each histogram represents a set of data with a median of 29.5. which set of data most likely has a mean that is closest to 29.5?

See the attached figure.

Step-by-step explanation:

There are some tips for connecting the histogram with the mean and median.

1) If the histogram is skewed right, the mean is greater than the median.

2) If the histogram is close to symmetric, then the mean and median are close to each other.

3) If the histogram is skewed left, the mean is less than the median.

So, according to the given information the median = 29.5 and the mean is closest to 29.5.

∴ The histogram is close to symmetric.

so, The set of data that most likely has a mean that is closest to 29.5 is as shown in the attached figure.