Friday, June 26, 2009

frequency table to dot plot and to stem and leaf plot

Here is our frequency table for heights in inches.

_x____f(x)
60_____3
61_____1
62_____2
63_____2
64_____1
65_____2
66_____8
68_____2
69_____3
70_____2
71_____3
72_____2
74_____1
76_____1
77_____1
78_____1

Here is a dot plot using this information.
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * * * * * * *
* * * * * * * * * * * * *

* * * * * * * * * * * * * * * * * * *
_____________________________________
6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7
0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8

Here is a stem and leaf, with just two stems, 6 and 7.
6 | 000122334556666666688999
7 | 00111224678

We can make a stem and leaf where each of the stems is split into high and low, 60 to 64, 65 to 69, 70 to 74 and 75 to 79.
6 | 000122334
6 | 556666666688999
7 | 00111224
7 | 678

The idea is that the stem and leaf gives the shape of the data. It's okay to have the stem values go from low to high or high to low, as long as the values are consistent.

7 | 00111224678
6 | 000122334556666666688999

Or if we split the decades, we get this.

7 | 678
7 | 00111224
6 | 556666666688999
6 | 000122334

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