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QUESTION IMAGE

b. select a polygon representing the given data frequency distribution.

Question

b. select a polygon representing the given data frequency distribution.

Explanation:

To solve this, we analyze the frequency polygon's shape and data representation:

  1. Understand Frequency Polygons: A frequency polygon connects midpoints of class intervals (here, stress ratings) with their frequencies. The correct polygon should match the data’s frequency distribution (e.g., increasing then decreasing, or specific peaks/troughs).
  2. Analyze the Options: The highlighted (blue - boxed) polygon in the top - right likely matches the data’s frequency pattern (e.g., smooth increase then decrease, consistent with typical stress - rating distributions). Other polygons have irregular or mismatched patterns (e.g., sudden drops, inconsistent peaks).

Answer:

The polygon in the top - right (the one with the blue box around it) is the correct representation.