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…