Basic Computation: Variance, Standard Deviation Given the sample data 15 30 25 23 (a) Find the range. (b) Verify that Ex = 110 and Ex² = 2568. (c) Use the results of part (b) and appropriate computation formulas to com- pute the sample variance s² and sample standard deviation s. X: 17

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Please answer number 13. Make sure to show work!! Thx!
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?
13.
(b) If a data set has mean 70 and standard deviation 3, is 80 a suspect
outlier?
Basic Computation: Variance, Standard Deviation Given the sample
data
15 30 25
23 17
(a) Find the range.
(b) Verify that Ex = 110 and Ex² = 2568.
X:
(c) Use the results of part (b) and appropriate computation formulas to com-
pute the sample variance s² and sample standard deviation s.
(d) Use the defining formulas to compute the sample variance s² and sample
standard deviation s.
(e) Suppose the given data comprise the entire population of all x
values. Compute the population variance o² and population standard
deviation o.
Transcribed Image Text: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? 13. (b) If a data set has mean 70 and standard deviation 3, is 80 a suspect outlier? Basic Computation: Variance, Standard Deviation Given the sample data 15 30 25 23 17 (a) Find the range. (b) Verify that Ex = 110 and Ex² = 2568. X: (c) Use the results of part (b) and appropriate computation formulas to com- pute the sample variance s² and sample standard deviation s. (d) Use the defining formulas to compute the sample variance s² and sample standard deviation s. (e) Suppose the given data comprise the entire population of all x values. Compute the population variance o² and population standard deviation o.
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