What are the characteristics of normal distribution What

What are the characteristics of normal distribution? What is standard deviation? Stats Day 2

What are the characteristics of normal distribution? What is standard deviation? PAGE 10

What are the characteristics of normal distribution? What is standard deviation? SAMPLE B: Enter Data into L 1 and frequency into L 2 STAT →CALC → 1 -VAR STATS Freq. List: L 2

What are the characteristics of normal distribution? What is standard deviation? SAMPLE B: DATA: Mean Sum of all data Number of data points Min Median Max

What are the characteristics of normal distribution? What is standard deviation?

What are the characteristics of normal distribution? What is standard deviation? Spread of data (distance from the mean) a lot of variation (data is spread out far from the center/MEAN) not much variation (data is close to the center/Mean) : no variation (all data is the same as the mean)

What are the characteristics of normal distribution? What is standard deviation? Sample A has a larger standard deviation because the data is more spread out.

What are the characteristics of normal distribution? What is standard deviation?

What are the characteristics of normal distribution? What is standard deviation? Symmetr ic 105

What are the characteristics of normal distribution? What is standard deviation? Center X-axis 100%

What are the characteristics of normal distribution? What is standard deviation? 68% 95% 99% SD = spread of the data (# to move away from the mean)

What are the characteristics of normal distribution? What is standard deviation? 99. 8% 95. 4% 68. 2% MEAN

What are the characteristics of normal distribution? What is standard deviation? 67% 72% 77% 82% 87% 92% 97%

What are the characteristics of normal distribution? What is standard deviation? PAGE 149. 7 and 14 196. 6 days 68. 2% of the products will last between 149. 7 – 196. 6 days 173. 3 – 23. 6 = 149. 7 173. 3 + 23. 6 = 196. 6 149. 7 173. 3 196. 6

What are the characteristics of normal distribution? What is standard deviation? 19. 3 20. 6 21. 9 23. 2 24. 5 25. 8 27. 1 b. ) Approximately 68% of male Labrador Retrievers have a height 21. 9 24. 5 between ____inches and _____inches 95 c. ) Approximately ______% of male Labrador Retrievers have a height between 20. 6 inches and 25. 8 inches

What are the characteristics of normal distribution? What is standard deviation? 2. ) The ages of 32 recruits in the police academy are normally distributed with a mean of 27 and a standard deviation of 2. Label the normal distribution curve, then answer the questions that follow. 27. 1 21 23 25 27 29 31 33

What are the characteristics of normal distribution? What is standard deviation? Equal halves a) What percent of the recruits are between the ages of 23 and 27? b. ) What is the probability a recruit chosen at random is at least 31 years old? c. ) Approximately what percentage of recruits at 27 years old or younger? d. )Approximately how many recruits are 27 years old or younger? (. 50)32 = 16 recruits

What are the characteristics of normal distribution? What is standard deviation? e. ) Approximately how many recruits are at most 29 years old?

PAGE 15 What are the characteristics of normal distribution? What is standard deviation? 95% is 2 S. D away from the mean 68% is 1 S. D away from the mean 85

What are the characteristics of normal distribution? What is standard deviation? 95. 4% is 2 S. D away from the mean

What are the characteristics of normal distribution? What is standard deviation? 68% is 1 S. D away from the mean 57 65 73 81 57 + 8 = 65 65 + 8 = 73

What are the characteristics of normal distribution? What is standard deviation? Stats Day 3

What are the characteristics of normal distribution? What is standard Warm Up: deviation?

What are the characteristics of normal distribution? What is standard deviation?

What are the characteristics of normal distribution? What is standard deviation? PAGE !9 Curve B because 9 > 5 Curve B because data is more spread out

What are the characteristics of normal distribution? What is standard deviation? Jan has the more unusual apple because it is further away from the mean. The further you are from the mean, the less data = 5 = 1 3 4 5 6 7 8 = 9 = 2 5 7 9 1 1 1 3

What are the characteristics of normal distribution? What is standard deviation?

What are the characteristics of normal distribution? What is standard deviation? Mean = 75 S. D = 4 Lower = 80 Upper = 85 Mean = 84 S. D = 2 Lower = 87 Upper = 90 0. 099 9. 944% Your score would fall between 87 and 90

What are the characteristics of normal distribution? What is standard deviation? Mean = 72. 1 S. D of= golfers 3. 3 10. 7% Mean = 70. 5 S. D of= golfers 1. 5 4. 8% scored better than 68 thisthe course 68 the on this course. In In on golf lower score better. The Links at the Shore his score of 68 was only bested by 4. 8% of golfers. (His score was better than 95. 2% of the golfers)

What are the characteristics of normal distribution? What is standard deviation? More impressive would be further away from the mean (below) Mean = 72. 1 The Links at S. D = 3. 3 he was 45. 2% 65. 568. 8 Mean = 70. 5 the Shore S. D = 1. 5 below the Mean which is more impressive than the other course where he was 39. 3% below the mean 72. 1 39. 3% separation between 68 and the Mean 67. 5 69 70. 5 45. 2% separation between 68 and the Mean

What are the characteristics of normal distribution? What is standard deviation? Lower = 225 Upper = 10000 Mean = 173. 3 S. D = 23. 6

What are the characteristics of normal distribution? What is standard deviation? 15 30 45 60 75 90 10 Salaries in thousands 5

What are the characteristics of normal distribution? What is standard deviation? Lower = -100, 000 Upper = 45, 000 Mean = 60, 000 S. D = 15, 000 Lower = 80, 000 Upper = 1, 000 Mean = 60, 000 S. D = 15, 000

What are the characteristics of normal distribution? What is standard deviation? Lower = 37 Upper = 44 Mean = 39. 7 S. D = 2. 3 Lower = -10, 000 Upper = 36 Mean = 39. 7 S. D = 2. 3

How do we calculate Margin of Error and Confidence Intervals? Stats Day 4

How do we calculate Margin of Error and Confidence Intervals? PAGE Warm Up: 25 1. ) June Lower = 85 Upper = 92 Mean = 82 S. D = 5 January Lower = Upper = Mean = 78 S. D = 3 72 75 78 81 84

How do we calculate Margin of Error and Confidence Intervals? PAGE Warm Up: 25 1. ) June Lower = 85 Upper = 92 Mean = 82 S. D = 5 2. )

How do we calculate Margin of Error and Confidence Intervals? Warm Up: 2. ) James Lower = 75 Upper = 80 Mean = 75 S. D = 4 Sarah Lower = 70 Upper = 75 Mean = 70 S. D = 8 Sarah's score was James score was 23. 4% away (above) 39. 4% away (above) from the mean James did better on the exam as his score was further away from the mean.

How do we calculate Margin of Error and Confidence Intervals? Warm Up: 2. ) James Lower = -10000 Upper = 80 Mean = 75 S. D = 4 Sarah Lower = -1000 Upper = 75 Mean = 70 S. D = 8 73. 4% of the 89. 4% of the students scored below a 75 on this below an 80 on this James did had a score exambetter on the exam as heexam that was better than 89. 4% of his classmates

How do we calculate Margin of Error and Confidence Intervals?

How do we calculate Margin of Error and Confidence Intervals? 95% about 95%

How do we calculate Margin of Error and Confidence Intervals? 95%

How do we calculate Margin of Error and Confidence Intervals? Mean = 36% Margin of Error = 4% 32% to 40% On election day Candidate A could have anywhere from 32% to 40% of the voters.

How do we calculate Margin of Error and Confidence Intervals? Decreases Smaller Large sample size means more accurate results

How do we calculate Margin of Error and Confidence Intervals? 95% Find 95% Confidence Mean = 7. 9 M. O. E = 1. 2 M. O. E = 2(0. 6) M. O. E = 1. 2 minutes Interval 6. 7 to 9. 1

How do we calculate Margin of Error and Confidence Intervals? Find 95% Confidence Interval Mean = 7. 9 M. O. E = 1. 2 6. 7 to 9. 1 minutes 95% of the data should fall between 6. 7 to 9. 1 minutes. 95% chance that a selected student from the sample falls between 6. 7 and 9. 1 minutes. 95% confident that the actual mean falls between 6. 7 and 9. 1 minutes.

How do we calculate Margin of Error and Confidence Intervals? Mean = 0. 55

How do we calculate Margin of Error and Confidence Intervals?

How do we calculate Margin of Error and Confidence Intervals? Mean = 0. 24 S. D = 0. 06 Find the M. O. E . 12 to. 36

How do we calculate Margin of Error and Confidence Intervals? If it falls within our confidence interval it is “likely” or “fair”

How do we calculate Margin of Error and Confidence Intervals?

How do we calculate Margin of Error and Confidence Intervals? Anne’s Results: P(heads) = 0. 73 P(Tails) = 0. 27 95% Confidence Interval 0. 397 to 0. 597 P(Heads) is outside our Range. Therefore coin

How do we calculate Margin of Error and Confidence Intervals?

How do we calculate Margin of Error and Confidence Intervals? 34% to 50% 95% Confidence Any percentage Interval inside our confidence interval is likely

How do we calculate Margin of Error and Confidence Intervals? 154. 805 to 123. 005 95% would be between 123 to 155 No, it does supports this claim since 125 falls within our 95%

How do we calculate Margin of Error and Confidence Intervals? 95% would be between 0. 47 to 0. 73 Yes because 50% or. 50 falls within our 95%

How do we calculate Margin of Error and Confidence Intervals? PAGE 33 #’s 3, 4, and 9 PLEASE HW from last night on DESK WARM UP:

How do we calculate Margin of Error and Confidence Intervals? WARM UP: PAGE 33 #’s 3, 4, and 9 Controlled Experiment: 1. Two groups (One with calculator and one without) 2. Shows a cause and effect relationship

How do we calculate Margin of Error and Confidence Intervals? WARM UP: PAGE 33 #’s 3, 4, and 9 Between 70. 86 and 74. 54

How do we calculate Margin of Error and Confidence Intervals? WARM UP: PAGE 33 #’s 3, 4, and 9