1. Statistics

2. Entering numeric data On your iclicker. You will be told when a numeric input is required Press blue button to change mode. Use the “up and down” arrow keys at the top to increase or decrease the number. Use the “left and right” arrow keys to move the cursor. Press “send” when you have entered the desired answer.

3. Trial run Starting now, enter a number in your head between 0 and 99. Press send when you are done.

4. Clicker question Enter your height to the nearest inch. For example if your height is 5’10” then enter 70 since

5. Clicker Q version 2 Enter which range your height falls in: A) B) C) D) E)

6. What does the mean mean? Numbers their mean value is their sum divided by N,

7. What is the mean height of an American presidentWhat is the mean height of an American president? X: a president’s height. Its values are: 64,66,66,67,67,67,68,68,68,68,68.5,69,69,69.5,70,70,70,70,70.5, 71,71,71,71,71.5,72,72,72,72,72,72,72,72,73,73,74,74,74,74,74. 5,74.5,75,76 N=42 Mean =(64+2x66+3x67+4x68+68.5+2x69+69.5+5x70+70.5+4x71 +71.5+8x72+2x73+4x74+2x74.5+75+76)/42= 70.69

8. HeightPresidentHeightPresident 5ft4James Madison5ft11George W. Bush Grover Cleveland Herbert Hoover Woodrow Wilson 5ft6Benjamin Harrison Martin Van Buren 5ft11.5Richard Nixon 5ft7John Quincy Adams John Adams William McKinley 6ftJames Buchanan Gerald R. Ford James Garfield Warren Harding John F. Kennedy James Monroe William H. Taft John Tyler 5ft8Ulysses S. Grant William H. Harrison James Polk Zachary Taylor 6ft1Andrew Jackson Ronald Reagan 5ft8.5Rutherford Hayes6ft2Chester Arthur George Bush Franklin D. Roosevelt George Washington 5ft9Millard Fillmore Harry S. Truman 6ft2.5Bill Clinton Thomas Jefferson 5ft9.5Jimmy Carter6ft3Lyndon B. Johnson 5ft10Calvin Coolidge Andrew Johnson Franklin Pierce Theodore Roosevelt 6ft4Abraham Lincoln 5ft10.5Dwight D. Eisenhower

9. What does the mean miss? Average height of a human, on average, has increased with time. Data collected over a long period of time can exhibit a trend. A process that is used to represent evolution of some random value over a period of time is called a stochastic process.

10. Histogram of president heights

11. Histogram of midterm scores

12. Histogram of household incomes

13. President heights vs time

14. Other time-dependent statistics: sex ratio

15. 2012 Olympian heights

16. The mean is not always representative of a typical value.

17. Household income in the United States

18. What does the median mean? Given numbers x 1,…, x N their MEDIAN is the number that is less than half the numbers and greater than half the numbers. If there is an even number of samples, the mean is usually the average of the two middle values. What is the median height for a U.S. president?

19. Clicker question: what is the median height of the first 42 us presidents? A68 B73 C71 D76

20. Mean and median household incomes Compute the mean household income based on the data above Compute the median based on the data above.

21. Variance The variance of numbers x 1,…, x N is the sum of the squares of their differences from their mean, divided by N-1. The sample deviation is the square root of the variance.

23. Which olympian are you most like?

24. Covariance Covariance is a measure of how much two variables vary together.

26. Body mass index

27. Formula for BMI

28. Clicker question What is your BMI (round to the nearest whole number). Enter as numerical input.

29. The case of Jackie Jeschelnig

30. Height: 5'9" (175 cm) Olympic Weight: 203 lbs (92 kg) BMI=92/(1.75)^2 =30.04

31. BMI is correlated with body fat

32. Are tall people smarter? How tall is Randy Newman?

33. why?

34. Other controversial correlations: height and intelligence and pay Height and intelligence Why are tall people smarter? Height and income Height, income and intelligence Best revenge is living long

35. Health statistics The Centers for Disease Control web site has a lot of data on various health statistics for the U.S. Example: Is obesity a problem in the U.S.?

36. Exercises Compute the average height, average weight, median height, median weight, variance of the heights, and variance of the weights from the following data taken from the following source Heights and weights data

37. Index Height X (Inches) Weight Y(Pounds) BMI Z 165.78112.99 271.52136.49 369.40153.03 468.22142.34 567.79144.30 668.70123.30 769.80141.49 870.01136.46 967.90112.37 1066.78120.67 Mean height: Height SD: Mean weight: Weight SD:Mean BMIBMI SD Names:__________ ___________ __________

38. Exercise 2 For each individual in the previous table, compute the BMI of that individual.

39. Exercise 3 For each of the Olympic athletes in the following table taken from fatchic compute the athlete’s BMI.fatchic What are the average heights and weights for the athletes? What is the variance in heights and weights of these athletes?

40. NameSportCountryHeightWeight NameSportCountryHeightWeight Khalil Mahmoud K Abir Abdelrahman WeightliftingEgypt5 ft 4 in165 lbs Esmat AhmedWeightliftingEgypt5 ft 5 in152 lbs Marie-Eve Beauchemin- Nadeau WeightliftingCanada5 ft 5 in152 lbs Maria AbakumovaJavelin ThrowRussian Federation5 ft 10 in187 lbs Neide BarbosaHandballAngola5 ft 10 in172 lbs Marthe KoalaWomen's 100 M HurdlesBurkina Faso5 ft 9 in150 lbs Amanda Bingson Women's Hammer Throw USA5 ft 5 in201 lbs Jillian Camarena- Williams Women's Shot PutUSA5 ft 10 in249 lbs Nina Kamto NjitamHandballFrance5 ft 10 in163 lbs Delphine ReauShootingFrance5 ft 7 in159 lbs