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The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major U.S. airlines was:Min = 60, Q1 = 100, Median = 110, Q3 = 125, Max = 150Which of the following is true about this data? The lowest price is an outlier. The highest price is an outlier. The data is skewed left. The data is skewed right.

Question

The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major U.S. airlines was:Min = 60, Q1 = 100, Median = 110, Q3 = 125, Max = 150Which of the following is true about this data? The lowest price is an outlier. The highest price is an outlier. The data is skewed left. The data is skewed right.

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Solution 1

Based on the given five number summary, we can analyze the data as follows:

  1. The lowest price is 60, which is not significantly different from the other values in the dataset. Therefore, it is not considered an outlier.

  2. The highest price is 150, which is also not significantly different from the other values. Hence, it is not considered an outlier either.

  3. To determine if the data is skewed left or right, we can compare the median (110) with the quartiles (Q1 = 100 and Q3 = 125). Since the median is closer to Q3 than Q1, it suggests that the data is slightly skewed right.

Therefore, the correct statement about this data is: The data is skewed right.

This problem has been solved

Solution 2

Based on the given five number summary, we can analyze the data as follows:

  1. The lowest price is 60, which is not significantly different from the other values in the dataset. Therefore, it is not considered an outlier.

  2. The highest price is 150, which is also not significantly different from the other values. Hence, it is not considered an outlier either.

  3. To determine if the data is skewed left or right, we can compare the median (110) with the quartiles (Q1 = 100 and Q3 = 125). Since the median is closer to Q3 than Q1, it suggests that the data is slightly skewed right.

Therefore, the correct statement about this data is: The data is skewed right.

This problem has been solved

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