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DEVELOPING EXPERT VOICES Applied Math 40s 2007 CREATOR:   JENNIFER Question 2 : Statistics
STATISTICS:   Question 2 The following image is a standard normal curve with a range of z-values marked on it.  This standard normal curve also represents a normal distribution with a  mean of 52  and a  standard deviation of 6 , replace the z values with the raw scores.
STATISTICS:   Answer Q.2 You get these raw scores by multiplying the standard deviation  (in this case, 6) , to the first standard deviation, second standard deviation etc. Then you add that result to the mean, which in this case is 52.
STATISTICS:   Answer Q.2 Here is a better explanation, using numbers, and the actual procedure.   Since  1σ  is  6  and the mean is  52 … At  -1σ  the raw score is  46  since  52   – 6  =  46 At  +1σ  the raw score is  58  since  52   + 6  =  58 At  -2σ  the raw score is  40  since  52   – 2(6)  =  40 At  +2σ  the raw score is  64  since  52  + 2(6)  =  64 At  -3σ  the raw score is  34  since  52   – 3(6)  =  34 At  +3σ  the raw score is  70  since  52   + 3(6)  =  70 And so on…

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DEV3

  • 1. DEVELOPING EXPERT VOICES Applied Math 40s 2007 CREATOR: JENNIFER Question 2 : Statistics
  • 2. STATISTICS: Question 2 The following image is a standard normal curve with a range of z-values marked on it. This standard normal curve also represents a normal distribution with a mean of 52 and a standard deviation of 6 , replace the z values with the raw scores.
  • 3. STATISTICS: Answer Q.2 You get these raw scores by multiplying the standard deviation (in this case, 6) , to the first standard deviation, second standard deviation etc. Then you add that result to the mean, which in this case is 52.
  • 4. STATISTICS: Answer Q.2 Here is a better explanation, using numbers, and the actual procedure. Since 1σ is 6 and the mean is 52 … At -1σ the raw score is 46 since 52 – 6 = 46 At +1σ the raw score is 58 since 52 + 6 = 58 At -2σ the raw score is 40 since 52 – 2(6) = 40 At +2σ the raw score is 64 since 52 + 2(6) = 64 At -3σ the raw score is 34 since 52 – 3(6) = 34 At +3σ the raw score is 70 since 52 + 3(6) = 70 And so on…