Why can the mode usually not be worked out for a continuous data set?

1. The mode is the value that occurs most often in the data set. 2. Finding it means counting how many times each value appears. 3. Continuous values can lie anywhere on the real line rather than on set steps. 4. Any particular value will therefore almost never repeat in a continuous data set. 5. Every value then has a frequency of one and no value stands out as the mode. 6. Grouping the data into ranges is the usual way around this problem. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 10: Statistics_