1 1 22 3 1 4 6 55 (Round to 3 decimal places as needed 6 9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer
![**Finding the Mean for the Data Items in a Frequency Distribution**
To calculate the mean from the given frequency distribution, follow the steps below:
### Frequency Distribution Table
| Score, \( x \) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|-----------------|---|---|---|---|---|---|---|---|---|----|
| Frequency, \( f \)| 1 | 2 | 1 | 1 | 6 | 9 | 5 | 3 | 3 | 3 |
### Steps to Calculate the Mean
1. **Multiply each score (\( x \)) by its corresponding frequency (\( f \))** to find the contribution of each score to the total sum.
2. **Sum the products** from step 1 to get the total sum of all scores.
3. **Sum all the frequencies (\( f \))** to find the total number of data items.
4. **Divide the total sum of all scores by the total number of data items** to get the mean.
5. **Round the mean to 3 decimal places** as needed.
### Formula
\[ \text{Mean} = \frac{\sum (x \times f)}{\sum f} \]
### Interactive Component
After calculating, fill in the answer in the box provided. Ensure that your final answer is rounded to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8470e22-cdb6-4814-babe-099f6875e962%2Fd7d47831-fd4b-478e-a67d-a477dc19cc9b%2Fce5moq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Mean for the Data Items in a Frequency Distribution**
To calculate the mean from the given frequency distribution, follow the steps below:
### Frequency Distribution Table
| Score, \( x \) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|-----------------|---|---|---|---|---|---|---|---|---|----|
| Frequency, \( f \)| 1 | 2 | 1 | 1 | 6 | 9 | 5 | 3 | 3 | 3 |
### Steps to Calculate the Mean
1. **Multiply each score (\( x \)) by its corresponding frequency (\( f \))** to find the contribution of each score to the total sum.
2. **Sum the products** from step 1 to get the total sum of all scores.
3. **Sum all the frequencies (\( f \))** to find the total number of data items.
4. **Divide the total sum of all scores by the total number of data items** to get the mean.
5. **Round the mean to 3 decimal places** as needed.
### Formula
\[ \text{Mean} = \frac{\sum (x \times f)}{\sum f} \]
### Interactive Component
After calculating, fill in the answer in the box provided. Ensure that your final answer is rounded to three decimal places.
Expert Solution
Step 1
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
