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Sample vs Population comparing mean and standard deviations

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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 ... – PowerPoint PPT presentation

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Title: Sample vs Population comparing mean and standard deviations

1
Sample vs Populationcomparing 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.

2
Sample vs PopulationMeans and Standard Deviations
• Lets watch
• http//www.onlinemathlearning.com/population-mean.
html

3
Sample vs. Population
• Sample mean- average of the sample taken
• Population mean-average of everything (given, not
calculated)

4
Sample vs. Population
The sample means are higher than the population
mean. The sample standard deviations are lower
than the population standard deviation.
Random 1 Mean-5.3 Standard Deviation-2.44 Random
2 Mean-5 Standard Deviation-2.58
5
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.

6
Sample vs. Population
• Pgae 275 (1-11)