1 5 Stem Leaf Plot

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1 5 Stem Leaf Plot

  1. 1. Stem and Leaf Plotting An organized way to order data
  2. 2. How do you get from this… 3.5 3.3 7.1 5.4 5.3 5.5 6.1 7.8 2.8 5.1 6.6 6.7 6.7 8.0 1.9 2.2 7.3 5.1 2.5 2.2 3.3 4.9 3.2 5.6
  3. 3. To this? <ul><li>1 9 </li></ul><ul><li>2 2 5 2 8 </li></ul><ul><li>3 2 3 3 5 </li></ul><ul><li>4 9 </li></ul><ul><li>5 6 1 1 5 3 4 </li></ul><ul><li>6 7 7 6 1 </li></ul><ul><li>7 3 8 1 </li></ul><ul><li>8 0 </li></ul><ul><li> Key: 5|6 = 5.6 </li></ul>
  4. 4. A Stem and Leaf plot has a stem and leaves <ul><li>Stem Leaves </li></ul><ul><li>1 9 </li></ul><ul><li>2 2 5 2 8 </li></ul><ul><li>3 2 3 3 5 </li></ul><ul><li>4 9 </li></ul><ul><li>5 6 1 1 5 3 4 </li></ul><ul><li>6 7 7 6 1 </li></ul><ul><li>7 3 8 1 </li></ul><ul><li>8 0 </li></ul><ul><li>Key: 5|6 = 5.6 </li></ul>3.5 3.3 7.1 5.4 5.3 5.5 6.1 7.8 2.8 5.1 6.6 6.7 6.7 8.0 1.9 2.2 7.3 5.1 2.5 2.2 3.3 4.9 3.2 5.6
  5. 5. Then organize. Put each stem in order <ul><li>1 9 </li></ul><ul><li>2 2 2 5 8 </li></ul><ul><li>3 2 3 3 5 </li></ul><ul><li>4 9 </li></ul><ul><li>5 1 1 3 4 5 6 </li></ul><ul><li>6 1 6 7 7 </li></ul><ul><li>7 1 3 8 </li></ul><ul><li>8 0 </li></ul><ul><li> Key: 5|6 = 5.6 </li></ul>
  6. 6. How is this used? An organized list makes it easier to find modes and medians.
  7. 7. Find the median by counting <ul><li>1 9 </li></ul><ul><li>2 2 2 5 8 </li></ul><ul><li>3 2 3 3 5 </li></ul><ul><li>4 9 </li></ul><ul><li>5 1 1 3 4 5 6 </li></ul><ul><li>6 1 6 7 7 </li></ul><ul><li>7 1 3 8 </li></ul><ul><li>8 0 </li></ul><ul><li> Key: 5|6 = 5.6 </li></ul>
  8. 8. Find the mode or modes. <ul><li>1 9 </li></ul><ul><li>2 2 2 5 8 </li></ul><ul><li>3 2 3 3 5 </li></ul><ul><li>4 9 </li></ul><ul><li>5 1 1 3 4 5 6 </li></ul><ul><li>6 1 6 7 7 </li></ul><ul><li>7 1 3 8 </li></ul><ul><li>8 0 </li></ul><ul><li> Key: 5|6 = 5.6 </li></ul>
  9. 9. Find the Q1 and Q3 medians, if needed <ul><li>1 9 </li></ul><ul><li>2 2 2 5 8 </li></ul><ul><li>3 2 3 3 5 </li></ul><ul><li>4 9 </li></ul><ul><li>5 1 1 3 4 5 6 </li></ul><ul><li>6 1 6 7 7 </li></ul><ul><li>7 1 3 8 </li></ul><ul><li>8 0 </li></ul><ul><li> Key: 5|6 = 5.6 </li></ul>
  10. 10. Make a stem and leaf plot (26 items) 153 141 139 133 128 127 125 153 184 148 175 176 162 136 159 138 142 154 135 127 147 153 183 136 179 144
  11. 11. Organize. You can use two or more digits for the stem <ul><li>12 </li></ul><ul><li>13 </li></ul><ul><li>14 </li></ul><ul><li>15 </li></ul><ul><li>16 </li></ul><ul><li>17 </li></ul><ul><li>18 </li></ul><ul><li> Don’t forget -  Key: 15|6 = 156 </li></ul>
  12. 12. Step One – Done Now put leaves in order <ul><li>12 7 5 7 8 </li></ul><ul><li>13 6 5 8 6 3 9 </li></ul><ul><li>14 4 7 2 8 1 </li></ul><ul><li>15 3 4 9 3 3 </li></ul><ul><li>16 2 </li></ul><ul><li>17 9 6 5 </li></ul><ul><li>18 3 4 </li></ul><ul><li> Key: 15|6 = 156 </li></ul>
  13. 13. Ready for finding modes and medians <ul><li>12 5 7 7 8 </li></ul><ul><li>13 3 5 6 6 8 9 </li></ul><ul><li>14 1 2 4 7 8 </li></ul><ul><li>15 3 3 3 4 9 </li></ul><ul><li>16 2 </li></ul><ul><li>17 5 6 9 </li></ul><ul><li>18 3 4 </li></ul><ul><li> Key: 15|6 = 156 </li></ul>

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