Which summary statistics would you report to summarize the center and variation of the above histogram? Explain why?

To summarize the center and variation of a histogram, you would typically report the mean and standard deviation.

1. Mean: The mean, or average, is a measure of central tendency, which gives you a rough idea of the center of your data. It's calculated by adding up all the values and dividing by the number of values.

2. Standard Deviation: The standard deviation is a measure of variation or dispersion in your data. It tells you, on average, how far each value in your data set is from the mean. A low standard deviation means that most of the numbers are close to the average, while a high standard deviation means that the numbers are more spread out.

These two statistics together can give you a good idea of the overall shape of the data represented in the histogram. However, depending on the shape of the histogram, you might also want to report other statistics. For example, if the histogram is not symmetrical, the median (the middle value) and the interquartile range (the range of the middle 50% of the data) might be more appropriate measures of center and variation, respectively.