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4.

Match the stem and leaf plot below to the correct set of data.

1 ∣ 7 means 1.7
stem leaf
1 7 7 3
2 8 8 6
3 7 5



17, 17, 13, 28, 28, 26, 37, 35

7, 7, 3, 8, 8, 6, 7, 5

1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7

1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7, 3.7

1 answer

To match the stem-and-leaf plot to the correct set of data, let's first interpret the stem-and-leaf plot provided.

The plot:

stem   leaf 
1          7 7 3
2            8 8 6
3         7 5

Interpreting the plot:

  • The "stem" represents the whole number part, and the "leaf" represents the decimal part.
  • From the first row, "1 | 7 7 3" corresponds to:
    • 1.7
    • 1.7
    • 1.3
  • From the second row, "2 | 8 8 6" corresponds to:
    • 2.8
    • 2.8
    • 2.6
  • From the third row, "3 | 7 5" corresponds to:
    • 3.7
    • 3.5

Combining these values: We have:

  • 1.3
  • 1.7
  • 1.7
  • 2.6
  • 2.8
  • 2.8
  • 3.5
  • 3.7

Now, let's compare this to the sets of data provided:

  1. 17, 17, 13, 28, 28, 26, 37, 35 (not a match because values are not in decimal)
  2. 7, 7, 3, 8, 8, 6, 7, 5 (not a match, not decimal format)
  3. 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7 (this matches)
  4. 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7, 3.7 (this includes an extra 3.7, so it does not match)

Therefore, the correct match to the stem-and-leaf plot is:

3. 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7