which box and whisker plot matches the data 4,3,4,5,2,5,6,12,8,9,7
Unfortunately, as an AI language model, I cannot create images but I can explain how to interpret a box and whisker plot for this data. Here are the steps to create and interpret a box and whisker plot:
1. Arrange the data in order from smallest to largest: 2, 3, 4, 4, 5, 5, 6, 7, 8, 9, 12.
2. Find the median (middle value) of the data set, which is 5.
3. Divide the data set into two halves: values less than or equal to the median (2, 3, 4, 4, 5) and values greater than or equal to the median (5, 6, 7, 8, 9, 12).
4. Find the median of each half of the data: 4 for the lower half and 8 for the upper half.
5. Draw a number line and mark the minimum value (2) and maximum value (12).
6. Draw a box from the lower quartile (Q1) to the upper quartile (Q3). Q1 is the median of the lower half of the data (4) and Q3 is the median of the upper half of the data (8).
7. Draw a vertical line (whisker) from the box to the minimum value (2) and maximum value (12).
Based on this process, the box and whisker plot for the data set is as follows:
```
2 3 4 5 6 7 8 9 12
+-----+-----+-----+-----+-----+-----+-----+-----+
|--------------|
```