Use the following data sets in problems #4 - #6. Data Set 1: A genetic study was performed on the number of armored plates found on stickleback fish. A random sample of 40 stickleback fish showed the following number of plates: 12 62 50 12 27 11 62 9 64 63 21 49 62 43 65 51 62 21 62 62 66 9 64 12 63 10 21 61 9 20 63 45 57 60 62 42 64 65 12 54 Data Set 2: It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures: 98.5 98.6 97.8 98.9 97.9 99 98.2 98.7 98.8 99 98 99.2 99.5 99.4 98.3 99.1 98.4 97.6 97.4 97.7 97.5 98.8 98.6 99.3 98.4 4. For each of the data sets, calculate the mean and median. Based on the mean and median, what is the most likely distribution of each data set? 5. Construct a stem-and-leaf plot and a boxplot for EACH data set. 6. Do the graphs in #5 support your answers to #4? Justify your answer using a complete sentence(s) and proper grammar.

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**Educational Text Transcription:**

Use the following data sets in problems #4-#6.

**Data Set 1:**  
A genetic study was performed on stickleback fish. A random sample of 40 stickleback fish showed the following number of armored plates found on stickleback fish:

|   |   |   |   |   |
|---|---|---|---|---|
| 12 | 54 | 52 | 52 | 54 |
| 52 | 61 | 63 | 52 | 49 |
| 54 | 21 | 62 | 42 | 9  |
| 51 | 60 | 30 | 35 | 57 |
| 27 | 24 | 55 | 49 | 50 |
| 53 | 58 | 48 | 61 | 53 |
| 55 | 62 | 50 | 50 | 50 |
| 51 | 27 | 60 | 12 | 54 |
| 12 | 11 | 10 | 62 | 62 |

**Data Set 2:**  
It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures:

|   |   |   |   |   |
|---|---|---|---|---|
| 98.6 | 99.4 | 98.5 | 98.3 | 98.4 |
| 98.8 | 99.3 | 99.2 | 99 | 98.3 |
| 97.5 | 98.2 | 98.6 | 98.9 | 99.3 |
| 98.6 | 98.9 | 99.1 | 98.2 | 98 |
| 97.8 | 98.5 | 98.2 | 99 | 98.8 |

**Questions:**

4. For each of the data sets, calculate the mean and median. Based on the mean and median, what is the most likely distribution of each data set?

5. Construct a stem-and-leaf plot and a boxplot for each data set.

6. Do the graphs in #5 support your answers to #4? Justify your answer using a complete sentence(s) and proper grammar.
Transcribed Image Text:**Educational Text Transcription:** Use the following data sets in problems #4-#6. **Data Set 1:** A genetic study was performed on stickleback fish. A random sample of 40 stickleback fish showed the following number of armored plates found on stickleback fish: | | | | | | |---|---|---|---|---| | 12 | 54 | 52 | 52 | 54 | | 52 | 61 | 63 | 52 | 49 | | 54 | 21 | 62 | 42 | 9 | | 51 | 60 | 30 | 35 | 57 | | 27 | 24 | 55 | 49 | 50 | | 53 | 58 | 48 | 61 | 53 | | 55 | 62 | 50 | 50 | 50 | | 51 | 27 | 60 | 12 | 54 | | 12 | 11 | 10 | 62 | 62 | **Data Set 2:** It has been hypothesized that the body temperature of healthy adult humans is normally distributed. A random sample of 25 healthy adults resulted in the following body temperatures: | | | | | | |---|---|---|---|---| | 98.6 | 99.4 | 98.5 | 98.3 | 98.4 | | 98.8 | 99.3 | 99.2 | 99 | 98.3 | | 97.5 | 98.2 | 98.6 | 98.9 | 99.3 | | 98.6 | 98.9 | 99.1 | 98.2 | 98 | | 97.8 | 98.5 | 98.2 | 99 | 98.8 | **Questions:** 4. For each of the data sets, calculate the mean and median. Based on the mean and median, what is the most likely distribution of each data set? 5. Construct a stem-and-leaf plot and a boxplot for each data set. 6. Do the graphs in #5 support your answers to #4? Justify your answer using a complete sentence(s) and proper grammar.
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