When the right half of a $histogram$ is a mirror image of the left half, the $histogram$ is

• A. $symmetric$
• B. $skewed$ to the left
• C. $bimodal$
• D. $skewed$ to the right

Answer: (A)

Verified step by step guidance

1. Understand the shape of the histogram: A histogram displays the frequency distribution of data, showing how data points are spread across different intervals.
2. Identify what it means for the right half to be a mirror image of the left half: This implies that the distribution is balanced around a central point, with both sides having similar shapes and frequencies.
3. Recall the definitions of the options: 'Symmetric' means both sides of the distribution are mirror images; 'skewed to the left' means the tail is longer on the left side; 'skewed to the right' means the tail is longer on the right side; 'bimodal' means there are two distinct peaks.
4. Match the description to the correct term: Since the right half mirrors the left half, the distribution is balanced and not skewed, so it is symmetric.
5. Conclude that the histogram described is symmetric because the left and right halves are mirror images of each other.