Which of the following histograms is approximately symmetric?

• A. A histogram with a long tail to the right and most data concentrated on the left
• B. A histogram with multiple peaks of varying heights and no clear center
• C. A histogram where the left and right sides are mirror images of each other around the center
• D. A histogram with a long tail to the left and most data concentrated on the right

Answer: (C)

Verified step by step guidance

1. Understand the concept of symmetry in histograms: A histogram is approximately symmetric if the left and right sides are mirror images of each other around the center point.
2. Identify the shape of the histogram based on the description: A long tail to the right indicates right skewness, and a long tail to the left indicates left skewness, both of which are not symmetric.
3. Recognize that multiple peaks of varying heights with no clear center suggest a multimodal distribution, which is generally not symmetric.
4. Focus on the histogram described as having left and right sides that are mirror images around the center, which matches the definition of an approximately symmetric histogram.
5. Conclude that the histogram with left and right sides as mirror images around the center is the one that is approximately symmetric.