Define if the distribution is normal or not

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Discussion Overview

The discussion revolves around determining whether a given distribution is normal based on numerical data presented in a table. Participants explore various methods and tests to assess the normality of the distribution, including visual and statistical approaches.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant mentions a screenshot indicating that "the distribution appears to be bimodal," suggesting the presence of two peaks in the data.
  • Another participant questions the context of the data and introduces the concepts of hypothesis testing and chi-square distributions as potential frameworks for analysis.
  • A different participant suggests using the Shapiro–Wilk test as a method to assess normality.
  • Another approach proposed includes using Q-Q plots or a Chi-squared goodness of fit test, emphasizing the importance of calculating the sample mean and standard error, and considering the percentage of data within certain standard errors from the mean.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method to determine normality, and multiple competing views and approaches remain in the discussion.

Contextual Notes

Some methods mentioned may depend on specific assumptions about the data, such as sample size and distribution characteristics, which are not fully explored in the discussion.

Vital
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Hello.

I wonder how to see if the distribution is normal or not based on the numbers in the table. I attach the screenshot with the table, and it is written that "the distribution appears to be bimodal", so it appears to have two peaks. I understand the the question sounds silly, but I truly don't now how to determine this.

https://drive.google.com/file/d/1YwawScq_rWjd0CzY2FUsIG8dnaJBgfQC/view?usp=sharing

Thank you.
 
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What is it we are looking at ?

Ever hear of hypothesis testing or chi square distributions ?

Template something for you ?
 
You can also do Q-Q plots or a Chi-squared goodness of fit by finding sample mean and standard error
orand considering the percent of data within 1,2,3 s.e from the sample mean, altho maybe the Q-Q plot does this too.
 

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