1 / 21

Statistics, Data Analysis, and Probability

Statistics, Data Analysis, and Probability. PS 1.1- Mean, Median, Mode Period 3, 5: 1/10/12 Period: 2, 4, 6: 1/11/12. Mode. Mode is the most frequently occurring number in a set. Example: For the set [3, 2, 8, 2, 4] The number that appears most often is 2, so 2 is the mode. Mode.

zack
Download Presentation

Statistics, Data Analysis, and Probability

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Statistics, Data Analysis, and Probability PS 1.1- Mean, Median, Mode Period 3, 5: 1/10/12 Period: 2, 4, 6: 1/11/12

  2. Mode • Mode is the most frequently occurring number in a set. Example: For the set [3, 2, 8, 2, 4] The number that appears most often is 2, so 2 is the mode.

  3. Mode Big Note: If there’s more than one number that appears most often, that’s okay. Some sets will have multiple modes. Example: For the set [3, 2, 8, 2, 4, 3] The numbers that appear most often are both 2 and 3, so the modes of this set are 2 and 3.

  4. continued…Mode • For the set [3, 2, 8, 4] Since no numbers appear more than any other numbers, there is no mode for this set.

  5. White Board CFU • The box below shows the number of kilowatt-hours of electricity used last month at each of the houses on Harris street. 620, 570, 570, 590, 560, 640, 590, 590, 580 What is the mode of this data?

  6. Mean • Mean is often referred to as the “average” of a set of numbers. • To find the mean, add up all the values, and divide the sum by the number of values in the set. MEAN= (sum of a group of numbers) (NUMBER of numbers in the group)

  7. Example In calculating mean… • If the values are 15, 45, and 33 • The sum is 15+45+33=93 • The number of numbers in the set is 3 • So 93÷3=31

  8. Whiteboard CFU Parisa’s four math test scores were 7, 8, 10, and 6. Hector’s test scores were 6, 7, 9, and 10. Charles’ test scores were 8, 10, 10, and 9. What is Hector’s mean score?

  9. Whiteboard CFU • Parisa’s four math test scores were 7, 8, 10, and 6. Hector’s test scores were 6, 7, 9, and 10. Charles’ test scores were 8, 10, 10, and 9. • Who had the highest mean?

  10. Median • Median is the middle number in an ordered set. • You must put the numbers in order. • In an even set of numbers, the median is the mean of the two middle terms.

  11. Example • For the set [3, 7, 8, 2, 4] These numbers aren’t in order, so place them in order: 2, 3, 4, 7, 8 The middle number is 4, so 4 is the median.

  12. Whiteboard CFU • Find the median for the following set [3, 7, 8, 2, 4, 6]

  13. ANSWER • 4 and 6 are both in the middle • The average of 4 and 6= 5, so the median of this set is 5.

  14. PS 1.2- Probability • Probability refers to the likelihood that a certain event will happen, such as flipping heads or tails on a coin, or pulling particular color of marble out of a bag.

  15. Probability The probability of an event occurring is always the number of DESIRED outcomes The TOTAL POSSIBLE outcomes

  16. Example For instance, if you had a bag of 75 marbles with the 15 yellow, 28 blue, 20 green, and 12 pink, what is the probability that you will select a yellow marble? the number of DESIRED outcomes= 15 = 1 the TOTAL POSSIBLE outcomes 75 5 So the probability of picking a yellow marble would be 1/5.

  17. Whiteboard CFU • If five green marbles are removed from the bag, what is the probability that you will select a green marble? • A yellow marble?

  18. BIG NOTE • Let’s say you flipped a coin ten times, and it came up heads every single time. What would be the probability that it came up heads on the eleventh flip? **Getting heads ten times in a row may be unlikely, but it doesn’t affect probability on the eleventh flip.

  19. WHITE BOARD CFU • A bucket contains 3 bottles of apple juice, 2 bottles of orange juice, 6 bottles of tomato juice, and 8 bottles of water. If Kira randomly selects a bottle, what is the probability that she will select a drink other than water?

  20. ANSWER • DESIRED outcomes= 11 • TOTAL POSSIBLE outcomes= 19 = 11 19

  21. Independent Practice PS 1.2 Note: 52 cards in deck, 4 suites 1) Drawing a 6 from a deck of cards? 2) Drawing a black card from a deck of cards? 3) Rolling an odd number on a die? 4) Drawing a 3 from a deck of cards? 5) Drawing a club from a deck of cards? 6) Rolling an even number on a die? 7) Rolling a 6 on a die? Independent Practice PS 1.1 Find mean, median, and mode 1) 18, 18, 15, 18, 18, 2) 94, 69, 84, 69, 90 3) 4, 18, 18, 23, 23, 19, 8, 4) 12, 15, 16, 17, 15, 17 5) 16, 3, 3, 3, 8, 24 6) 22, 5, 22, 13, 12, 24, 7) 23, 1, 1, 18, 1, 3, 18, 3 8) 23, 10, 2, 6, 10, 14, 1 Independent Practice

More Related