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 • 622 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

How TextRanch works

Fast and reliable proofreading, editing, and language advice tailored to your needs.

1. Choose Your Service

Quick Text Editing

Emails and short texts
Proofreading & editing
Ready in 5-10 minutes

SUBMIT YOUR TEXT NOW

Document Editing

Documents of any type (*.docx)
Advanced & Premium editing
Ready in as little as 4 hours

UPLOAD YOUR DOCUMENT

Ask an Editor

Personalized answers to your language questions
Expert guidance on grammar, style, and usage
Ready in 24 hours

ASK YOUR QUESTION

Upload your document or paste your text directly into our platform. Your text is reviewed and refined by our expert editors (real people, not machines) who understand the nuances of English. Expect corrections, improvements, and insightful suggestions that enhance the clarity, tone, and professionalism of your writing.

3. Receive Your Polished Text

In just a few minutes (or hours for longer documents), you'll receive your corrected text. Review the changes, make any final adjustments, and confidently share your polished English with the world.
You can count on a personalized, friendly service every time you use TextRanch. We're committed to helping you make a great impression with every word you write.

We proofread and edit these types of texts and documents:

Short texts Business Emails Personal Emails Social media posts Resume and Curriculum Vitae Business documents Sales proposal Research and academic papers Thesis Dissertation Essays Articles Blog posts and much more....

Why choose TextRanch?

Complete Privacy

Your texts are safe and secure with us. We never share your information with third parties.

Affordable Pricing

No subscription fees and rates up to 50% cheaper than other online editing services.

100% Satisfaction

We guarantee that you'll be satisfied with the quality of our service or your money back.

Top Customer Service

Our team is here to help you with any questions you may have. Contact us anytime.

Our Customers Love Us!

We have an average rating of 4.79 stars based on 283125 votes, and

4.9 Excellent - Reviews 2.137

"7 years without any disappointment. Always 100% satisfied. You guys are the best in the world at what you do. Thank you so much :)"

Zubair
from Bangladesh

"I wasn't aware of this service, it's fascinating and more reliable than standard IA tools available on the internet"

Arturo
from Mexico

"In a world of text messages and online communication, this is great to have as a live tool. Thank you."

Selena
from USA

"Wow, it's just so excellent. I never would have believed I could have a sure and excellent English companion. Thanks, TextRanch."

Ifiok
from Nigeria

"This is my first time using TextRanch, and I like how the editors take time to correct my text. To everyone who has never used TextRanch before, I highly recommend trying it."

Wilson
from France

"It is an amazing source of feedback because, as a non-native speaker, I really need to have a reliable helper correct my text."

Susan
from Germany

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