Unit 2-4

Unit 2-4 - Density Curves Can be created by smoothing...

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Density Curves Can be created by smoothing histograms ALWAYS on or above the horizontal axis Has an area of exactly one underneath it Describes the proportion of observations that fall within a range of values Is often a description of the overall distribution Uses μ & σ to represent the mean & standard deviation
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z score Standardized score Creates the standard normal density curve Has μ = 0 & σ = 1 σ μ - = x z
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What do these z scores mean? -2.3 1.8 6.1 -4.3 2.3 σ below the mean 1.8 σ above the mean 6.1 σ above the mean 4.3 σ below the mean
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Landfill. He must take a test to see if he is qualified for the job. The test has a normal distribution with μ = 45 and σ = 3.6. In order to qualify for the job, a person can not score lower than 2.5 standard deviations below the mean. Jonathan scores 35 on this test. Does he get the job? No, he scored 2.78 SD below the mean
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Unit 2-4 - Density Curves Can be created by smoothing...

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