(a) Explanation Given: The group of Data Items, 60,60,62,65,65,65,66,67,70,70 and Mean is 65. Formula used: s = ( x − x ¯ ) 2 n − 1 d e v i a t i o n f r o m m e a n = ( x − x ¯ ) Where; s denotes Standard Deviation, x denotes data item, x ¯ denotes mean and n denotes number of data items. Mean X ¯= ∑ x n Calculation: The Measure of Dispersion assist in describing the spread related to data items comprises in data set. The Standard Deviation is one of the Measures of Dispersion and it is dependent on the sum of data items. It is calculated by recognizing the value of each data item differentiates from the mean. The symbol to represent Standard Deviation is‘ s ’. The formula to calculate the Standard Deviation is as shown below: s = ( x − x ¯ ) 2 n − 1 Compute the deviation for data item 60 as follows: (b) To determine To calculate: The Sum of Deviations.

6th Edition

ISBN: 9780321867322

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 12.3, Problem 10E

(a)

To determine

To calculate: The Deviation from the given data items.

(b)

To determine

To calculate: The Sum of Deviations.

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Chapter 12.3, Problem 9E

Chapter 12.3, Problem 11E

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The Deviation from the given data items.

Solution Summary: The author explains the Measure of Dispersion, which is dependent on the sum of data items. The symbol to represent Standard Deviation is s.