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What is the standard deviation of the given dataset: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32?
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Solution: Step 1: Calculate the mean: (10 + 28 + 13 + 18 + 29 + 30 + 22 + 23 + 25 + 32) / 10 = 230 / 10 = 23 Step 2: Calculate the variance: ∑(x - mean)² = (13 + 25 + 10 + 25 + 36 + 49 + 1 + 0 + 4 + 81) = 244 Step 3: Standard deviation = √(variance / N) = √(244 / 10) = √24.4 = 7 Hence, the standard deviation of the data is 7
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