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### High School Mathematics - 211.9 Normal and Skewed Distributions

 Normal and skewed distributions: The probability distributions we studied so far are discrete probability distributions because they have only a finite number of possible values. A discrete probability distribution can be represented by a histogram. For a continuous probability distribution, the outcome can be any value in an interval of real numbers. Continuous probability distributions are represented by curves instead of histograms. Such curves are often called a bell curve. Many distributions with symmetric curves or histograms are normal distributions. In normal distributions scores are more concentrated in the middle than in the tails. A curve or histogram that is not symmetric represents a skewed distribution. Positive skew: The right tail is longer and the mass of the distribution is concentrated on the left of the figure. The distribution is said to be right-skewed. Negative skew: The left tail is longer and the mass of the distribution is concentrated on the right of the figure. The distribution is said to be left-skewed.
 Q 1: Distributions that are symmetric are called _________ distributions.Answer: Q 2: Determine whether the data 14, 15, 11, 13, 13, 14, 15, 14, 12, 13, 14, 15 appear to be positively skewed, negatively skewed, or normal distributed.Answer: Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!