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# Frequencies, distributions, and numbers of friends: A college student is interested in how many friends the average person has.

**Frequencies, distributions, and numbers of friends:** A college student is interested in how many friends the average person has. She decides to count the number of people who appear in photographs on display in dorm rooms and offices across campus. She collects data on 84 students and 33 faculty members. The data are presented below.

"Data from the graph are summarized as follows. All data are approximate. 3, 32; 9, 51; 15, 8; 21, 24; 27, 2"

- What kind of visual display is this?
- Estimate how many people have fewer than 6 people pictured.
- Estimate how many people have more than 18 people pictured.
- Can you think of additional questions you might ask after reviewing the data displayed here?
- Below is a subset of the data described here. Create a grouped frequency table for these data, using seven groupings.153913018153357771131220164171516106887317
- Create a histogram of the grouped data from (e).
- Describe how the data depicted in the original graph and the histogram you created in part (f) are distributed.
- Use the data in part (e) to create a stem-and-leaf plot. For each score, use the first digit for the stem and the second digit for the leaf. For values under 10, use 0 as the stem and single digit for the leaf.
- Refer to the stem-and-leaf plot you created in (h). Do these data reflect a floor effect or a ceiling effect? Explain your answer.