0
Will the sample mean always correspond to one of the observations in the sample?
Wiki User
∙ 10y agoWant this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
What does the standard error mean?
For a sample of data it is a measure of the spread of the observations about their mean value.
What disadvantage are there of the mean deviations?
The mean deviation of a set of observations is always zero and so conveys no information whatsoever!
What do you mean when you say that the coefficient of variation has no units?
Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.) Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5. The units in the mean and standard deviation 'cancel out'-always.
What are quartiles in relationship to mean median mode?
Quartiles are values that divide a sample of data into four groups containing the same number of observations. You will find details in the related link.
Why wont a sample statistics change from sample to sample?
The sample mean may differ from the population mean, especially for small samples.
What does the standard error mean?
For a sample of data it is a measure of the spread of the observations about their mean value.
A sample of 24 observations is taken from a population that has 150 elements The sampling distribution of the mean is?
A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is
SUPPOSE WE study the CONTINUOUS VARIABLE: "REPAIR TIME of A machine, in MINUTES". where the POPULATION average IS 135MIN. A SAMPLE of 20 OBSERVATIONS of THAT VARIABLE IS TAKEN. IS possible for the SAMPLE MEAN TO BE EXACTLY EQUAL TO 135MIN?
Yes, it is possible for the sample mean to be exactly equal to 135 minutes. This is because the sample mean is calculated by dividing the sum of all the observations by the number of observations. Therefore, if the sum of all the observations is exactly equal to 2700 minutes (135 times 20), the sample mean would be 135 minutes. However, this is highly unlikely to happen.
What is the value of the standard error of the sample mean?
The sample standard deviation (s) divided by the square root of the number of observations in the sample (n).
A simple random sample of 64 observations was taken from a large population The sample mean and the standard deviation were determined to be 320 and 120 respectively The standard error of the mean you?
15
Why do you divide by instead of when calculating the sample variance?
Usually the sum of squared deviations from the mean is divided by n-1, where n is the number of observations in the sample.
Is population mean always larger than sample mean?
Yes
How do you find the degrees of freedom when using the t distribution to estimate or test the mean of a sample from a single population?
If the sample consisted of n observations, then the degrees of freedom is (n-1).
Will a population mean and sample mean always be identical?
The sample mean will seldom be the same as the population mean due to sampling error. See the related link.
Why does the standard error become smaller simply by increasing the sample size?
Because of the Law of Large Numbers. According to that law, the observations tends towards the mean. This increases the concentration of observations nears the mean thereby reducing the variance or standard error.
What disadvantage are there of the mean deviations?
The mean deviation of a set of observations is always zero and so conveys no information whatsoever!
What do you mean when you say that the coefficient of variation has no units?
Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.) Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5. The units in the mean and standard deviation 'cancel out'-always.
