The table below gives carbon dioxide (CO_2) emissions per person for countries w

Question

The table below gives carbon dioxide (CO_2) emissions per person for countries with population at least 20 million. The histogram and box plot shows that the distribution is strongly skewed to the right. The United States and several other countries appear to be high outliers. The 5 number summary for this data set is as follows: Minimum = 0, Q1 = 0.75 metric tons/person. Median = 3.2 metric tons/person, Q3 = 7.8 metric tons/person and maximum = 19.9 metric tons/person. Which country (or countries) is/are outliers according to the 1.5 times IQR rule? The United States and Australia are outliers. The United States and Canada are outliers. The United States, Canada and Australia are outliers. Only the United States qualifies as an outlier. For an exam given to a class, the students' scores were bell-shaped and ranged from 35 to 98, with a mean of 74. Which of the following is the most realistic value for the standard deviation? -10 0 3 12 63

Explanation / Answer

IQR =Q3-Q1 =7.8-0.75 = 7.05

1.5* IQR = 1.5*7.05 =10.575

The fence are

Lower= Q1 - 1.5*IQR = 0.75- 10.575 = -9.875

Upper = Q3+1.5IQR =7.8+10.575 = 18.375

The values outside the fence are outliers, i.e 19 for US

Answer: Only the Uniited states qualifies as an outlier

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