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# 4[.5a Box Whiskers

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### 4[.5a Box Whiskers

1. 1. Build a Box and Whiskers Plot Box and Whisker plots are related to median averages
2. 2. First: Line up your numbers 2 5 3 6 12 9 1 4 2 4
3. 3. Find the median <ul><li>Find the median of the top group. (Quadrant 1) </li></ul><ul><li>Find the median of the bottom group. (Quadrant 3) </li></ul><ul><li>Take note of the minimum and maximum values. </li></ul>2 5 3 6 9 1 4 2 4 12
4. 4. Build the plot <ul><li>The number spacing should be similar to the spacing in a number line </li></ul><ul><li>1 </li></ul><ul><li>2 </li></ul><ul><li>4 </li></ul><ul><li>6 </li></ul><ul><li>12 </li></ul>8 6 3 7 12 11 1 4 2 5 10 9
5. 5. Each number gets a bar above it. <ul><li>The box covers the middle three lines </li></ul>6 12 1 4 2
6. 6. Complete the Plot <ul><li>The whiskers extend out from the box. </li></ul><ul><li>The plot below shows an unbalanced shift to the left. </li></ul>6 12 1 4 2
7. 7. Try One <ul><li>12 13 14 15 16 17 18 19 20 </li></ul><ul><li>The above number line can be used as a pattern for the box and whiskers plot. </li></ul>14.8 12.2 20.3 18.7 16.4 15.7 17.2 15.9 18.9 16.6 16.3 15.1 19.1 13.3 16.4 12.5
8. 8. Find the min, max, median, and Q1 & Q3 values <ul><li>12 13 14 15 16 17 18 19 20 </li></ul><ul><li>The above number line can be used as a guide for the box and whiskers plot. </li></ul>14.8 12.2 20.3 18.7 16.4 15.7 17.2 15.9 18.9 16.6 16.3 15.1 19.1 13.3 16.4 12.5 (16.3+16.4)/2= 16.35 (14.8+15.1)/2= 14.95 (17.2+18.7)/2= 17.95
9. 9. Put the min, max, median, and Q1 & Q3 values on their places on a number line. <ul><li>12 13 14 15 16 17 18 19 20 </li></ul><ul><li>The above number line can be used as a guide for the box and whiskers plot. </li></ul>17.95 16.35 14.95 12.5 20.3