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To find standard deviation, you need the value of either Σx and Σx^2 or Σ(x-50) and Σ(x-50)^2. Since we only have the latter, we have to solve the question using them.Can someone help me with the second part why are we subtracting 50 from 72?
Nov 2010 62View attachment 64597
We found Σ(x-50) and Σ(x-50)^2 in the first part... these coded total represents the value of Σx-50 which means that every data added to the set must have 50 subtracted from its value(this is the basis of coding - if you didn't know this, you should probably learn coding from scratch). Which is why when we add a data with value 72, it effectively has a value of 22 in the Σ(x-50) coding.
Edit: The alternative method would be to find Σx^2 using earlier standard deviation and value of Σx. In this case, you would add 72 to the coding since these are the original values. But this method is more time-consuming since you got to spend time finding the value of Σx^2.