Once all of the data are displayed in the stem and leaf diagram it is simply a question of looking at the most frequently occurring value. By having the data arranged in an ordered list will make it easier to determine both the mode and median value.
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To find the modal group in a back-to-back stem-and-leaf diagram, you need to look for the group with the highest frequency on both sides of the diagram. This group represents the mode for the data set. The mode is the value that appears most frequently in the data. In a back-to-back stem-and-leaf diagram, the modal group will be the one with the highest frequency on both sides of the stem.
Once all of the data are displayed in the stem and leaf diagram it is simply a question of looking at the most frequentlyoccurring value.
Histogram
If you had a stem and leaf diagram like this for example 1/1,2,6 2/4,4,4,5,7,8,9 3/1,6 4,2 5/4,7 Key 1/1- 11 years old The mode would be the value on the "leaf" that appears most frequently so in this case it would be 24. However, the modal group would be the group from the "stem" that has the most values, so in this case it would focus on the 20's. You would write it from the number on the stem to the highest in the group, like- 20-29. You would write it from 20 even if there is nobody who is actually 20 years old, as there isn't in this case.
You would take all the numbers from the data and then divide by the number of numbers added. In a stem and leaf plot, the tens or hundreds, and so on are on the left and the ones are on the right.