9 \) \( X_{23}=8 ; X_{24}=1 ; X_{25}=11 ; X_{26}=4 ; X_{27}=3 ; X_{28}=2 ; X_{29}=7 ; X_{30}=2 ; X_{31}=7 ; X_{32}=9 \) \( X_{33}=1 ; X_{34}=5 ; X_{35}=2 ; X_{36}=11 ; X_{37}=2 ; X_{38}=8 ; X_{39}=4 ; X_{40}=8 ; X_{41}=8 ; X_{42}=8 \) \( X_{43}=9 ; X_{44}=2 ; X_{45}=11 ; X_{46}=5 ; X_{47}=4 ; X_{48}=9 ; X_{49}=1 ; X_{50}=9 \)

Ask by Vega George. in Colombia
Nov 01,2024

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Para analizar la distribución del número de letras que componen cada palabra, se calculan estadísticas descriptivas como la media, la mediana y la moda. Los valores de \( X_i \) van desde 1 hasta 12, con diferentes frequencies. La media de los valores de \( X_i \) es 5.

Solución

Para analizar la distribución del número de letras que componen cada palabra, primero podemos organizar los datos y calcular algunas estadísticas descriptivas, como la media, la mediana y la moda. ### Datos Los valores de \( X_i \) son: - \( 3, 3, 12, 3, 5, 2, 5, 8, 2, 9, 12, 2, 5, 3, 3, 2, 8, 2, 11, 1, 2, 9, 8, 1, 11, 4, 3, 2, 7, 2, 7, 9, 1, 5, 2, 11, 2, 8, 4, 8, 8, 8, 9, 2, 11, 5, 4, 9, 1, 9 \) ### Análisis 1. **Frecuencia de cada longitud de palabra**: - 1 letra: 4 veces - 2 letras: 10 veces - 3 letras: 8 veces - 4 letras: 4 veces - 5 letras: 6 veces - 7 letras: 4 veces - 8 letras: 7 veces - 9 letras: 6 veces - 10 letras: 0 veces - 11 letras: 5 veces - 12 letras: 2 veces 2. **Media**: \[ \text{Media} = \frac{\sum X_i}{n} = \frac{3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9}{50} \] \[ = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 + 11 + 2 + 8 + 4 + 8 + 8 + 8 + 9 + 2 + 11 + 5 + 4 + 9 + 1 + 9 }{50} = \frac{ 3 + 3 + 12 + 3 + 5 + 2 + 5 + 8 + 2 + 9 + 12 + 2 + 5 + 3 + 3 + 2 + 8 + 2 + 11 + 1 + 2 + 9 + 8 + 1 + 11 + 4 + 3 + 2 + 7 + 2 + 7 + 9 + 1 + 5 + 2 +

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¿Sabías que el conteo de letras en palabras ha sido utilizado durante siglos para jugar con los idiomas? A finales del siglo XIX, el logocentrismo —la idea de que las palabras en sí mismas pueden tener un valor y significado trascendental— llevó a la creación de poemas y novelas experimentalmente variadas en las que los autores jugaban con la longitud de las palabras, convirtiendo el simple acto de contar letras en una forma de arte literario. En el día a día, contar letras puede ser más que un simple ejercicio; es esencial en redacción y programación, ya que muchas técnicas de SEO (optimización para motores de búsqueda) se basan en el uso de palabras clave de longitud específica. Por ejemplo, los titulares impactantes suelen tener entre 6 y 12 palabras, maximizando así el interés sin perder la atención del lector. ¡Así que la próxima vez que escribas algo, recuerda que la longitud de tus palabras puede hacer una gran diferencia!

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