Question

a survey taken in a large statistics class contained the question: \whats the fastest you have driven a car (in miles per hour)?\ the five - number summary for the 87 males surveyed is: min = 55, q1 = 95, median = 110, q3 = 120, max = 155. is the largest observation in this data set an outlier? options: yes, no.

Explanation:

Step1: Calculate IQR

IQR (Interquartile Range) is calculated as \( Q3 - Q1 \). Given \( Q1 = 95 \) and \( Q3 = 120 \), so \( IQR = 120 - 95 = 25 \).

Step2: Find Upper Fence

Upper fence for outliers is calculated as \( Q3 + 1.5 \times IQR \). Substitute \( Q3 = 120 \) and \( IQR = 25 \), we get \( 120 + 1.5\times25 = 120 + 37.5 = 157.5 \).

Step3: Compare Max with Upper Fence

The maximum value (Max) is 155. Since \( 155 < 157.5 \), the largest observation is not an outlier.

Answer:

No