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Probability & Statistics

Probability & Statistics. For 4 th Grade Math Club Cherry Crest Elementary School Bellevue, WA. Oct . 28, 2014. What is Probability?. The extent to which an event is likely to occur. Measured by the ratio of the favorable cases to the whole number of cases possible.

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Probability & Statistics

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  1. Probability & Statistics For 4thGrade Math Club Cherry Crest Elementary School Bellevue, WA Oct. 28, 2014

  2. What is Probability? • The extent to which an event is likely to occur. Measured by the ratio of the favorable cases to the whole number of cases possible. 0 <=Probability <=1 0<=Possibility <= 1

  3. P(A)

  4. What exactly does probability mean???? T expectto get 1 time of ‘3’. expectto get 5 times of ‘3’. expect to get 100 times of ‘3’. The more times your throw, the results => the probability

  5. P(A) 52 cards, 4 suits Red: Hearts and Diamonds Black: Clubs and Spades 13 cards: A.2.3.4.5.6.7,8,9,10,J.Q.K P(head) + P(tail) = 1 P(1)+P(2)+P(3)+P(4)+P(5)+P(6) = 1 = 1 Sum of all possibilities of one event = 1 0<=Possibility <= 1

  6. Question #1 (2013 AMC8 question #8) P(A) ?

  7. Question #1 (2013 AMC8 question #8) ? = 8 = 2x2x2

  8. Question #2 (2013 AMC8 question #14) Abe and Bean each randomly picks a jelly bean to show the other. What is probability that the color match? P(A) Abe Bean = 4, 6, or 8? 8

  9. Question #3 (2007 AMC8 question #21) Two cards are dealt from a deck of four red card labeled A, B, C, and D and four green cards labeled A, B, C, D. A winning pair is two of the same color or two of the same letter. What is the probability of drawing a winning pair? P(A) A A B B 7x8/2 = 28 ? C C 4x3/2x2 + 4 = 16 D D

  10. Statistics Mean, Median, Mode, Range {2, 2, 6, 9, 3, 4, 5} Mean: average (2+2+6+9+3+4+5)/7 = 31/7 Mode:Most common number {2, 2, 3, 4, 5, 6, 9} 2 could have more than one mode Median: the middle value when all values in order {2, 2, 3, 4, 5, 6, 9} 4 or average of two numbers Range: difference between lowest and highest 9- 2 = 7

  11. Question #4 (2012 AMC8 question #7) Isabella takes 4 100-points tests. Her goal is to achieve average of 95. Her first two test scores were 97 and 91. To reach her goal, what is the lowest possible score she could have made on the third test? 97 + 91 + + = 95x4 lowest highest =100 = 95x4 – 97 -91 – 100 = 92 x

  12. Question #5 (2012 AMC8 question #11) The mean, median, and unique mode of the positive integers 3, 4, 5, 6, 6, 7, and x are all equal. What is the value of x? 3, 4, 5, 6, 6, 7 Two possible medians (3+4+5+6+6+7+x)/7 = 5 or 6 31+x = 5x7 or 31 + x = 6x7 x= 4 or x = 11 , which one is the right answer?

  13. Question #6 (2012 AMC8 question #22) Let R be a set of nine distinct integers. Six of the elements are 2, 3, 4, 6, 9, and 14. What is the number of possible values of the median of R? A. 4, B. 5, C. 6, D.7, E. 8 2, 3, 4, 6, 9, 14 -2, -1, 0, 2, 3, 4, 6, 9, 14 -2, 0, 2, 3, 4, 6, 9, 14, 15 D.7

  14. Tests 10 mintues

  15. Summary Sum of all possibilities of one event = 1 0<=Possibility <= 1 P(A) Mean, Median, Mode, Range Math is Fun!

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