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Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1= smooth-yellow, 2= smooth-green 3= wrinkled yellow, and 4 = wrinkled-green. 1 2 2 2 4 2 3 2 2 2 2 3 2 2 2 2 2 2 2 2 D Can the range of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. The range of the sample data is. (Type an integer or a decimal. Do not round.) O B. The range of the sample data cannot be calculated. Can the standard deviation of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. The standard deviation of the sample data is. (Round to one decimal place as needed.) O B. The standard deviation of the sample data cannot be calculated. Can the variance of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. The variance of the sample data is (Round to one decimal place as needed.) O B. The variance of the sample data cannot be calculated. Do the results make sense? O A. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful. O B. The measures of variation do not make sense because the standard deviation cannot be greater than the variance. Next

Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1= smooth-yellow, 2= smooth-green 3= wrinkled yellow, and 4 = wrinkled-green. 1 2 2 2 4 2 3 2 2 2 2 3 2 2 2 2 2 2 2 2 D Can the range of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. The range of the sample data is. (Type an integer or a decimal. Do not round.) O B. The range of the sample data cannot be calculated. Can the standard deviation of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. The standard deviation of the sample data is. (Round to one decimal place as needed.) O B. The standard deviation of the sample data cannot be calculated. Can the variance of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. O A. The variance of the sample data is (Round to one decimal place as needed.) O B. The variance of the sample data cannot be calculated. Do the results make sense? O A. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful. O B. The measures of variation do not make sense because the standard deviation cannot be greater than the variance. Next

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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**Title: Calculating Range, Variance, and Standard Deviation of Sample Data** **Introduction:** Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Phenotype codes are used for analysis, where: - 1 = smooth-yellow - 2 = smooth-green - 3 = wrinkled yellow - 4 = wrinkled-green **Phenotype Data Sample:** 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 **Questions:** 1. **Can the range of the sample data be obtained for these values?** - A. The range of the sample data is ___. - B. The range of the sample data cannot be calculated. 2. **Can the standard deviation of the sample data be obtained for these values?** - A. The standard deviation of the sample data is ___. - B. The standard deviation of the sample data cannot be calculated. 3. **Can the variance of the sample data be obtained for these values?** - A. The variance of the sample data is ___. - B. The variance of the sample data cannot be calculated. 4. **Do the results make sense?** - A. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful. - B. The measures of variation do not make sense because the standard deviation cannot be greater than the variance. **Conclusion:** Students are expected to calculate the range, variance, and standard deviation and decide if the results are meaningful based on the given data set and phenotype codes.
Transcribed Image Text:**Title: Calculating Range, Variance, and Standard Deviation of Sample Data** **Introduction:** Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Phenotype codes are used for analysis, where: - 1 = smooth-yellow - 2 = smooth-green - 3 = wrinkled yellow - 4 = wrinkled-green **Phenotype Data Sample:** 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 **Questions:** 1. **Can the range of the sample data be obtained for these values?** - A. The range of the sample data is ___. - B. The range of the sample data cannot be calculated. 2. **Can the standard deviation of the sample data be obtained for these values?** - A. The standard deviation of the sample data is ___. - B. The standard deviation of the sample data cannot be calculated. 3. **Can the variance of the sample data be obtained for these values?** - A. The variance of the sample data is ___. - B. The variance of the sample data cannot be calculated. 4. **Do the results make sense?** - A. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful. - B. The measures of variation do not make sense because the standard deviation cannot be greater than the variance. **Conclusion:** Students are expected to calculate the range, variance, and standard deviation and decide if the results are meaningful based on the given data set and phenotype codes.
**Do the results make sense?** A. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful. B. The measures of variation do not make sense because the standard deviation cannot be greater than the variance. C. It makes sense that the measures of variation cannot be calculated because there is not a large enough sample size to calculate the measures of variation. D. While the measures of variation can be found, they do not make sense because the data are nominal; they don't measure or count anything.
Transcribed Image Text:**Do the results make sense?** A. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful. B. The measures of variation do not make sense because the standard deviation cannot be greater than the variance. C. It makes sense that the measures of variation cannot be calculated because there is not a large enough sample size to calculate the measures of variation. D. While the measures of variation can be found, they do not make sense because the data are nominal; they don't measure or count anything.
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