What is the standard deviation of MATHEMATICAL SKILLS scores for females? (Round to the hundredth place.) Show your work. How do males and females compare on average in their MATHEMATICAL SKILLS? Mathematical x2 skills x Case ID Sex #1 1 32 1,024 #2 1 40 1,600 # 3 38 1,444 # 4 1 20 400 #5 1 33 1,089 #6 1 40 1,600 #7 1 38 1,444 # 8 1 47 2,209 #9 1 29 841 #10 1 24 576 Sum x2 Subtotal Sum x=341 12,227 Hint: using the concept of inequality or equality to compare them. 1/2 Between males and females which group shows more variability in Mathematical Skills scores? Explain. Calculate the standard deviation of the MATHEMATICAL SKILLS scores for all possible female students? (Round up to the hundredth place.) Show your work.
What is the standard deviation of MATHEMATICAL SKILLS scores for females? (Round to the hundredth place.) Show your work. How do males and females compare on average in their MATHEMATICAL SKILLS? Mathematical x2 skills x Case ID Sex #1 1 32 1,024 #2 1 40 1,600 # 3 38 1,444 # 4 1 20 400 #5 1 33 1,089 #6 1 40 1,600 #7 1 38 1,444 # 8 1 47 2,209 #9 1 29 841 #10 1 24 576 Sum x2 Subtotal Sum x=341 12,227 Hint: using the concept of inequality or equality to compare them. 1/2 Between males and females which group shows more variability in Mathematical Skills scores? Explain. Calculate the standard deviation of the MATHEMATICAL SKILLS scores for all possible female students? (Round up to the hundredth place.) Show your work.
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 Female 4**
| Case ID# | SEX | Mathematical Skills (X) | X² |
|----------|-----|-------------------------|------|
| #1 | 2 | 43 | 1,849|
| #2 | 2 | 37 | 1,369|
| #3 | 2 | 44 | 1,936|
| #4 | 2 | 30 | 900 |
| #5 | 2 | 32 | 1,024|
| #6 | 2 | 29 | 841 |
| #7 | 2 | 38 | 1,444|
| #8 | 2 | 19 | 361 |
| #9 | 2 | 29 | 841 |
| #10 | 2 | 40 | 1,600|
**Subtotal**
- Sum X = 341
- Sum X² = 12,165
**Question:**
What is the mean of MATHEMATICAL SKILLS scores for females?
**Explanation:**
The table presents data for 10 cases identified by ID numbers. Each entry records the sex (coded as 2 for females), the score on mathematical skills (X), and the square of that score (X²). The subtotal at the end provides the total of all mathematical skills scores and their squares.
To find the mean mathematical skills score for females:
\[ \text{Mean} = \frac{\text{Sum of Mathematical Skills (X)}}{\text{Number of Cases}} = \frac{341}{10} = 34.1 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb16d438a-6747-410f-961a-8af2d5e6e1f5%2F89587281-773d-4ce2-82b7-997e6af11d3e%2Ftoxnmkf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Data Female 4**
| Case ID# | SEX | Mathematical Skills (X) | X² |
|----------|-----|-------------------------|------|
| #1 | 2 | 43 | 1,849|
| #2 | 2 | 37 | 1,369|
| #3 | 2 | 44 | 1,936|
| #4 | 2 | 30 | 900 |
| #5 | 2 | 32 | 1,024|
| #6 | 2 | 29 | 841 |
| #7 | 2 | 38 | 1,444|
| #8 | 2 | 19 | 361 |
| #9 | 2 | 29 | 841 |
| #10 | 2 | 40 | 1,600|
**Subtotal**
- Sum X = 341
- Sum X² = 12,165
**Question:**
What is the mean of MATHEMATICAL SKILLS scores for females?
**Explanation:**
The table presents data for 10 cases identified by ID numbers. Each entry records the sex (coded as 2 for females), the score on mathematical skills (X), and the square of that score (X²). The subtotal at the end provides the total of all mathematical skills scores and their squares.
To find the mean mathematical skills score for females:
\[ \text{Mean} = \frac{\text{Sum of Mathematical Skills (X)}}{\text{Number of Cases}} = \frac{341}{10} = 34.1 \]
**Description of the Data Table:**
- The table titled "Data male 4" contains three columns:
- **Case ID:** Labels from #1 to #10 for each entry.
- **Sex:** All entries have a value of 1.
- **Mathematical skills \( x \):** Scores are 32, 40, 38, 20, 33, 40, 38, 47, 29, 24.
- **\( x^2 \) (squared values of scores):** Corresponding values are 1,024; 1,600; 1,444; 400; 1,089; 1,600; 1,444; 2,209; 841; 576.
- **Subtotals:**
- Sum of the mathematical skills scores (\( \Sigma x = 341 \))
- Sum of the squared scores (\( \Sigma x^2 = 12,227 \))
**Hint:** Use the concept of inequality or equality to compare them.
---
**Between males and females, which group shows more variability in Mathematical Skills scores? Explain.**
**Calculate the standard deviation of the MATHEMATICAL SKILLS scores for all possible female students?**
(Round up to the hundredth place.) Show your work.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb16d438a-6747-410f-961a-8af2d5e6e1f5%2F89587281-773d-4ce2-82b7-997e6af11d3e%2Fz11gkg4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription:**
---
**What is the standard deviation of MATHEMATICAL SKILLS scores for females?**
(Round to the hundredth place.) Show your work.
**How do males and females compare on average in their MATHEMATICAL SKILLS?**
**Description of the Data Table:**
- The table titled "Data male 4" contains three columns:
- **Case ID:** Labels from #1 to #10 for each entry.
- **Sex:** All entries have a value of 1.
- **Mathematical skills \( x \):** Scores are 32, 40, 38, 20, 33, 40, 38, 47, 29, 24.
- **\( x^2 \) (squared values of scores):** Corresponding values are 1,024; 1,600; 1,444; 400; 1,089; 1,600; 1,444; 2,209; 841; 576.
- **Subtotals:**
- Sum of the mathematical skills scores (\( \Sigma x = 341 \))
- Sum of the squared scores (\( \Sigma x^2 = 12,227 \))
**Hint:** Use the concept of inequality or equality to compare them.
---
**Between males and females, which group shows more variability in Mathematical Skills scores? Explain.**
**Calculate the standard deviation of the MATHEMATICAL SKILLS scores for all possible female students?**
(Round up to the hundredth place.) Show your work.
---
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