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Sample vs Population comparing mean and standard deviations MM2D1d Compare the means and standard deviations of random samples with the corresponding population parameters, including those population parameters for normal distributions. Observe that the different sample means vary from one sample to the next. Observe that the distribution of the sample means has less variability than the population distribution. Sample vs Population Means and Standard Deviations Let’s watch… http://www.onlinemathlearning.com/popula tion-mean.html Sample vs. Population Sample mean- average of the sample taken Population mean-average of everything (given, not calculated) Sample vs. Population Random 1 Mean-5.3 The sample means are higher than the population mean. Standard Deviation-2.44 Random 2 Mean-5 Standard Deviation-2.58 The sample standard deviations are lower than the population standard deviation. Sample vs. Population For a large population, the mean is 13.7 and the standard deviation is about 8.9. Compare the mean and standard deviation of the random sample to the population parameters. 19, 8, 12, 17, 16, 25, 5, 18, 21, 7 Mean-14.8 Standard Deviation-6.23 The mean is larger and the standard deviation is smaller. Sample vs. Population Pgae 275 (1-11)