Explain the difference between σand σx⃗.

Name: Problem 9, Chapter 12: Statistics Learning From Data
Uploaded: 2021-03-25T02:25:50-08:00
Duration: 2 min 8 s
Channel: Harsh Gadhiya
Description: Explain the difference between σand σx⃗.

step 1 Now we have to find, now we have to explain the difference between summation of xIYI, summation

Question

Explain the difference between $\sigma$ and $\sigma_{\vec{x}}$.

   Explain the difference between $\sigma$ and $\sigma_{\vec{x}}$.

Statistics Learning From Data

Thomas H. Short,… 2nd Edition

Chapter 12, Problem 9

Instant Answer

Solved by Expert Harsh Gadhiya

03/25/2021

Step 1

It is a measure of the amount of variation or dispersion in the data. In other words, it tells us how spread out the values are from the mean. Show more…

Show all steps

Thanks for your feedback!

Explain the difference between $\sigma$ and $\sigma_{\vec{x}}$.

Play audio

Feedback

Harsh Gadhiya and 55 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Sigma Algebra

A sigma algebra is a collection of subsets of a given set that is closed under the formation of complements and countable unions (and hence countable intersections). It forms the backbone of measure theory, providing the structure within which measures (and thus probabilities) are defined. This concept is essential in ensuring that operations on sets, such as taking limits or unions, remain within a framework that supports consistent measure assignment.

Generated Sigma Algebra

A generated sigma algebra, often denoted as ?? when associated with a particular random variable or vector x, is the smallest sigma algebra that contains a given collection of subsets or events related to x. It encapsulates all the information that the random variable carries, effectively making x measurable with respect to that sigma algebra. This concept is crucial for formalizing ideas such as conditional expectation and understanding what can be deduced from the values of x.

Please give Ace some feedback