the mean and the standard deviation of vs the mean and standard deviation of

Both phrases are correct, but they are used in slightly different contexts. The phrase 'the mean and the standard deviation of' is used when referring to specific values, while 'the mean and standard deviation of' is used when discussing these statistical measures more generally.

Last updated: March 17, 2024 • 634 views

This phrase is correct and commonly used when referring to specific values of the mean and standard deviation.

"the mean and the standard deviation of "

This phrase is used when you want to specify the particular values of the mean and standard deviation for a set of data.

Examples:

Calculate the mean and the standard deviation of the data set.
The mean and the standard deviation of the sample were calculated.
Find the mean and the standard deviation of the population.
What are the mean and the standard deviation of the test scores?
The mean and the standard deviation of the measurements were recorded.

Show examples from the web [+]

The mean and the standard deviation of a set of data are descriptive statistics usually reported together. In a certain sense, the standard deviation is a "natural" ...
The Normal distribution is represented by a family of curves defined uniquely by two parameters, which are the mean and the standard deviation of the ...
Use them to find the probability distribution, the mean, and the standard deviation of the sample mean X - . Solution. The following table shows all possible ...
Apr 22, 2014 ... Use them to find the probability distribution, the mean, and the standard deviation of the sample mean X−−. Solution. The following table shows ...

Alternatives:

the mean and standard deviation of
the mean and the standard deviation for

This phrase is correct and commonly used when discussing mean and standard deviation in a more general sense.

"the mean and standard deviation of "

This phrase is used when you are talking about mean and standard deviation in a broader context without specifying particular values.

Examples:

Understanding the concept of the mean and standard deviation of a data set is important.
The mean and standard deviation of a normal distribution have specific properties.
Teaching students about the mean and standard deviation of a sample is essential.
Research has shown the relationship between the mean and standard deviation of a population.
The mean and standard deviation of a set of measurements can provide valuable insights.

Show examples from the web [+]

Then the mean and standard deviation of heights of American adults could be calculated as: \begin{align} \mu &= \frac{N\cdot70 +. For the more general case of ...
It's "possible" to take 100 samples that give you EXACTLY the mean and standard deviation of the new distribution. You just can't know for certain that you ...
Consequently, if we know the mean and standard deviation of a set of observations, we can obtain some useful information by simple arithmetic. By putting one ...
You know the mean and standard deviation of the population. You take a sample from this population and compute the 90% confidence interval for the mean.

Alternatives:

the mean and the standard deviation of
the mean and standard deviation for

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the mean and the standard deviation of vs the mean and standard deviation of