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Distribution of the sample mean | | UPV

Universitat Politècnica de València - UPV
381K subscribers
59K views 7 years ago #Sampling #sample #1209
Title: Distribution of the Sample Mean Description: Calculating the Mean and Standard Deviation of the Distribution of the Sample Mean. Camacho García, A. (2017). Distribution of the Sample Mean. http://hdl.handle.net/10251/82145 Automatic Description: In this video, the professor from the Polytechnic University of Valencia explains the distribution of the sample mean. He begins by differentiating between the population and the sample and shows how to calculate the mean and standard deviation of a random sample. Through a practical case, using six strips of cardboard of different lengths, he shows how to add the lengths and divide them by the number of strips to obtain the mean, and how to calculate the variance and then the standard deviation from it. He continues by taking a random sample of two strips to demonstrate the calculation of the mean and standard deviation of this subsample, highlighting the variability of the statistics dependin …...more
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Distribution of the sample mean | | UPV
647Likes
59,863Views
2017Oct 19
Title: Distribution of the Sample Mean Description: Calculating the Mean and Standard Deviation of the Distribution of the Sample Mean. Camacho García, A. (2017). Distribution of the Sample Mean. http://hdl.handle.net/10251/82145 Automatic Description: In this video, the professor from the Polytechnic University of Valencia explains the distribution of the sample mean. He begins by differentiating between the population and the sample and shows how to calculate the mean and standard deviation of a random sample. Through a practical case, using six strips of cardboard of different lengths, he shows how to add the lengths and divide them by the number of strips to obtain the mean, and how to calculate the variance and then the standard deviation from it. He continues by taking a random sample of two strips to demonstrate the calculation of the mean and standard deviation of this subsample, highlighting the variability of the statistics depending on which strips are selected. The importance of differentiating between population parameters and sample statistics is established, using Greek letters for the former and Latin letters for the latter. The video also discusses how the values ​​that the sample mean can take depend on the sampling method, whether with or without replacement, and how the probability that the sample mean will take on certain values ​​can be calculated. It concludes that the mean of the sampling distribution must coincide with the population mean and that its standard deviation is calculated based on the population standard deviation, the sample size, and the population size. Finally, it mentions that with larger samples, sampling distributions tend to approximate the normal distribution. Author: Camacho García Andrés #Sampling #population #sample #samplemean #replacement #1209 - Statistics
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Universitat Politècnica de València - UPV

381K subscribers