SAT Math Multiple Choice Question 382: Answer and Explanation

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Test Information

Question: 382

7.

Which of the following best describes the data represented by the figure shown?

  • A. Skewed to the left with two outliers
  • B. Skewed to the left with an outlier of 2
  • C. Skewed to the right with two outliers
  • D. Skewed to the right with an outlier of 2

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: A data set is skewed to the left if the tail (the part that gets smaller and smaller) is longer on the left, and it is skewed to the right if the tail is longer on the right. An outlier is a data point that is set apart from the rest of the data.

Getting to the Answer: The tail of the data shown in the graph is longer on the left side, so the data is skewed to the left. This means you can eliminate C and D. The first bar on the left side of the graph clearly represents outliers, since it is set apart from the rest of the data. To choose between (A) and B, recall that in a histogram, the heights of the bars tell you how many data points fit in the given category. The height of the bar is 2, so the data has two outliers, which means (A) is correct.

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