The scores for a math test are shown below, ordered from smallest to largest.

| 60 | 60 | 61 | 63 | 64 |
|----|----|----|----|----|
| 64 | 65 | 67 | 69 | 69 |
| 71 | 72 | 75 | 75 | 77 |
| 78 | 79 | 79 | 82 | 88 |
| 88 | 91 | 91 | 93 | 94 |
| 95 | 98 | 99 | 99 | 99 |

Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (e.g., 1,1,2,3).

| Stems | Leaves |
|-------|----------------------|
| 6 | 0,0,1,3,4,4,5,7,9,9 |
| 7 | 1,2,5,5,7,8,9,9 |
| 8 | 2,8,8 |
| 9 | 1,1,3,4,5,8,9,9,9 |



Answer :

Let's create a stem and leaf plot using the given scores. A stem and leaf plot breaks each score into two parts: the stem (all but the last digit) and the leaf (the last digit).

Here are the detailed steps:

1. Separate each score into a stem and a leaf.
- Stems are the tens digits (e.g., for 60, the stem is 6).
- Leaves are the units digits (e.g., for 60, the leaf is 0).

2. List all the scores and sort them if not already sorted:
```
60, 60, 61, 63, 64, 64, 65, 67, 69, 69,
71, 72, 75, 75, 77, 78, 79, 79, 82, 88,
88, 91, 91, 93, 94, 95, 98, 99, 99, 99
```

3. Create the stem and leaf plot:
- For each stem, list the corresponding leaves in ascending order and separate them by commas.

Here is the completed stem and leaf plot:

\begin{tabular}{|l|l|}
\hline Stems & \multicolumn{1}{|c|}{ Leaves } \\
\hline 6 & 0,0,1,3,4,4,5,7,9,9 \\
\hline 7 & 1,2,5,5,7,8,9,9 \\
\hline 8 & 2,8,8 \\
\hline 9 & 1,1,3,4,5,8,9,9,9 \\
\hline
\end{tabular}

Explanation:
- The stem '6' corresponds to the scores 60, 60, 61, 63, 64, 64, 65, 67, 69, 69. The leaves are 0, 0, 1, 3, 4, 4, 5, 7, 9, 9.
- The stem '7' corresponds to the scores 71, 72, 75, 75, 77, 78, 79, 79. The leaves are 1, 2, 5, 5, 7, 8, 9, 9.
- The stem '8' corresponds to the scores 82, 88, 88. The leaves are 2, 8, 8.
- The stem '9' corresponds to the scores 91, 91, 93, 94, 95, 98, 99, 99, 99. The leaves are 1, 1, 3, 4, 5, 8, 9, 9, 9.

Thus, the table is filled out accordingly.

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