Questions: Según el gráfico y los datos presentados la compañía que presenta el Rango intercuartílico (RIC) con menor variabilidad es (A) Sprint (B) T-Mobile (C) No se puede determinar (D) Verizon

Según el gráfico y los datos presentados la compañía que presenta el Rango intercuartílico (RIC) con menor variabilidad es (A) Sprint (B) T-Mobile (C) No se puede determinar (D) Verizon
Transcript text: Según el gráfico y los datos presentados la compañía que presenta el Rango intercuartílico (RIC) con menor variabilidad es (A) Sprint (B) T-Mobile (C) No se puede determinar (D) Verizon
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem involves analyzing a boxplot that shows customer satisfaction ratings for four cellular services: AT&T, Sprint, T-Mobile, and Verizon. The question asks which company has the smallest interquartile range (IQR), indicating the least variability in customer satisfaction.

Step 2: Identify the IQR for Each Company

The IQR is the range between the first quartile (Q1) and the third quartile (Q3) in a boxplot. We need to identify these values for each company from the boxplot.

  • AT&T: Q1 ≈ 69, Q3 ≈ 75
  • Sprint: Q1 ≈ 63, Q3 ≈ 70
  • T-Mobile: Q1 ≈ 68, Q3 ≈ 74.75
  • Verizon: Q1 ≈ 71.25, Q3 ≈ 76
Step 3: Calculate the IQR for Each Company

Calculate the IQR for each company by subtracting Q1 from Q3.

  • AT&T: IQR = 75 - 69 = 6
  • Sprint: IQR = 70 - 63 = 7
  • T-Mobile: IQR = 74.75 - 68 = 6.75
  • Verizon: IQR = 76 - 71.25 = 4.75

Final Answer

The company with the smallest IQR, indicating the least variability in customer satisfaction, is Verizon (Option D).

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