Average and standard deviation based on "Using the Balance" Data pt. Deviation, (di) (Xi — m) Xi 2 1 3 4 sum Mean: Standard Deviation: i Average and standard deviation based on "Measuring the volume of water transferred" Data pt. Deviation, (di) (x; -m) Xi 1 10.065 mL 10.036 mL 9,793 mL 9.992mL O 2 3 4 55.858 55.858 55.858 55.858 5 sum Mean: Standard Deviation: Square of di (x; -m)² -16- Square of di (Xi – m)
Average and standard deviation based on "Using the Balance" Data pt. Deviation, (di) (Xi — m) Xi 2 1 3 4 sum Mean: Standard Deviation: i Average and standard deviation based on "Measuring the volume of water transferred" Data pt. Deviation, (di) (x; -m) Xi 1 10.065 mL 10.036 mL 9,793 mL 9.992mL O 2 3 4 55.858 55.858 55.858 55.858 5 sum Mean: Standard Deviation: Square of di (x; -m)² -16- Square of di (Xi – m)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![### Average and Standard Deviation Analysis
#### Using the Balance
**Data Points (xi):**
1. 55.858
2. 55.858
3. 55.858
4. 55.858
**Deviation (di = xi - m):**
- [To be calculated]
**Square of Deviation (di^2 = (xi - m)^2):**
- [To be calculated]
**Sum:**
- [To be calculated]
**Mean:**
- [To be calculated]
**Standard Deviation:**
- [To be calculated]
---
#### Measuring the Volume of Water Transferred
**Data Points (xi):**
1. 10.065 ml
2. 10.036 ml
3. 9.793 ml
4. 9.992 ml
5. 0
**Deviation (di = xi - m):**
- [To be calculated]
**Square of Deviation (di^2 = (xi - m)^2):**
- [To be calculated]
**Sum:**
- [To be calculated]
**Mean:**
- [To be calculated]
**Standard Deviation:**
- [To be calculated]
---
### Explanation of Method
Each section involves calculating the mean and standard deviation based on a set of data points. The deviations from the mean are computed for each data point and squared to assess the variance. The resulting figures will aid in evaluating the precision and accuracy of the measurements taken using different methods.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b897147-dac4-49d3-a0b7-87acbe9c344d%2F684e62e8-ae38-475b-ba53-69a37c16cfcb%2Frrq5ltf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Average and Standard Deviation Analysis
#### Using the Balance
**Data Points (xi):**
1. 55.858
2. 55.858
3. 55.858
4. 55.858
**Deviation (di = xi - m):**
- [To be calculated]
**Square of Deviation (di^2 = (xi - m)^2):**
- [To be calculated]
**Sum:**
- [To be calculated]
**Mean:**
- [To be calculated]
**Standard Deviation:**
- [To be calculated]
---
#### Measuring the Volume of Water Transferred
**Data Points (xi):**
1. 10.065 ml
2. 10.036 ml
3. 9.793 ml
4. 9.992 ml
5. 0
**Deviation (di = xi - m):**
- [To be calculated]
**Square of Deviation (di^2 = (xi - m)^2):**
- [To be calculated]
**Sum:**
- [To be calculated]
**Mean:**
- [To be calculated]
**Standard Deviation:**
- [To be calculated]
---
### Explanation of Method
Each section involves calculating the mean and standard deviation based on a set of data points. The deviations from the mean are computed for each data point and squared to assess the variance. The resulting figures will aid in evaluating the precision and accuracy of the measurements taken using different methods.
Expert Solution
Step 1
We are given all data points, and we have to find the mean and standard for each set of data.
Mean value is calculated by adding all the data points and dividing the "sum" by the number of data points.
Standard deviation is calculated using the below formula:
where m = mean
n = number of data points.
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