MCAT Math Question 36: Answer and Explanation

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Test Information

Question: 36

6. Are there any outliers on the following box plot?

  • A. Yes; 1575 is an outlier.
  • B. Yes; 2600 is an outlier.
  • C. Yes; both 1575 and 2600 are outliers.
  • D. No; there are no outliers.

Correct Answer: C

Explanation:

Outliers can be determined with respect to the interquartile range, Q3 ? Q1. The interquartile range for this box plot is 2280 ? 2075, or 205. Values that are 1.5 × IQR below Q1 or above Q3 are considered outliers. 2075 ? 1.5 × 205 is approximately 2075 ? 300, or 1775 (actual = 1767.5). Therefore, 1575 is an outlier. 2280 +1.5 × 205 is approximately 2580 (actual = 2587.5). Therefore, 2600 is also an outlier.

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