The ages of a group of 10 swimmers were as follows:  20, 15, 18, 38, 42, 51, 11, 23, 20, 26

If making a stem and leaf plot, what would the stems be?

To create a stem-and-leaf plot for the ages of the swimmers, the "stem" represents the leading digit(s) of the numbers, and the "leaf" represents the last digit.

Given the ages: 20, 15, 18, 38, 42, 51, 11, 23, 20, 26, here’s how you would determine the stems:

1. **10s** digit of 11, 15, and 18 → Stem = **1**
2. **20s** digit of 20, 20, 23, and 26 → Stem = **2**
3. **30s** digit of 38 → Stem = **3**
4. **40s** digit of 42 → Stem = **4**
5. **50s** digit of 51 → Stem = **5**

So, the stems for this data set would be: **1, 2, 3, 4, 5**.

Would you like details on how to construct the full stem-and-leaf plot?

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Here are 5 related questions:

1. How would you list the leaves for each stem in this stem-and-leaf plot?
2. How would the plot change if an additional swimmer aged 29 joined the group?
3. What does the stem-and-leaf plot reveal about the distribution of ages?
4. How would you handle the data if one of the swimmers were aged 5 instead?
5. How does a stem-and-leaf plot compare to a histogram in representing data?

**Tip:** Always ensure that the stems in a stem-and-leaf plot are ordered sequentially, even if a stem has no leaves.

Learn how to create a stem-and-leaf plot for a group of swimmers' ages, including detailed steps and examples. This problem involves statistical data visualization techniques, focusing on stem-and-leaf plots to analyze age distribution.

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