What term describes the highest score minus the lowest score in a distribution plus one?

The term that describes the highest score minus the lowest score in a distribution plus one is the Inclusive Range. This concept takes into account both the highest and lowest values in a dataset, which is essential for understanding the full extent of the data. By adding one, it includes both endpoints of the range, providing a more complete measure of the spread of data points. This can be particularly important in qualitative analysis where the count of unique values matters, such as in certain survey responses or categorical data.

Variance and Standard Deviation, while related to the spread of data, are statistical measures that focus on the average distance of each data point from the mean. They do not directly provide a simple measure of the total range of the data. The Interquartile Range, on the other hand, measures the spread of the middle 50% of data points by subtracting the first quartile from the third quartile, but it does not consider the highest and lowest scores in the same way as the Inclusive Range does. Therefore, the Inclusive Range accurately captures the broadest span of the dataset by evaluating both extremes, making it the correct answer.