Heights of WOMEN in the U.S. are normally distributed. Recent information shows: Adult women height: µ = 63.8 inches with σ = 2.8 inches. ) A woman in the U.S. shorter than __________ inches would be considered “unusually short”. Recall that your book defines unusual as 2.5 or more standard deviations from the mean. (Show work or explain answer.) **Sample of RCCC Women’s Heights – Spring 2022**The table below represents a sample of women's heights from RCCC during the Spring 2022 semester. The heights are measured in inches, and the frequency column indicates the number of women who fall into each height category.| **Height (in inches)** | **Frequency** ||------------------------|---------------|| 61 | 4 || 62 | 8 || 63 | 7 || 64 | 7 || 65 | 12 || 66 | 3 || 67 | 7 || 68 | 2 || 69 | 0 || 70 | 1 || 71 | 0 || 72 | 1 |**Analysis:**- The most common height is 65 inches, with a frequency of 12.- The heights range from 61 inches to 72 inches.- Heights of 69 and 71 inches are the least common or completely absent, with both having a frequency of 0.- The data shows a relatively symmetrical distribution around the most frequent height (65 inches).This histogram provides a useful snapshot of the height distribution among women at RCCC for Spring 2022. Use this data to understand height trends and the diversity of physical characteristics within this population.

Answered: Heights of WOMEN in the U.S. are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Heights of WOMEN in the U.S. are normally distributed. Recent information shows:

Adult women height: µ = 63.8 inches with σ = 2.8 inches.

) A woman in the U.S. shorter than __________ inches would be considered “unusually short”. Recall that your book defines unusual as 2.5 or more standard deviations from the mean. (Show work or explain answer.)

**Sample of RCCC Women’s Heights – Spring 2022**

The table below represents a sample of women's heights from RCCC during the Spring 2022 semester. The heights are measured in inches, and the frequency column indicates the number of women who fall into each height category.

| **Height (in inches)** | **Frequency** |
|------------------------|---------------|
| 61 | 4 |
| 62 | 8 |
| 63 | 7 |
| 64 | 7 |
| 65 | 12 |
| 66 | 3 |
| 67 | 7 |
| 68 | 2 |
| 69 | 0 |
| 70 | 1 |
| 71 | 0 |
| 72 | 1 |

**Analysis:**
- The most common height is 65 inches, with a frequency of 12.
- The heights range from 61 inches to 72 inches.
- Heights of 69 and 71 inches are the least common or completely absent, with both having a frequency of 0.
- The data shows a relatively symmetrical distribution around the most frequent height (65 inches).

This histogram provides a useful snapshot of the height distribution among women at RCCC for Spring 2022. Use this data to understand height trends and the diversity of physical characteristics within this population.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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