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Calculate the standard deviation by filling-in the missing information below. (X-M) M- 5²- S- .2 2 14 SS- (X-M)²

Calculate the standard deviation by filling-in the missing information below. (X-M) M- 5²- S- .2 2 14 SS- (X-M)²

MATLAB: An Introduction with Applications
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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### Calculating Standard Deviation To calculate the standard deviation, follow these steps and fill in the missing information in the provided table: #### Data Table | X | (X - M) | (X - M)² | |----|-----------|-----------| | 2 | _________ | _________ | | 2 | _________ | _________ | | 14 | _________ | _________ | - **M = __** - **SS = __** #### Calculation Steps 1. **Calculate the Mean (M)** - The mean (M) is calculated by summing all the values in the X column and dividing by the number of values. 2. **Calculate the Deviations (X - M)** - For each value in the X column, subtract the mean (M) to find the deviation. 3. **Calculate the Squared Deviations ((X - M)²)** - Square each deviation. 4. **Sum of Squared Deviations (SS)** - Sum all the squared deviations to get the total sum of squares (SS). 5. **Variance (s²)** - Variance is calculated by dividing the sum of the squared deviations (SS) by the number of values minus one (N-1). 6. **Standard Deviation (s)** - Standard deviation is the square root of the variance (s²). #### Missing Information 1. **Mean (M):** - Fill in the mean value after calculating. 2. **Deviations (X - M):** - Calculate and fill in each (X - M) value. 3. **Squared Deviations ((X - M)²):** - Calculate and fill in each (X - M)² value. 4. **Sum of Squares (SS):** - Calculate and fill in the total sum of squared deviations. 5. **Variance (s²):** - Calculate and fill in the variance. 6. **Standard Deviation (s):** - Calculate and fill in the standard deviation. By following these steps and filling in the table, you will be able to determine the standard deviation for the data set provided.
Transcribed Image Text:### Calculating Standard Deviation To calculate the standard deviation, follow these steps and fill in the missing information in the provided table: #### Data Table | X | (X - M) | (X - M)² | |----|-----------|-----------| | 2 | _________ | _________ | | 2 | _________ | _________ | | 14 | _________ | _________ | - **M = __** - **SS = __** #### Calculation Steps 1. **Calculate the Mean (M)** - The mean (M) is calculated by summing all the values in the X column and dividing by the number of values. 2. **Calculate the Deviations (X - M)** - For each value in the X column, subtract the mean (M) to find the deviation. 3. **Calculate the Squared Deviations ((X - M)²)** - Square each deviation. 4. **Sum of Squared Deviations (SS)** - Sum all the squared deviations to get the total sum of squares (SS). 5. **Variance (s²)** - Variance is calculated by dividing the sum of the squared deviations (SS) by the number of values minus one (N-1). 6. **Standard Deviation (s)** - Standard deviation is the square root of the variance (s²). #### Missing Information 1. **Mean (M):** - Fill in the mean value after calculating. 2. **Deviations (X - M):** - Calculate and fill in each (X - M) value. 3. **Squared Deviations ((X - M)²):** - Calculate and fill in each (X - M)² value. 4. **Sum of Squares (SS):** - Calculate and fill in the total sum of squared deviations. 5. **Variance (s²):** - Calculate and fill in the variance. 6. **Standard Deviation (s):** - Calculate and fill in the standard deviation. By following these steps and filling in the table, you will be able to determine the standard deviation for the data set provided.
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