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Answers − Stem-and-leaf Diagram Median

1.  Following is a stem-and-leaf diagram, with the key
  2   |   1   2   3   4   8
3   |   0   6   7   8   8
4   |   1   4   4   5   5   6
    
  Key: 2 | 1 represents 21

  Find the median

  As there are 16 values, the median (midpoint) is between the 8th and 9th value in the stem-and-leaf diagram.
The 8th value is 37 and the 9th value is 38. The midpoint between 37 and 38 is 37.5

So the median is 37.5

2.  Following is a stem-and-leaf diagram, with the key
  3   |   2   5   6   7
4   |   0   1   4   6   7   7
5   |   0   2   3   9
6   |   0   0
    
  Key: 3 | 2 represents 32

  Find the median

  As there are 16 values, the median (midpoint) is between the 8th and 9th value in the stem-and-leaf diagram.
The 8th value is 46 and the 9th value is 47. The midpoint between 46 and 47 is 46.5

So the median is 46.5

3.  Following is a stem-and-leaf diagram, with the key
  1   |   2   7
2   |   0   2   3   4   6
3   |   2   4   5
4   |   4   5   8   9
    
  Key: 1 | 2 represents 12

  Find the median

  As there are 14 values, the median (midpoint) is between the 7th and 8th value in the stem-and-leaf diagram.
The 7th value is 26 and the 8th value is 32. The midpoint between 26 and 32 is 29

So the median is 29

4.  Following is a stem-and-leaf diagram, with the key
  2   |   1   2   6   7   8
3   |   1   8
4   |   0   1   3   7
5   |   0   2   9
    
  Key: 2 | 1 represents 21

   Find the median

  As there are 14 values, the median (midpoint) is between the 7th and 8th value in the stem-and-leaf diagram.
The 7th value is 38 and the 8th value is 40. The midpoint between 38 and 40 is 39

So the median is 39

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