Explanation Given Information: The values are 47.61cm; 48.23cm; 47.92cm; 47.81cm. Formula used: Steps to find standard deviation: Step 1: Calculate the mean of the values mean = sumofvalues numberofvalues Step 2: find the difference between each value and mean. Step 3: square the difference obtained and then calculate the sum of squared amounts. Step 4: put the value in formula: s = sumof ( values-mean ) 2 n Calculation: Consider the values 47.61cm; 48.23cm; 47.92cm; 47.81cm. Step 1: Add all the values 47.61 cm + 48.23 cm + 47.92 cm + 47.81 cm = 191 .57cm Step 2: Divide the sum of all the values by the number of values Sum of the values is 191.57 cm and total number of values are 4. So, mean will be mean = sumofvalues numberofvalues = 191.57 4 = 47.89 Step 2: find the difference between each value and mean. The difference of the values and mean: 47.61 − 47.89 = − 0.28 48.23 − 47.89 = 0.34 47.92 − 47.89 = 0.03 47.81 − 47.89 = − 0

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 15.7, Problem 31E

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To calculate: The standard deviation of the values 47.61cm; 48.23cm; 47.92cm; 47.81cm.

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Chapter 15.7, Problem 30E

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The standard deviation of the values 47.61cm; 48.23cm; 47.92cm; 47.81cm.

Solution Summary: The author calculates the standard deviation of the values: 47.61cm; 48.23

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To calculate: The standard deviation of the values 47.61cm; 48.23cm; 47.92cm; 47.81cm.

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