The following data show the number of laps run by each participant in a marathon. $\begin{array} { l l l l l l l l l l l l } 46 & 65 & 55 & 43 & 51 & 48 & 57 & 30 & 43 & 49 & 32 & 56 \end{array}$
Which of these choices display the correct stemplot?

Question

Quizplus · Accepted Answer

A stemplot shows the data by dividing each data point into a stem (the leftmost digits) and a leaf (the rightmost digit). To create a stemplot for this data, we first list the stems in a column from least to greatest. Then, for each leaf in the data set, we write the leaf to the right of the corresponding stem.

Using choice A, the stemplot would be:
```
3 | 0
4 | 3 6
5 | 1 5 6 7
6 | 5
```

However, this stemplot doesn't accurately represent the data. Notice that there are two 3s in the data set, but only one appears in the plot.

Using choice B, the stemplot would be:
```
3 | 0 2
4 | 3
5 | 1 5 6 7 9
6 | 5
```

This stemplot accurately represents the data because it includes both 3s in the data set and correctly shows the distribution of the data. Therefore, choice B is the correct answer.

The Following Data Show the Number of Laps Run by Each