Height (in.) 68-71 72-75 76-79 80-83 84-87 Frequency 16 41 70 60 15 a) Considering the data to be a population, approximate the standard deviation of the heights. Hint: Consider the rule of thumb, that is, range = 19 and s=4.75 b) Approximate the mean of the heights.

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---

### Data Analysis and Statistics

**13) Table of Heights**
The following table presents the heights (in inches) of a sample of college basketball players.

| Height (in.) | Frequency |
|--------------|-----------|
| 68 - 71      | 16        |
| 72 - 75      | 41        |
| 76 - 79      | 70        |
| 80 - 83      | 60        |
| 84 - 87      | 15        |

a) **Task:** Considering the data to be a population, approximate the standard deviation of the heights.  
*Hint:* Consider the rule of thumb, that is, range = 19 and s = 4.75.

b) **Task:** Approximate the mean of the heights.

---

**14) Grade Point Average Calculation**
A student received the following grades last semester. Find the student's semester grade point average.

| Course      | Credits | Grade/Points |
|-------------|---------|--------------|
| Statistics  | 4       | A / 4.0      |
| Physics     | 5       | F / 0.0      |
| Sociology   | 2       | B / 3.0      |
| Literature  | 2       | B / 3.0      |
| Tennis      | 1       | D / 1.0      |

---

**Boxplot Analysis**

Use the boxplot to identify the maximum value, minimum value, median, first quartile, third quartile, and interquartile range.

**15) Analysis:**
- **Min:** 7
- **Max:** 12
- **Median (Med):** 9
- **Q1:** 8
- **Q3:** 11
- **Interquartile Range (IQR):** Q3 - Q1 = 11 - 8 = 3

b) **Task:** Identify any outlier(s), if applicable.  
*Hint:* The interquartile range is 3, not 4.  
- **Outliers:** None

---

**Probability and Statistics**

**16) Survey Probability**
In a poll of 522 university students, 219 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana?
- **Calculation:** 219/522 =
Transcribed Image Text:Here is a transcription and explanation of the document: --- ### Data Analysis and Statistics **13) Table of Heights** The following table presents the heights (in inches) of a sample of college basketball players. | Height (in.) | Frequency | |--------------|-----------| | 68 - 71 | 16 | | 72 - 75 | 41 | | 76 - 79 | 70 | | 80 - 83 | 60 | | 84 - 87 | 15 | a) **Task:** Considering the data to be a population, approximate the standard deviation of the heights. *Hint:* Consider the rule of thumb, that is, range = 19 and s = 4.75. b) **Task:** Approximate the mean of the heights. --- **14) Grade Point Average Calculation** A student received the following grades last semester. Find the student's semester grade point average. | Course | Credits | Grade/Points | |-------------|---------|--------------| | Statistics | 4 | A / 4.0 | | Physics | 5 | F / 0.0 | | Sociology | 2 | B / 3.0 | | Literature | 2 | B / 3.0 | | Tennis | 1 | D / 1.0 | --- **Boxplot Analysis** Use the boxplot to identify the maximum value, minimum value, median, first quartile, third quartile, and interquartile range. **15) Analysis:** - **Min:** 7 - **Max:** 12 - **Median (Med):** 9 - **Q1:** 8 - **Q3:** 11 - **Interquartile Range (IQR):** Q3 - Q1 = 11 - 8 = 3 b) **Task:** Identify any outlier(s), if applicable. *Hint:* The interquartile range is 3, not 4. - **Outliers:** None --- **Probability and Statistics** **16) Survey Probability** In a poll of 522 university students, 219 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana? - **Calculation:** 219/522 =
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