Here are several histogram patterns along with their associated arithmetic means:

Symmetric unimodal – the histogram is symmetric, so the mean is exactly in its center.

Skewed left unimodal – the mean is shifted right of the center. This is because there are more elements on the right side of the histogram.

Symmetric bimodal – the mean is near or in the center of this histogram. Both sides of the mean have approximately the same number of values, and both are more or less symmetrically distributed.

Non-symmetric bimodal – there are two peaks in this histogram, but the left is taller than the right. Therefore, the mean is shifted to the left.