Question
upstudy study bank question image url

Part 3 of 5 Calculate the Pearson's index of skewness. (Round the mean, median and standard deviation to one decimal place and Pearson's index to two decima places.) It can be concluded that the distribution is (Choose one) not significantly significantly

Ask by Bush Harris. in the United States
Mar 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The Pearson's index of skewness is 0, indicating that the distribution is not significantly skewed.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To calculate Pearson's index of skewness, you'll use the formula: \( \text{Skewness} = 3 \times \left( \frac{\text{Mean} - \text{Median}}{\text{Standard Deviation}} \right) \). Once you've rounded your mean, median, and standard deviation to one decimal place, plug those values into the formula. If the skewness value is close to 0, the distribution is symmetric; if it's positive, it leans right, and if negative, it leans left. A skewness of more than 0.50 or less than -0.50 is typically considered significant. Real-world applications of skewness can be found in fields like finance, where understanding the distribution of asset returns helps gauge risk. For instance, if a mutual fund has a positively skewed return distribution, it might have a few large gains that could offset the smaller, more frequent losses, affecting investment strategies. Recognizing skewness can guide investors in making informed decisions, especially in volatile markets.

Related Questions

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy