Statistics

Statistics

Let’s say you have the weights of 20 individuals, you need an easy way to re present the data.

Given the following weights (in pounds):

110, 234, 101, 100, 245, 198, 173, 165, 210, 205, 166, 167, 188, 182, 183, 185, 145, 122, 222, 155.

Our first step is to organize the data based on the power of 10 to spate the data into a stem and leaf portion.

The 1st step is to organize the data from least to greatest:

100, 101, 110, 122, 145, 155, 165, 166, 167, 173, 182, 183, 188, 198, 205, 210, 234, 245

The 2nd step is to divide the data into a stem and a leaf. Our leaf should be a single value, which is the last digit in a number. If that does not make sense, a good way to visualize this is to think of your numbers as having two parts; for example, 122: Our stemwould be 12 and our leaf would be 2. There are two main rules to remember: 1) the leaf can only be a single number, which is the last digit; and 2) every number must be represented. Let us organize our data set. A normal stem-and-leaf plot will only have a stem and a leaf portion. But for visualization, we have added a 3rd column for the original value.

Original Value

100

101

110

122

145

155

165

166

167

173

182

183

188

198

205

210

234

245

Stem 10 10 11 12 14 15 16 16 16 17 18 18 18 19 20 21 23 24 Leaf 0 1 0 2 5 5 5 6 7 3 2 3 8 8 5 0 4 5

Above, we broke down the data set to represent the stem and leaf portions. Now, we can combine like stems and finish a completed stem-and-leaf plot.

Stem

Leaf

10 0 1 11 0 12 2 13

14 5 15 5 16 5 6 7 17 3 18 2 3 8

19 8 20 5 21 0 22 23 4 24 5

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