This histogram shows the times, in minutes, required for 25 rats in an animal behavior experiment to successfully navigate a maze.For the data described by the above histogram, which of the following is a correct statement about the median? The median will be smaller than the mean. The median will be larger than the mean. The median and the mean will be about the same. The median and the range will be about the same.

Based on the given histogram, we can determine the median by finding the middle value of the data set. To do this, we divide the data into two equal halves. Since there are 25 rats in the experiment, the middle value will be the 13th value when the data is arranged in ascending order.

To determine if the median will be smaller than the mean, larger than the mean, about the same as the mean, or about the same as the range, we need to consider the shape of the histogram.

If the histogram is symmetric, with a bell-shaped curve, then the median will be approximately equal to the mean. This is because in a symmetric distribution, the middle value will be close to the average value.

However, if the histogram is skewed, with a longer tail on one side, then the median may not be equal to the mean. In this case, the median will be closer to the center of the distribution, while the mean will be influenced by the extreme values.

Without further information about the shape of the histogram, we cannot determine whether the median will be smaller than the mean, larger than the mean, or about the same as the mean. Similarly, we cannot determine if the median will be about the same as the range.

Therefore, the correct statement about the median cannot be determined based solely on the given histogram.