Statistics

PUBLISHED: MAY 2, 2026•1 MIN READ

StatisticsMean ():Deviation from the Mean:Deviation of :Median / ModeMedian (Even ):Mode: The number with the highest occurrence.Example:15, 19, 16, 15, 13, 15,

Abhishek Singh Rajput
Abhishek SinghAuthor
gastly
#092
gastly

Statistics

  • Mean ():
xˉ=x1+x2+x3+…+xnn=1n∑i=1nxi\bar{x}=\frac{x_1+x_2+x_3+\ldots+x_{n}}{n}=\frac{1}{n}\sum_{i=1}^{n}x_{i}
  • Deviation from the Mean:
xi−xˉx_i - \bar{x}
  • Deviation of :
Dev(xi)=xi−xˉDev(x_i) = x_i - \bar{x}

Median / Mode

Median (Even ):

Mode: The number with the highest occurrence.

Example:

15, 19, 16, 15, 13, 15, 12, 10, 5 = 15

Variance

  • Deviation of :
  • Sum of squares of Deviation (SS):
  • Population Variance:
  • Sample Variance:

Simplified Variance Formulas

Expanded variance formula: