3. Example-3
3. Calculate Five number summary from the following data 3,13,11,15,5,4,2Solution:Five number summary :3,13,11,15,5,4,2Steps of Five-Number Summary Step-1: Arrange the numbers in ascending order2,3,4,5,11,13,15Step-2: Find the minimum valueMinimum =2 (the smallest number) Step-3: Find the maximum valueMaximum =15 (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 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. 2,3,4,5,11,13,15N=7 is odd, so median is the middle number at position 4 We have 5:. Median =5Step-5: Place parentheses around the numbers above and below the median.{2,3,4},5,{11,13,15}Step-6: Find Q_1 by finding the median for lower half of data(left of the median)2,3,4N=3 is odd, so median is the middle number at position 2 We have 3:.Q_1=3Step-7: Find Q_3 by finding the median for upper half of data(right of the median)11,13,15N=3 is odd, so median is the middle number at position 2 We have 13:.Q_3=13Step-8: Summary found in the above steps.Minimum =2Q_1=3Median =5Q_3=13Maximum =15
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