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A) 67.2
Step 1: Understand the relationship between standard deviation and variance.
The variance (Ο2) is the square of the standard deviation (Ο).
Ο2=(Ο)2
Step 2: Substitute the given standard deviation into the formula.
Given standard deviation Ο=8.2.
Ο2=(8.2)2
Step 3: Calculate the variance.
Ο2=8.2Γ8.2
Ο2=67.24
Step 4: Compare the result with the given options.
The calculated variance is 67.24. Option A is 67.2, which is the closest value.
The final answer is A)67.2β.
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