Questions: Which of the following histograms shows a distribution that is skewed to the left? Select one answer. A 3 4 5 6 7 8 9 10 11 12 B 3 4 5 6 7 8 9 10 11 12 C 3 4 5 6 7 8 9 10 11 12 D 3 4 5 6 7 8 9 10 11 12

Which of the following histograms shows a distribution that is skewed to the left? Select one answer. A 3 4 5 6 7 8 9 10 11 12 B 3 4 5 6 7 8 9 10 11 12 C 3 4 5 6 7 8 9 10 11 12 D 3 4 5 6 7 8 9 10 11 12
Transcript text: Which of the following histograms shows a distribution that is skewed to the left? Select one answer. A 3 4 5 6 7 8 9 10 11 12 B 3 4 5 6 7 8 9 10 11 12 C 3 4 5 6 7 8 9 10 11 12 D 3 4 5 6 7 8 9 10 11 12
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Solution

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Solution Steps

Step 1: Understand the Question

The question asks which histogram shows a distribution that is skewed to the left.

Step 2: Define Skewness

A distribution is skewed to the left (negatively skewed) if the tail on the left side of the distribution is longer or fatter than the right side.

Step 3: Analyze Each Histogram
  • Histogram A: The tail is on the right side, indicating it is skewed to the right.
  • Histogram B: The distribution is symmetric, with no skewness.
  • Histogram C: The tail is on the right side, indicating it is skewed to the right.
  • Histogram D: The tail is on the left side, indicating it is skewed to the left.

Final Answer

The histogram that shows a distribution that is skewed to the left is D.

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