It is a value calculated from the sample values only.It is a value calculated from the sample values only.It is a value calculated from the sample values only.It is a value calculated from the sample values only.
The Coefficient of Variation is a ratio showing the degree to which individual points of data in a sample deviate from the mean. It is calculated by taking the standard deviation of the sample and dividing that by the mean of the sample. It can be useful for comparing different data sets because it is a ratio (or percentage) and not an absolute number.
"The advantage is that the mean takes every value into account. A disadvantage is that it can be affected by extreme values. " The mean or more properly the "arithmetic mean" of a sample will eventually approximate the mean of the distribution of the population as the sample size increases. If the population distribution is skewed (not symmetrical), the mode and median will not provide an estimate of the mean, even as the sample size becomes large.
The sample mean may differ from the population mean, especially for small samples.
The grand mean can only be calculated if the three samples are of equal size. In this case, the grand mean is the mean of the three sample means. In this case, it would be (10+20+15)/3 = 15. However, in the sample sizes are not equal you must take the weighted mean. One option would be to assign, to each of the three means, an importance that reflects its sample size. So, if in the above example, the sample sizes were a, b and c the grand mean would be (10a + 20b + 15c)/(a+b+c) It is easy to show that the grand mean becomes the mean of the three sample means when a = b = c.
The population mean is the mean calculated over every member of the set of subjects being studied. It is usually not available and a survey is used to find an estimate for the population mean. The mean value of the variable in question, calculated from only the subjects included in the sample (or survey) is the sample mean. Provided some basic statistical requirements are met, the sample mean is a "good" estimate of the population mean.
It is a value calculated from the sample values only.It is a value calculated from the sample values only.It is a value calculated from the sample values only.It is a value calculated from the sample values only.
Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.
i mean conclucion
It means that every member of the population has the same probability of being included in the sample.
A numerical value calculated for a sample is called a descriptive statistic.
It means that the every element in a population has an equal chance of being selected to be in the sample which is studied. Equivalently, in considering a sample of a particular size, every possible sample of that size has the same chance of being selected.
The Coefficient of Variation is a ratio showing the degree to which individual points of data in a sample deviate from the mean. It is calculated by taking the standard deviation of the sample and dividing that by the mean of the sample. It can be useful for comparing different data sets because it is a ratio (or percentage) and not an absolute number.
The single quantity compared to an entire sample is called a statistic. It is a numerical measurement calculated from the data in the sample, such as the mean, median, or standard deviation. The statistic provides insight into the characteristics or properties of the sample as a whole.
Your question is a bit difficult to understand. I will rephrase: In hypothesis testing, when the sample mean is close to the assumed mean of the population (null hypotheses), what does that tell you? Answer: For a given sample size n and an alpha value, the closer the calculated mean is to the assumed mean of the population, the higher chance that null hypothesis will not be rejected in favor of the alternative hypothesis.
A statistic is a value calculated from a data sample. For example, the mean (average) is a statistic. You calculate the mean by adding up the values of the data you have and dividing by the number of values. Usually, you want to know the corresponding value for the whole population but this is impossible to obtain in practice. So you have to use a statistic calculated from a sample. For eaxmple, if you want to know the height of sixteen year old students in the UK, you cannot measure every single student. So you measure a sample (selected randomly), and calculate the average height of the sample. This is a statistic. See: http://www.stats.gla.ac.uk/steps/glossary/basic_definitions.html#stat
With a good sample, the sample mean gets closer to the population mean.