chapter 4 : Data Variation

2. Standard Deviation (SD)

Lesson Image


Standard deviation is the square root of the variance. It measures how far, on average, each value lies from the mean. Since it uses the same units as the data (unlike variance, which is in squared units), it’s easier to interpret.

Formula (Population):

Οƒ=Οƒ2\sigma = \sqrt{\sigma^2}Οƒ=Οƒ2​

Example:
Using the previous variance = 2
Standard deviation = √2 β‰ˆ 1.41

That means, on average, the values are about 1.41 units away from the mean.