Explanation Given: The data of time and margin is Year Time (h:m:s) Margin (m:s) 1999 91:32:16 7:37 2000 92:33:08 6:02 2001 86:17:28 6:44 2002 82:05:12 7:17 2003 83:41:12 1:01 2004 83:36:02 6:19 2005 86:15:02 4:40 Formula used: The formula for mean is by, x ¯ = ∑ j = 1 n x j n x ¯ = x 1 + x 2 + ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ + x n n Here, n is the total number of observation and ∑ j = 1 n x j is the sum of raw data. The formula for median is given by, If n is even, Median = ( n + 1 2 ) t h observation+ ( n 2 ) t h observation 2 If n is odd, Median = [ ( n + 1 2 ) t h ] observation Approach: The observation which has the highest frequency is the mode of given data. Calculation: Convert the time into seconds in the given table. Year Time (h:m:s) Time (in sec To determine (b) To find: The mean, median and mode of given set of data for margin.

8th Edition

ISBN: 9781305104174

Author: David B. Johnson, Thomas A. Mowry

Publisher: Cengage Learning

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Chapter 4.2, Problem 10E

To determine

(a)

To find:

The mean, median and mode of given set of data for time.

To determine

(b)

To find:

The mean, median and mode of given set of data for margin.

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Chapter 4.2, Problem 9E

Chapter 4.2, Problem 11E

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(a) To find: The mean, median and mode of given set of data for time.

Solution Summary: The author explains the formulas for the mean, median, and mode of a given set of data.