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### Course: AP®︎/College Statistics>Unit 2

Lesson 2: Representing a quantitative variable with histograms and stem plots

# Reading stem and leaf plots

A stem and leaf plot displays data by breaking each data point into two parts: the "stem" and the "leaf." Each stem represents a range of values (e.g. if the stem is 2, the corresponding leaves might be data points in the 20s). Each leaf typically represents the last digit of a data point (e.g. if the leaf is 6 next to a stem of 2, it could represent a data point whose value is 26). Created by Sal Khan.

## Want to join the conversation?

• how do you read a three digit number on a stem and leaf plot
• Three Digit Numbers:

10 : 1, 2, 3, 4, 5, 6, 7, 8, 9,
11 : 3, 7
12 : 8, 9
13 : 1, 5
14 : 2, 4
15 : 0, 5, 8
• So to put this all in a nutshell, this is what it is?

7 | 1 = 71? I'm just asking, just for clarification!
• That's right for these examples. Sometimes you'll see other formats, such as 1|2 = 1.2, but they should have a "key" which tells you what format it is in.
• Hey everyone! I've seen questions where they ask the median..how would you do that? Please and thank you!
• Once you understand how to read a stem and leaf plot, you would sort all the data points from least to greatest. Then, you would find the middle number of all the data points. This is the median. A way I like to do this is by writing down all the data on a piece of paper and then crossing off one number from the left, then one from the right, then repeating until you only have one number left. If you are left with 2 numbers, find the average of the two numbers to find your median.
• Hi people of the world
• Wouldn't the answer of the coconut problem be 0?
• no, because there arent any digits in the second column, if it was zero ther'd be zero in that coulumn too
• on the first example with turtle, why are there two 16s and two 23s ?
are they representing different zoos?
• Yes, each number represents a zoo, so there are two different zoos with 16 turtles and two different zoos with 23 turtles.
• What would be the minimum data entry and the maximum data entry?
• I guess the minimum is 0 and there is no limit for maximum for 'stem and leaf' diagram.
• On the turtles equation: Since the question was asking how many zoo's have fewer than 46 turtles, why wasn't the 4 (which is 40 correct?) be included?
• Stem and leaf plots show for each category in the stem how many and which data points were measured that fall into this category.
In the turtles example the categories are number of turtles from 0 to 9, 10 to 19, 20 to 21 and so on.
If you want to add a data point to the plot, you'd look for the right place on the stem and add it on the right side as a leaf. For example to add 32, you'd go to category 3 (30 to 39 or numbers beginning with 3), then add a 2 to the right side.
An empty right side means that there are no data points in this category.
It does not mean, that there is a data point with a 0, like 40.

Sorry for the lengthy explanation.
In short: there is no 40 in the plot since adding a 40 would result in a 0 on the right to the "4" category. If a category has no elements, the right side is empty (= no leafs). See second example in the video for an example of 0 on the right side.
• What if the leaf unit is .01? and the chart has three columns.......
• This is only used for counting Whole numbers.
if you have fractions you would have to round them to the nearest whole number