Normal Distribution: Apply It 3

  • Understand the properties, characteristics, and importance of a normal distribution in statistical analysis.
  • Explain how changing the mean and standard deviation will change the characteristics of a normal curve.

A diagram of a family tree, starting a great grandparent. It then branches into grandparent and great aunt or uncle. From the grandparent box, it goes into parent and aunt or uncle. From parent it goes to you, and aunt or uncle it goes to 1st cousin. After great aunt or uncle, it goes to 1st cousin once removed. Following that is a second cousin.[1]

We can also inverse the problem. What if we are given the probability and are asked to find the corresponding value?

Steps on how to find the corresponding value (percentile):

Step 1: Click on the Find Percentile/Quartile tab at the top.

Step 2: Type in the Mean [latex]\mu[/latex] and Standard Deviation [latex]\sigma[/latex] given in the question.

Step 3: Choose Lower Tail if we are looking for the bottom percent. Choose Upper Tail if we are looking for the top percent.

Step 4: Type in the Probability in lower tail/upper tail in [latex]\%[/latex] form.

Step 5: The corresponding value can be found in the [latex]x[/latex]-axis of the graph of under Percentile in the table.

 

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  1. https://www.rd.com/article/second-cousin-once-removed/ ↵