Question

Find the range of the given stem and leaf:

stem = 5,6,8,9 and the leaf = 59,38,0268,15

Answer 1

To find the range of the given stem and leaf plot, we first need to interpret the values represented by the stems and leaves.

The stem is made up of the digits in the tens place, and the leaf represents the digits in the units place.

Here, we have:
- Stem 5 corresponds to leaves 9, which gives us the value 59.
- Stem 6 corresponds to leaves 3 and 8, which gives us the values 63 and 68.
- Stem 8 corresponds to leaves 0, 2, 6, which gives us the values 80, 82, and 86.
- Stem 9 corresponds to leaf 1, which gives us the value 91.

So, the complete list of numbers derived from the stem and leaf is:
- 59
- 63
- 68
- 80
- 82
- 86
- 91

Now, we can determine the range by identifying the minimum and maximum values in this list.

- Minimum value: 59
- Maximum value: 91

The range is calculated as follows:

\[
\text{Range} = \text{Maximum value} - \text{Minimum value}
\]
\[
\text{Range} = 91 - 59 = 32
\]

So, the range of the given stem and leaf plot is **32**.