**Teamwork 4 Activity***Due Thursday before class begins*The following shows the distribution of highway MPG ratings for cars in the *upscale*, *sports*, and *small* classifications:### Dot Plot Explanation- **Collection 1**: This dot plot displays Highway Miles per Gallon (MPG) for three types of car classifications—*upscale*, *sports*, and *small*. - The x-axis represents the Highway MPG, ranging from 22 to 36. - Each classification has its own distribution: - *Upscale* cars show a distributed pattern mostly between 24 and 30 MPG. - *Sports* cars are spread with a focus between 22 and 28 MPG. - *Small* cars have a higher concentration, with many data points between 30 and 36 MPG.### Statistical MeasuresThe tables below report the interquartile range (IQR) and standard deviation (SD) of these MPG ratings for each group.- **Upscale** - IQR: 6 - SD: 3.01- **Sports** - IQR: 3 - SD: 2.52- **Small** - IQR: 1 - SD: 1.34The leader should be the person whose last name's first letter is closer to Z. ### Teamwork 4 Activity**Task:** Use your knowledge from Section 7.2 to verify the values in the table. Show your process, including the standard deviation (SD) calculations for the given categories: (4) SD of Upscale, (5) SD of Sports, and (6) SD of Small. You can use Excel or a calculator.**Table Overview:**- **Categories:** Small, Sports, Upscale- **Data Points:** - Small: 25 data entries - Sports: 15 data entries - Upscale: 14 data entries **Data Values:**| Small | Sports | Upscale ||-------|--------|---------|| 28 | 23 | 24 || 28 | 24 | 24 || 29 | 24 | 25 || 29 | 25 | 26 || 30 | 25 | 26 || 30 | 26 | 26 || 31 | 26 | 27 || 31 | 26 | 27 || 31 | 27 | 27 || 31 | 27 | 27 || 32 | 29 | 27 || 32 | 29 | 27 || 32 | 30 | 28 || 32 | 31 | 28 || 32 | 31 | 28 || 33 | 31 | || 33 | 32 | || 33 | 32 | || 34 | | || 34 | | || 34 | | || 34 | | || 35 | | || 35 | | || 36 | | || 36 | | |**Additional Notes:**- **Quartiles for Upscale:** - Q1 = 26 - Q3 = 27- **Interquartile Range (IQR):** - IQR = Q3 - Q1 = 27

Name: **Teamwork 4 Activity***Due Thursday before class begins*The followin
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Description: **Teamwork 4 Activity***Due Thursday before class begins*The following shows the distribution of highway MPG ratings for cars in the *upscale*, *sports*, and *small* classifications:### Dot Plot Explanation- **Collection 1**: This dot plot displays

xi xi-x (xi-x)2 24 -2.428 5.895184 24 -2.428 5.895184 25 -1.428 2.039184 26 -0.428 0.183184…

Answered: small sports upscale Your task is to…

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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**Teamwork 4 Activity**

*Due Thursday before class begins*

The following shows the distribution of highway MPG ratings for cars in the *upscale*, *sports*, and *small* classifications:

### Dot Plot Explanation
- **Collection 1**: This dot plot displays Highway Miles per Gallon (MPG) for three types of car classifications—*upscale*, *sports*, and *small*.
- The x-axis represents the Highway MPG, ranging from 22 to 36.
- Each classification has its own distribution:
- *Upscale* cars show a distributed pattern mostly between 24 and 30 MPG.
- *Sports* cars are spread with a focus between 22 and 28 MPG.
- *Small* cars have a higher concentration, with many data points between 30 and 36 MPG.

### Statistical Measures
The tables below report the interquartile range (IQR) and standard deviation (SD) of these MPG ratings for each group.

- **Upscale**
- IQR: 6
- SD: 3.01
- **Sports**
- IQR: 3
- SD: 2.52
- **Small**
- IQR: 1
- SD: 1.34

The leader should be the person whose last name's first letter is closer to Z.

### Teamwork 4 Activity

**Task:**
Use your knowledge from Section 7.2 to verify the values in the table. Show your process, including the standard deviation (SD) calculations for the given categories: (4) SD of Upscale, (5) SD of Sports, and (6) SD of Small. You can use Excel or a calculator.

**Table Overview:**
- **Categories:** Small, Sports, Upscale
- **Data Points:**
- Small: 25 data entries
- Sports: 15 data entries
- Upscale: 14 data entries

**Data Values:**

| Small | Sports | Upscale |
|-------|--------|---------|
| 28 | 23 | 24 |
| 28 | 24 | 24 |
| 29 | 24 | 25 |
| 29 | 25 | 26 |
| 30 | 25 | 26 |
| 30 | 26 | 26 |
| 31 | 26 | 27 |
| 31 | 26 | 27 |
| 31 | 27 | 27 |
| 31 | 27 | 27 |
| 32 | 29 | 27 |
| 32 | 29 | 27 |
| 32 | 30 | 28 |
| 32 | 31 | 28 |
| 32 | 31 | 28 |
| 33 | 31 | |
| 33 | 32 | |
| 33 | 32 | |
| 34 | | |
| 34 | | |
| 34 | | |
| 34 | | |
| 35 | | |
| 35 | | |
| 36 | | |
| 36 | | |

**Additional Notes:**
- **Quartiles for Upscale:**
- Q1 = 26
- Q3 = 27
- **Interquartile Range (IQR):**
- IQR = Q3 - Q1 = 27

Expert Solution

Step 1 For upscale

$x_{i}$	$x_{i} - x$	${(x_{i} - x)}^{2}$
24	-2.428	5.895184
24	-2.428	5.895184
25	-1.428	2.039184
26	-0.428	0.183184
26	-0.428	0.183184
26	-0.428	0.183184
27	0.572	0.327184
27	0.572	0.327184
27	0.572	0.327184
27	0.572	0.327184
27	0.572	0.327184
28	1.572	2.471184
28	1.572	2.471184
28	1.572	2.471184
Total =370		23.42858

Mean of upscale,
$\begin{array}{rcl} x & = & \frac{\sum_{i = 1}^{n} x_{i}}{n} \\ = & \frac{370}{14} \\ = & 26.428 \end{array}$

Standard deviation of upscale
$\begin{array}{rcl} S D & = & \sqrt{\frac{\sum_{i = 1}^{n} {(x_{i} - x)}^{2}}{n - 1}} \\ = & \sqrt{\frac{23.42858}{14 - 1}} \\ = & \sqrt{1.8022} \\ = & 1.3424 \end{array}$

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