We are asked to determine a situation where stems and leaf plot display would not be the best.
Let's say that we need to measure the room temperature each hour in a given space during one day and our measuring device is unable to measure decimal temperature. Now let's imagine that the data that is produced is in the range between 30 and 35 degrees Celcius. For this data set, a stem and leaf display would not be the best because all the data has the same stem of 3 and we are not able to differentiate between the different values of temperature.