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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 =
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