Calculate Five number summary from the following data78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80Solution:Five number summary :78, 81, 80, 81, 81, 82, 76, 77, 80, 73, 77, 75, 75, 80, 78, 80Steps of Five-Number SummaryStep-1: Arrange the numbers in ascending order73, 75, 75, 76, 77, 77, 78, 78, 80, 80, 80, 80, 81, 81, 81, 82Step-2: Find the minimum valueMinimum = 73 (the smallest number)Step-3: Find the maximum valueMaximum = 82 (the largest number)Step-4: Find the medianThe median is the middle number in a sorted data set and N is the total number of elementsIf 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, 82N = 16 is even, so median is the average of the two middle numbers at position 8 and 9 78 + 80We have79: Median = 79Step-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, 78N = 8 is even, so median is the average of the two middle numbers at position 4 and 576 + 77We have76.5· Qq = 76.5

From the given data we find the 5 number summary.

Answered: Calculate Five number summary from the…

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:

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.9: Dividing Real Numbers

Problem 8E

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Question

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

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