In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step
1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
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The standard deviation of a dataset is the square root of the variance.
The standard deviation of the same set of data is 4
The variance is given as:
Take the square root of both sides to calculate the standard deviation
Substitute 16 for .
So, we have:
Take the positive square root of 16
Hence, the standard deviation of the same set of data is 4
Read more about standard deviations at: