Question

Make a stem-and-leaf plot for the data. Use the result to list the data in increasing order. $$\begin{aligned}&60,74,75,63,78,70,50\\\&74,52,74,65,78,54\end{aligned}$$

Short answer

The data in increasing order is: [50, 52, 54, 60, 63, 65, 70, 74, 74, 75, 78, 78]

Step-by-step solution

- Organize Data

First, arrange the given numbers into a list ignoring any repetitions: [50, 52, 54, 60, 63, 65, 70, 74, 75, 78]

- Create Stems

Then, use the tens digits of given numbers to create the stem. We have these numbers in tens digit: [5, 6, 7].

- Attach Leaves

Attach the units digits to their corresponding stems. If a stem has more than one leaf, list the leaves in increasing order. This results in:5 | 0, 2, 4 6 | 0, 3, 5 7 | 0, 4, 4, 5, 8

- List Data in Increasing Order

Finally, using the stem-and-leaf plot, list the data in increasing order. Thus, we have: [50, 52, 54, 60, 63, 65, 70, 74, 74, 75, 78, 78].