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(Larsen and Marx, 2001) Creativity, as many studies have shown, is very much a province of the young. Whether the focus is music, literature, science, or mathematics, an individual's best work seldom occurs late in life. Einstein, for example, made his most profound discoveries at the age of 26; Newton, at the age of 23. The following are 12 scientific breakthroughs dating from the middle of the sixteenth century to the early years of the twentieth century. All represent high-water marks in the careers of the scientists involved. Discovery Earth goes around sun Telescope, basic laws of astronomy Principles of motion, gravitation, calculus Nature of electricity Burning is uniting with oxygen Earth evolved by gradual processes Evidence for natural selection controlling evolution Field equations for light Discoverer Copernicus Galileo Newton Franklin Lavoisier Lyell Darwin Maxwell Curie Planck Einstein Year 1543 1600 1665 1746 1774 1830 1858 Age 40 34 23 40 31 33 49 1864 33 1896 34 1901 43 1905 26 Schrödinger 1926 39 Radioactivity Quantum theory Special theory of relativity, E = mc² Mathematical foundations for quantum theory a. What is the average age in this sample of scientists? b. What is the standard deviation of age in this sample of scientists? c. What is your best estimate of the mean age at which scientists do their best work?

(Larsen and Marx, 2001) Creativity, as many studies have shown, is very much a province of the young. Whether the focus is music, literature, science, or mathematics, an individual's best work seldom occurs late in life. Einstein, for example, made his most profound discoveries at the age of 26; Newton, at the age of 23. The following are 12 scientific breakthroughs dating from the middle of the sixteenth century to the early years of the twentieth century. All represent high-water marks in the careers of the scientists involved. Discovery Earth goes around sun Telescope, basic laws of astronomy Principles of motion, gravitation, calculus Nature of electricity Burning is uniting with oxygen Earth evolved by gradual processes Evidence for natural selection controlling evolution Field equations for light Discoverer Copernicus Galileo Newton Franklin Lavoisier Lyell Darwin Maxwell Curie Planck Einstein Year 1543 1600 1665 1746 1774 1830 1858 Age 40 34 23 40 31 33 49 1864 33 1896 34 1901 43 1905 26 Schrödinger 1926 39 Radioactivity Quantum theory Special theory of relativity, E = mc² Mathematical foundations for quantum theory a. What is the average age in this sample of scientists? b. What is the standard deviation of age in this sample of scientists? c. What is your best estimate of the mean age at which scientists do their best work?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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(Larsen and Marx, 2001) Creativity, as many studies have shown, is very much a province of the young. Whether the focus is music, literature, science, or mathematics, an individual's best work seldom occurs late in life. Einstein, for example, made his most profound discoveries at the age of 26; Newton, at the age of 23. The following are 12 scientific breakthroughs dating from the middle of the sixteenth century to the early years of the twentieth century. All represent high-water marks in the careers of the scientists involved. Discovery Earth goes around sun Telescope, basic laws of astronomy Principles of motion, gravitation, calculus Nature of electricity Burning is uniting with oxygen Earth evolved by gradual processes Evidence for natural selection controlling evolution Field equations for light Discoverer Year Copernicus 1543 Galileo 1600 Newton Franklin Lavoisier Lyell Darwin Maxwell 1665 1746 1774 1830 1858 1864 1896 1901 1905 Schrödinger 1926 Curie Planck Einstein Age 40 34 23 40 31 33 49 33 34 43 26 39 Radioactivity Quantum theory Special theory of relativity, E = mc² Mathematical foundations for quantum theory a. What is the average age in this sample of scientists? b. What is the standard deviation of age in this sample of scientists? C. What is your best estimate of the mean age at which scientists do their best work?
Transcribed Image Text:(Larsen and Marx, 2001) Creativity, as many studies have shown, is very much a province of the young. Whether the focus is music, literature, science, or mathematics, an individual's best work seldom occurs late in life. Einstein, for example, made his most profound discoveries at the age of 26; Newton, at the age of 23. The following are 12 scientific breakthroughs dating from the middle of the sixteenth century to the early years of the twentieth century. All represent high-water marks in the careers of the scientists involved. Discovery Earth goes around sun Telescope, basic laws of astronomy Principles of motion, gravitation, calculus Nature of electricity Burning is uniting with oxygen Earth evolved by gradual processes Evidence for natural selection controlling evolution Field equations for light Discoverer Year Copernicus 1543 Galileo 1600 Newton Franklin Lavoisier Lyell Darwin Maxwell 1665 1746 1774 1830 1858 1864 1896 1901 1905 Schrödinger 1926 Curie Planck Einstein Age 40 34 23 40 31 33 49 33 34 43 26 39 Radioactivity Quantum theory Special theory of relativity, E = mc² Mathematical foundations for quantum theory a. What is the average age in this sample of scientists? b. What is the standard deviation of age in this sample of scientists? C. What is your best estimate of the mean age at which scientists do their best work?
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