Question: calculating standard deviation the standard deviation is used to tell...
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CALCULATING STANDARD DEVIATION
The standard deviation is used to tell how far on average any data point is from the mean.
The standard deviation is calculated to find the average distance from the mean.
Practice Problem #1: Calculate the standard deviation of the following test data by hand. Use the chart below to record the steps.
Test Scores: 23, 99, 100, 36, 57, 76, 100, 81, 64, 29
Mean:_____________ N :_______________
Test Score |
Difference from the mean (Y- Y) |
(Difference from the mean) (Y– Y)^{2} |
Sum of (Difference from the mean) ∑(Y – Y) |
Sum of (Difference from the Mean) divided by degrees of freedom (N – 1 ):_______ This is called variance.
Final Step:
Standard deviation = square root of what you just calculated (variance).
Standard deviation =
_______________.