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d. Which of the measures of variation computed in parts a-c have the same units of measure (number of sword shafts) as the original variable?

d. Which of the measures of variation computed in parts a-c have the same units of measure (number of sword shafts) as the original variable?

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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Need help with part d.

### Shaft Graves in Ancient Greece Refer to the *American Journal of Archaeology* (Jan. 2014) study of sword shaft graves in ancient Greece, Exercise 2.60 (p. 61). The number of sword shafts buried at each of 13 recently discovered grave sites is reproduced in the following table. #### Number of Sword Shafts at Each Grave Site: | 1 | 2 | 1 | 1 | 3 | 5 | 6 | 2 | 2 | 1 | 2 | 4 | 9 | Source: Harrell, K. "The fallen and their swords: A new explanation for the rise of the shaft graves." *American Journal of Archaeology*, Vol. 118, No. 1, January 2014 (Figure 1). #### Exercises: a. Calculate the range of the sample data. b. Calculate the variance of the sample data. c. Calculate the standard deviation of the sample data. d. Which of the measures of variation computed in parts a-c have the same units of measure (number of sword shafts) as the original variable? ### Explanation: - **Range**: The range of a dataset is the difference between the highest and lowest values. - **Variance**: The variance measures how far each number in the set is from the mean and thus from every other number in the set. - **Standard Deviation**: The standard deviation is a measure of the amount of variation or dispersion of a set of values. It has the same units as the original data. - **Discussion on Units**: Understanding which statistical measures maintain the same units as the original data is crucial for interpreting results correctly.
Transcribed Image Text:### Shaft Graves in Ancient Greece Refer to the *American Journal of Archaeology* (Jan. 2014) study of sword shaft graves in ancient Greece, Exercise 2.60 (p. 61). The number of sword shafts buried at each of 13 recently discovered grave sites is reproduced in the following table. #### Number of Sword Shafts at Each Grave Site: | 1 | 2 | 1 | 1 | 3 | 5 | 6 | 2 | 2 | 1 | 2 | 4 | 9 | Source: Harrell, K. "The fallen and their swords: A new explanation for the rise of the shaft graves." *American Journal of Archaeology*, Vol. 118, No. 1, January 2014 (Figure 1). #### Exercises: a. Calculate the range of the sample data. b. Calculate the variance of the sample data. c. Calculate the standard deviation of the sample data. d. Which of the measures of variation computed in parts a-c have the same units of measure (number of sword shafts) as the original variable? ### Explanation: - **Range**: The range of a dataset is the difference between the highest and lowest values. - **Variance**: The variance measures how far each number in the set is from the mean and thus from every other number in the set. - **Standard Deviation**: The standard deviation is a measure of the amount of variation or dispersion of a set of values. It has the same units as the original data. - **Discussion on Units**: Understanding which statistical measures maintain the same units as the original data is crucial for interpreting results correctly.
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