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What is the formula for statistics?

September 10, 2024 | by Bloom Code Studio

Statistics Formula Sheet

The important statistics formulas are listed in the chart below:

Mean\(\begin{array}{l}\bar{x}=\frac{\sum x}{n}\end{array} \)x = Observations given
n = Total number of observations
MedianIf n is odd, then
M =\(\begin{array}{l}(\frac{n+1}{2})\end{array} \)\(\begin{array}{l}^{th}\end{array} \)term
If n is even, then
M =\(\begin{array}{l}\frac{(\frac{n}{2})^{th}term+(\frac{n}{2}+1)^{th}term}{2}\end{array} \)
n = Total number of observations
ModeThe value which occurs most frequently
Variance\(\begin{array}{l}\sigma ^{2}\end{array} \)=\(\begin{array}{l}\frac{\sum (x-\bar{x})^{2}}{n}\end{array} \)x = Observations given
\(\begin{array}{l}\bar{x}\end{array} \)= Mean
n = Total number of observations
Standard Deviation\(\begin{array}{l}S = \sigma = \sqrt{\frac{\sum (x-\bar{x})^{2}}{n}}\end{array} \)x = Observations given
\(\begin{array}{l}\bar{x}\end{array} \)= Mean
n = Total number of observations

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