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AP Statistics: Section 2.2 A

AP Statistics: Section 2.2 A. One particularly important class of density curves are Normal curves which describe Normal distributions. Normal curves are _________, _____________, and __________. All Normal distributions have this same overall shape. s ingle-peaked. symmetric.

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AP Statistics: Section 2.2 A

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  1. AP Statistics: Section 2.2 A

  2. One particularly important class of density curves are Normal curves which describe Normal distributions. Normal curves are _________, _____________, and __________. All Normal distributions have this same overall shape. single-peaked symmetric bell-shaped

  3. The density curve for a Normal distribution is described by giving its mean ____ (pronounced m-yew) and standard deviation ____ (lower case sigma). The mean is located at the ________________ and is equal to the _______. center of the curve median

  4. Changing µ moves the Normal curve __________ without changing its spread. The standard deviation, σ, controls the spread of the Normal curve. left or right

  5. BCDA

  6. We can locate by eye on the curve. As we move out in either direction from the center , the curve changes from concave down (like a ______ ) to concave up (like a ____ ). In advanced math courses, this point is called the _________________. frown cup point of inflection

  7. Normal distributions are important in statistics because:

  8. 1. Normal distributions are good descriptions for some distributions of ________. Examples: scores on test taken by many people, like the __________; repeated careful measurements of the same quantity and characteristics of biological populations, such as ____________ and __________________. real data SAT or ACT yields of corn lengths of pregnancies

  9. 2. Normal distributions are good approximations to the results of some ________________. Examples: the sum of the dots showing on 2 dice; the number of correct answers when guessing on a T/F or multiple choice test chance outcomes

  10. 3. Many statistical inferences based on Normal distributions work well for other roughly symmetric distributions. Caution: Many sets of data DO NOT follow a Normal distribution.Example: personal income is strongly right-skewed

  11. The 68-95-99.7 Rule (or Empirical Rule)In the Normal distribution with mean and standard deviation :approximately ________ of the observations fall within _______ of the mean .approximately ________ of the observations fall within _______ of the mean .approximately ________ of the observations fall within _______ of the mean .

  12. 95% of the women’s heights lie between _______________ and _______________

  13. What percent of women aged 18 – 24, are between 62 and 67 inches tall? ______________

  14. A woman aged 18 – 24, who is 72 inches tall is at what percentile? _______

  15. A woman aged 18 – 24, who is 72 inches tall is at what percentile? _______

  16. A woman aged 18 – 24, who is 72 inches tall is at what percentile? _______

  17. A woman aged 18 – 24, who is 72 inches tall is at what percentile? _______

  18. The notation for the Normal distribution is . For example 3, thenotation is __________.

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