Standard Deviation Lecture 18 Section 5 3 4 Robb T Koether Hampden Sydney College Mon Feb 15 2010 Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 1 45 Outline 1 Homework Review 2 Variability 3 The Standard Deviation Examples Alternate Formula 4 TI 83 Standard Deviations 5 Assignment 6 Answers to Even numbered Exercises Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 2 45 Outline 1 Homework Review 2 Variability 3 The Standard Deviation Examples Alternate Formula 4 TI 83 Standard Deviations 5 Assignment 6 Answers to Even numbered Exercises Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 3 45 Exercise 5 12 page 333 The five number summary for the distribution of income in 1000s for the 200 households in your neighborhood is provided below 25 37 67 100 250 a Draw a basic boxplot for the income distribution in your neighborhood Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 4 45 Exercise 5 12 page 333 The five number summary for the distribution of income in 1000s for the 200 households in your neighborhood is provided below 25 37 67 100 250 a Draw a basic boxplot for the income distribution in your neighborhood First do not find a five number summary of these data Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 4 45 Exercise 5 12 page 333 The five number summary for the distribution of income in 1000s for the 200 households in your neighborhood is provided below 25 37 67 100 250 a Draw a basic boxplot for the income distribution in your neighborhood First do not find a five number summary of these data These numbers are the five number summary Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 4 45 Exercise 5 12 page 333 The five number summary for the distribution of income in 1000s for the 200 households in your neighborhood is provided below 25 37 67 100 250 a Draw a basic boxplot for the income distribution in your neighborhood First do not find a five number summary of these data These numbers are the five number summary 0 Robb T Koether Hampden Sydney College 50 100 150 Standard Deviation 200 250 Mon Feb 15 2010 4 45 Exercise 5 12 page 333 b Suppose that your household income is 56 000 What can you say about the percentage of households that have a higher income than you Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 5 45 Exercise 5 12 page 333 b Suppose that your household income is 56 000 What can you say about the percentage of households that have a higher income than you 56 000 is between the first quartile and the median so we can say that at least one quarter of the neighborhood but no more than half have a higher income Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 5 45 Exercise 5 12 page 333 b Suppose that your household income is 56 000 What can you say about the percentage of households that have a higher income than you 56 000 is between the first quartile and the median so we can say that at least one quarter of the neighborhood but no more than half have a higher income c If the lowest 25 of the households will be classified as poor what is the minimum household income that would lead to being classified as not poor Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 5 45 Exercise 5 12 page 333 b Suppose that your household income is 56 000 What can you say about the percentage of households that have a higher income than you 56 000 is between the first quartile and the median so we can say that at least one quarter of the neighborhood but no more than half have a higher income c If the lowest 25 of the households will be classified as poor what is the minimum household income that would lead to being classified as not poor You must have an income of at least 37 000 not to be classified as poor Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 5 45 Outline 1 Homework Review 2 Variability 3 The Standard Deviation Examples Alternate Formula 4 TI 83 Standard Deviations 5 Assignment 6 Answers to Even numbered Exercises Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 6 45 Variability Our ability to estimate a parameter accurately depends on the variability of the estimator Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 7 45 Variability Our ability to estimate a parameter accurately depends on the variability of the estimator That in turn depends on the variability that is inherent in the population Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 7 45 Variability Our ability to estimate a parameter accurately depends on the variability of the estimator That in turn depends on the variability that is inherent in the population The more variability in the population the more variable the estimator Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 7 45 Variability Our ability to estimate a parameter accurately depends on the variability of the estimator That in turn depends on the variability that is inherent in the population The more variability in the population the more variable the estimator What do we mean by variability in the population Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 7 45 Variability Our ability to estimate a parameter accurately depends on the variability of the estimator That in turn depends on the variability that is inherent in the population The more variability in the population the more variable the estimator What do we mean by variability in the population How do we measure it Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 7 45 An Example A person offers you 100 if you can predict the high temperature on March 15 2010 or on July 15 2010 to within 5 Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 8 45 An Example A person offers you 100 if you can predict the high temperature on March 15 2010 or on July 15 2010 to within 5 Your choice of dates Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 8 45 An Example A person offers you 100 if you can predict the high temperature on March 15 2010 or on July 15 2010 to within 5 Your choice of dates For which date should you choose to predict the high temperature Robb T Koether Hampden Sydney College Standard Deviation Mon Feb 15 2010 8 45 An Example A person offers
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