Stats 10

  1. What is the normal distribution?
    • A family of curves, each defined by the standard deviation and mean (σ+µ)
    • The differences are measured as standard deviations
  2. Why do the measures of central tendency all have the same value on the normal distribution?
    • It is symmetrical, no matter the parameters, the normal distribution preserves its perfect bell shape
    • Different variances make it wider, different means make it shift in their direction
  3. What is the standard normal distribution?
    • A type of standard distribution curve with a mean of 0
    • Values on this curve are known as z scores
  4. What is suggested by the central limit theorem?
    Many naturally occurring variables will tend to fall close to the normal distribution
  5. How might one use a normal distribution curve to find the probability of an eventuality over a specific point?
    Draw a vertical line on the curve at the point
  6. Give the equation for converting a normal score into a z score
    • Image Upload 1
    • This is the same formula for generating standard scores
  7. What are scores to the right and to the left of the z score referred to as?
    • P(z) for right 
    • 1-P(z) for left
  8. How might one find the area between two values?
    • Find the score for the highest value given
    • Find the score for the lowest value given 
    • Minus one by the other 
    • Eg:
    • P(z<+.67)=.749
    • P(z< -.67)=.251
    • P(-.67<z<+.67)=.749-.251=.498
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Stats 10
BSc Stats