{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Equations - Introductory Statistics Formulas N i =1...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Introductory Statistics – Formulas Population Mean : 1 = N i i x x x N N μ = = ; Sample Mean : 1 n i i x x x n n = = = Range : R = Maximum Value Minimum Value Quartile locations ( Minitab ): 1 2 3 ( 1) 2( 1) 3( 1) @ ; @ ; @ 4 4 4 n n n Q Q Q + + + . Quartile values: 1 . ( ) j i i i Q x dd x x + = + , where i is the integer portion of the quartile location and dd is the decimal portion of quartile location (i.e., if Q 3 @ 47.75, then i = 47 and . dd = 0.75). Interquartile range : IQR = Q 3 Q 1 Potential Outlier Limits : Lower Limit = Q 1 - 1.5 IQR ; Upper Limit = Q 3 + 1.5 IQR Population Variance : 2 2 ( ) x x x N μ σ = ; Pop. Standard Deviation : 2 ( ) x x x N μ σ = Population Standard Deviation (Short-cut formula): 2 2 x x x N σ μ = Sample Variance : 2 2 ( ) 1 x x x s n = ; Sample Standard Deviation : 2 ( ) 1 x x x s n = Sample Standard Deviation (short-cut formula) : ( ) 2 2 / 1 x x x n s n = Standardized Pop. Data Value : x x x z μ σ = ; Standardized Sample Data Value : x x x z s = T’s Theorem (Chebychev’s Rule) :
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern