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

1 ∣ 6 means 1.6



1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6, 3.7

6, 5, 5, 1, 1, 1, 1, 1, 1, 6, 6, 6, 5, 5, 5

15, 15, 16, 21, 21, 21, 35, 36

1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6

1 answer

To match the stem and leaf plot with the correct set of data, we first need to interpret the stem and leaf plot you provided:

  • The stem is the whole number part, and the leaf is the decimal part.
  • The notation "1 ∣ 6" means the value is 1.6.
  • Therefore, if we summarize what the stem and leaf plot would show, we have:
1 | 5 5 6 (which corresponds to 1.5, 1.5, 1.6)
2 | 1 1 1 (which corresponds to 2.1, 2.1, 2.1)
3 | 5 6 7 (which corresponds to 3.5, 3.6, 3.7)

Now, let's look through the sets of data provided:

  1. Set: 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6, 3.7
    This matches perfectly with our interpretation of the stem and leaf plot.

  2. Set: 6, 5, 5, 1, 1, 1, 1, 1, 1, 6, 6, 6, 5, 5, 5
    This does not correspond to any stem and leaf structure that matches our plot.

  3. Set: 15, 15, 16, 21, 21, 21, 35, 36
    This does not correspond either since it represents whole numbers and does not align with the decimal places; it seems to be out of the context of the stem and leaf format we are analyzing.

  4. Set: 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6
    This is similar to the first set but is missing the value 3.7.

The correct match from the given options is:

1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6, 3.7.