MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### Histogram Analysis for Frequency Distribution

Use the frequency histogram to complete the following parts:

(a) **Identify the class with the greatest, and the class with the least, relative frequency.**

(b) **Estimate the greatest and least relative frequencies.**

(c) **Describe any patterns with the data.**

---

**(a)** The class with the greatest relative frequency is \[\_\_\_\] to \[\_\_\_\] centimeters.

(Type integers or decimals. Do not round. Use ascending order.)
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Transcribed Image Text:### Histogram Analysis for Frequency Distribution Use the frequency histogram to complete the following parts: (a) **Identify the class with the greatest, and the class with the least, relative frequency.** (b) **Estimate the greatest and least relative frequencies.** (c) **Describe any patterns with the data.** --- **(a)** The class with the greatest relative frequency is \[\_\_\_\] to \[\_\_\_\] centimeters. (Type integers or decimals. Do not round. Use ascending order.)
### Female Fibula Lengths Analysis

The histogram provided illustrates the relative frequency distribution of female fibula lengths, measured in centimeters.

#### Graph Breakdown:
1. **Horizontal Axis (X-axis)**:
    - Represents the length of female fibulas in centimeters.
    - The lengths range from 30.5 cm to 48.5 cm, in intervals of 2 cm.

2. **Vertical Axis (Y-axis)**:
    - Represents the relative frequency of the fibula lengths.
    - The relative frequency ranges from 0 to 0.25.

#### Key Observations:
- **Most Common Length (Mode)**:
    - The length interval with the highest relative frequency is between 40.5 cm and 42.5 cm, with a peak relative frequency of approximately 0.25.
- **Distribution Shape**:
    - The distribution appears to be approximately bell-shaped, indicating a normal distribution of fibula lengths among the sampled population.
- **Range**:
    - The fibula lengths range from the shortest observed interval of 30.5 cm to 32.5 cm, to the longest observed interval of 48.5 cm to 50.5 cm.
- **Frequency Spread**:
    - The fibula lengths predominantly fall between 36.5 cm and 44.5 cm, with less common lengths occurring outside this range.

This histogram aids in understanding the distribution of fibula lengths in a sampled female population, which can be useful for anthropological studies, ergonomics, and health sciences.
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Transcribed Image Text:### Female Fibula Lengths Analysis The histogram provided illustrates the relative frequency distribution of female fibula lengths, measured in centimeters. #### Graph Breakdown: 1. **Horizontal Axis (X-axis)**: - Represents the length of female fibulas in centimeters. - The lengths range from 30.5 cm to 48.5 cm, in intervals of 2 cm. 2. **Vertical Axis (Y-axis)**: - Represents the relative frequency of the fibula lengths. - The relative frequency ranges from 0 to 0.25. #### Key Observations: - **Most Common Length (Mode)**: - The length interval with the highest relative frequency is between 40.5 cm and 42.5 cm, with a peak relative frequency of approximately 0.25. - **Distribution Shape**: - The distribution appears to be approximately bell-shaped, indicating a normal distribution of fibula lengths among the sampled population. - **Range**: - The fibula lengths range from the shortest observed interval of 30.5 cm to 32.5 cm, to the longest observed interval of 48.5 cm to 50.5 cm. - **Frequency Spread**: - The fibula lengths predominantly fall between 36.5 cm and 44.5 cm, with less common lengths occurring outside this range. This histogram aids in understanding the distribution of fibula lengths in a sampled female population, which can be useful for anthropological studies, ergonomics, and health sciences.
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