**Topic: Hallux Abducto Valgus (HAV) Deformity Analysis**Hallux abducto valgus (HAV) is a deformation of the big toe that is not common in youth and often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity in 19 consecutive patients under the age of 21 who came to a medical center for surgery to correct HAV. The angle is a measure of the seriousness of the deformity. The data for HAV angle are given below:32, 25, 21, 22, 20, 18, 26, 16, 30, 30, 20, 50, 25, 26, 28, 31, 38, 32, 21**(a) Construct a stem and leaf plot for the data.**To create a stem and leaf plot, separate each data point into a stem (the leading digit or digits) and a leaf (the last digit). For example, for the number 32, the stem is 3 and the leaf is 2.**Stem and Leaf Plot:**```1 | 6 82 | 0 0 1 1 2 5 5 6 6 83 | 0 0 1 2 24 |5 | 0```**(b) Determine the quartiles Q1, Q2, Q3.**1. **Arrange the data in ascending order:** 16, 18, 20, 20, 21, 21, 22, 25, 25, 26, 26, 28, 30, 30, 31, 32, 32, 38, 502. **Find Q1, Q2, Q3 (1st quartile, median, 3rd quartile):** - **Q1 (25th percentile):** 21 - **Q2 (Median):** 26 - **Q3 (75th percentile):** 30**(c) Does the data contain any outliers?**Compute the inner fences and outer fences and identify mild and extreme outliers if any. Use a box plot to indicate outliers.1. **Interquartile Range (IQR) = Q3 - Q1 =

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Description: **Topic: Hallux Abducto Valgus (HAV) Deformity Analysis**Hallux abducto valgus (HAV) is a deformation of the big toe that is not common in youth and often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity in 19 con

(a) Steps for Stem-and-leaf diagram: In stem plot each of the observation is separated into two…

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Hallux abducto valgus (HAV) is a deformation of the big toe that is not common in youth and often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity in 19 consecutive patients under the age of 21 who came to a medical center for surgery to correct HAV. The angle is a measure of the seriousness of the deformity. The data for HAV angle are given below: 32 25 21 22 20 18 26 16 30 30 20 50 25 26 28 31 38 32 21 (a) Construct a stem and leaf plot for the data. (b) Determine the quartiles Q1, Q2 , Q3. (c) Does the data contain any outliers? Compute the inner fences, and outer fences and identify mild and extreme outliers, if any. Draw a box plot (indicating outliers, if any).

Hallux abducto valgus (HAV) is a deformation of the big toe that is not common in youth and often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity in 19 consecutive patients under the age of 21 who came to a medical center for surgery to correct HAV. The angle is a measure of the seriousness of the deformity. The data for HAV angle are given below: 32 25 21 22 20 18 26 16 30 30 20 50 25 26 28 31 38 32 21 (a) Construct a stem and leaf plot for the data. (b) Determine the quartiles Q1, Q2 , Q3. (c) Does the data contain any outliers? Compute the inner fences, and outer fences and identify mild and extreme outliers, if any. Draw a box plot (indicating outliers, if any).

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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**Topic: Hallux Abducto Valgus (HAV) Deformity Analysis**

Hallux abducto valgus (HAV) is a deformation of the big toe that is not common in youth and often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity in 19 consecutive patients under the age of 21 who came to a medical center for surgery to correct HAV. The angle is a measure of the seriousness of the deformity. The data for HAV angle are given below:

32, 25, 21, 22, 20, 18, 26, 16, 30, 30, 20, 50, 25, 26, 28, 31, 38, 32, 21

**(a) Construct a stem and leaf plot for the data.**

To create a stem and leaf plot, separate each data point into a stem (the leading digit or digits) and a leaf (the last digit). For example, for the number 32, the stem is 3 and the leaf is 2.

**Stem and Leaf Plot:**
```
1 | 6 8
2 | 0 0 1 1 2 5 5 6 6 8
3 | 0 0 1 2 2
4 |
5 | 0
```

**(b) Determine the quartiles Q1, Q2, Q3.**

1. **Arrange the data in ascending order:**

16, 18, 20, 20, 21, 21, 22, 25, 25, 26, 26, 28, 30, 30, 31, 32, 32, 38, 50

2. **Find Q1, Q2, Q3 (1st quartile, median, 3rd quartile):**

- **Q1 (25th percentile):** 21
- **Q2 (Median):** 26
- **Q3 (75th percentile):** 30

**(c) Does the data contain any outliers?**

Compute the inner fences and outer fences and identify mild and extreme outliers if any. Use a box plot to indicate outliers.

1. **Interquartile Range (IQR) = Q3 - Q1 =

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