Question

The weights (in pounds) of 30 preschool children are listed below. Find the five-number summary. 25 29 25 26 26.5 27 27 27.5 28 28 28.5 29 30 30 30.5 31 31 32 32.5 32.5 33 34 34.5 35 35 37 37 38 38 33 O A. Min = 25, Q1 = 28, Q2 = 30.5, Q3 = 34, Max = 38 O B. Min = 25, Q1 = 27.5, Q2 = 30.5, Q3 = 33.5, Max = 38 C. Min = 25, Q1 = 28, Q2 = 30.75, Q3 = 34, Max = 38 D. Min = 25, Q. = 27.5, Q2 = 30.75, Q3 = 33, Max = 38

Answer 1

1)

Steps of Five-Number Summary Step-1: Arrange the numbers in ascending order 25, 25, 26, 26.5, 27, 27, 27.5, 28, 28, 28.5, 29,29,30,30,30.5, 31, 31, 32, 32.5, 32.5, 33, 33, 34, 34.5, 35, 35, 37, 37, 38, 38 Step-2: Find the minimum value Minimum = 25 (the smallest number) Step-3: Find the maximum value Maximum = 38 (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. 25, 25, 26, 26.5, 27, 27, 27.5, 28, 28, 28.5, 29, 29, 30, 30, 30.5, 31, 31, 32, 32.5, 32.5, 33, 33, 34, 34.5, 35, 35, 37, 37, 38, 38 N= 30 is even, so median is the average of the two middle numbers at position 15 and 16 30.5 + 31 We have = 30.75 2 :: Median = 30.75 Step-5: Place parentheses around the numbers above and below the median. {25, 25, 26, 26.5, 27, 27, 27.5, 28, 28, 28.5, 29, 29, 30, 30, 30.5}, {31, 31, 32, 32.5, 32.5, 33, 33, 34, 34.5, 35, 35, 37,37,38,38}

Step-6: Find Q, by finding the median for lower half of data(left of the median) 25, 25, 26, 26.5, 27, 27, 27.5.28,28,28.5, 29,29,30,30,30.5 N= 15 is odd, so median is the middle number at position 8 We have 28 Q1 = 28 Step-7: Find Q, by finding the median for upper half of data(right of the median) 31, 31, 32, 32.5, 32.5, 33, 33, 34, 34.5, 35, 35, 37, 37, 38, 38 N= 15 is odd, so median is the middle number at position 8 We have 34 ; = 34 Step-8: Summary found in the above steps. Minimum = 25 Q1 = 28 Median = 30.75 = 34 Maximum = 38

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