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12. | Critical Thinking: Outliers One indicator of an outlier is that an observa- tion is more than 2.5 standard deviations from the mean. Consider the data value 80. (a) If a data set has mean 70 and standard deviation 5, is 80 a suspect out- lier? (b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier?

12. | Critical Thinking: Outliers One indicator of an outlier is that an observa- tion is more than 2.5 standard deviations from the mean. Consider the data value 80. (a) If a data set has mean 70 and standard deviation 5, is 80 a suspect out- lier? (b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 8Q
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Please answer number 12. Make sure to show work!! Answer quickly, thx!
### 12. Critical Thinking: Outliers One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 80. (a) If a data set has mean 70 and standard deviation 5, is 80 a suspect outlier? (b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier? ### 13. Basic Computation: Variance, Standard Deviation Given the sample data: \[ x: \quad 23 \quad 17 \quad 15 \quad 30 \quad 25 \] (a) Find the range. (b) Verify that \(\sum x = 110\) and \(\sum x^2 = 2568\). (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance \( s^2 \) and sample standard deviation \( s \). (d) Use the defining formulas to compute the sample variance \( s^2 \) and sample standard deviation \( s \). (e) Suppose the given data comprise the entire population of all \( x \) values. Compute the population variance \( \sigma^2 \) and population standard deviation \( \sigma \).
Transcribed Image Text:### 12. Critical Thinking: Outliers One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 80. (a) If a data set has mean 70 and standard deviation 5, is 80 a suspect outlier? (b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier? ### 13. Basic Computation: Variance, Standard Deviation Given the sample data: \[ x: \quad 23 \quad 17 \quad 15 \quad 30 \quad 25 \] (a) Find the range. (b) Verify that \(\sum x = 110\) and \(\sum x^2 = 2568\). (c) Use the results of part (b) and appropriate computation formulas to compute the sample variance \( s^2 \) and sample standard deviation \( s \). (d) Use the defining formulas to compute the sample variance \( s^2 \) and sample standard deviation \( s \). (e) Suppose the given data comprise the entire population of all \( x \) values. Compute the population variance \( \sigma^2 \) and population standard deviation \( \sigma \).
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