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Calculate Five number summary from the following data 78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80 Solution:

Calculate Five number summary from the following data 78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80 Solution:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Calculate Five number summary from the following data 78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80 Solution: Five number summary : 78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80 Steps of Five-Number Summary Step-1: Arrange the numbers in ascending order 73, 75, 75, 76, 77, 77, 78, 78, 80, 80, 80, 80, 81, 81, 81, 82 Step-2: Find the minimum value Minimum = 73 (the smallest number) Step-3: Find the maximum value Maximum = 82 (the largest number) Step-4: Find the median The median is the middle number in a sorted data set and N is the total number of elements If N is odd then the median is a single middle number, and if N is even then the median is the average of the two middle numbers. 73, 75, 75, 76, 77, 77, 78, 78, 80, 80, 80, 80, 81, 81, 81, 82 N = 16 is even, so median is the average of the two middle numbers at position 8 and 9
Transcribed Image Text:Calculate Five number summary from the following data 78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80 Solution: Five number summary : 78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80 Steps of Five-Number Summary Step-1: Arrange the numbers in ascending order 73, 75, 75, 76, 77, 77, 78, 78, 80, 80, 80, 80, 81, 81, 81, 82 Step-2: Find the minimum value Minimum = 73 (the smallest number) Step-3: Find the maximum value Maximum = 82 (the largest number) Step-4: Find the median The median is the middle number in a sorted data set and N is the total number of elements If N is odd then the median is a single middle number, and if N is even then the median is the average of the two middle numbers. 73, 75, 75, 76, 77, 77, 78, 78, 80, 80, 80, 80, 81, 81, 81, 82 N = 16 is even, so median is the average of the two middle numbers at position 8 and 9
78 + 80 We have 79 : Median = 79 Step-5: Place parentheses around the numbers above and below the median. {73, 75, 75, 76, 77, 77, 78, 78}, {80, 80, 80, 80, 81, 81, 81, 82} Step-6: Find Q, by finding the median for lower half of data(left of the median) 73, 75, 75, 76, 77, 77, 78, 78 N = 8 is even, so median is the average of the two middle numbers at position 4 and 5 76 + 77 We have 76.5 · Qq = 76.5
Transcribed Image Text:78 + 80 We have 79 : Median = 79 Step-5: Place parentheses around the numbers above and below the median. {73, 75, 75, 76, 77, 77, 78, 78}, {80, 80, 80, 80, 81, 81, 81, 82} Step-6: Find Q, by finding the median for lower half of data(left of the median) 73, 75, 75, 76, 77, 77, 78, 78 N = 8 is even, so median is the average of the two middle numbers at position 4 and 5 76 + 77 We have 76.5 · Qq = 76.5
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