BUSINESS ADMINISTRATION
BUSINESS ANALYTICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Use technology to compute the standard deviation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
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5.96
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6.41
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5.42
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6.75
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Explanation:
Detailed explanation-1: -Given data: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32. Hence, ∑xi = 10 + 28 + 13 + 18 + 29 + 30 + 22 + 23 + 25 + 32 = 230. Hence, Mean, = 230/10 = 23. Hence, the standard deviation is 7.
Detailed explanation-2: -The standard deviation formula is, = √ ∑i=1n (xi – x̅)2 / N.
Detailed explanation-3: -To calculate the population standard deviation, we divide the sum by the number of data points (N). But to calculate the sample deviation, the total is divided by the number of data points minus 1 (N-1). Find the square root of the final figure to determine the standard deviation.
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