How To Calculate Standard Deviation in Statistics (EASY & FAST)

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  • čas přidán 27. 06. 2024
  • This tutorial is a short but comprehensive guide on understanding the concept of standard deviation in statistics. The standard deviation quantifies how much the values of a variable tend to differ from the mean, aka. average value. A large standard deviation indicates a large spread, while a small standard deviation represents a smaller spread.
    Mathematically, the standard deviation is the square root of the average of the squared differences from the mean for each individual. I will explain standard deviation in much simpler terms and will guide you step by step through an easy to follow example.
    The calculation of standard deviation consists of five steps:
    1 - calculate the mean of your sample
    2 - square individual differences from the mean
    3 - sum up the squared differences from the mean
    4 - calculate the average squared difference (= variance)
    5 - take the square root of the average squared difference
    Furthermore, I will highlight the difference between sample standard deviation and population standard deviation and explain why a bias correction is necessary for the latter.
    ⏰ Timestamp
    =============
    0:00 Introduction
    0:07 Textbook defintion of standard deviation
    0:35 Example
    0:48 1 - Calculate the mean of your sample
    1:39 2 - Square individual differences from the mean
    1:52 3 - Sum up the squared differences from the mean
    2:05 4 - Calculate the average squared difference (= variance)
    2:37 5 - Take the square root of the average squared difference
    2:48 Interpretation of standard deviation
    3:17 Two versions of standard deviation
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