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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline15,32,41,64,73,73,74,75,81,84,9015, 32, 41, 64, 73, 73, 74, 75, 81, 84, 90\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____

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Q. In the data set below, what are the lower quartile, the median, and the upper quartile?\newline15,32,41,64,73,73,74,75,81,84,9015, 32, 41, 64, 73, 73, 74, 75, 81, 84, 90\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____
  1. Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 15,32,41,64,73,73,74,75,81,84,9015, 32, 41, 64, 73, 73, 74, 75, 81, 84, 90. Since there are 1111 numbers, the median is the middle number, which is the 66th number in the list. Median: 7373
  2. Identify Lower Quartile: Identify the data set for the lower quartile.\newlineFor the lower quartile, consider the first half of the data set, excluding the median.\newlineFirst half is 15,32,41,64,7315, 32, 41, 64, 73.\newlineLower quartile data: 15,32,41,64,7315, 32, 41, 64, 73
  3. Find Lower Quartile: Find the value of the lower quartile.\newlineLower quartile data: 15,32,41,64,7315, 32, 41, 64, 73\newlineSince there are 55 numbers, the lower quartile is the middle number, which is the 33rd number in the list.\newlineLower quartile: 4141
  4. Identify Upper Quartile: Identify the data set for the upper quartile.\newlineFor the upper quartile, consider the second half of the data set, excluding the median.\newlineSecond half is 73,74,75,81,84,9073, 74, 75, 81, 84, 90.\newlineUpper quartile data: 73,74,75,81,84,9073, 74, 75, 81, 84, 90
  5. Find Upper Quartile: Find the value of the upper quartile.\newlineUpper quartile data: 73,74,75,81,84,9073, 74, 75, 81, 84, 90\newlineSince there are 66 numbers, we take the average of the 33rd and 44th numbers in the list.\newlineUpper quartile: (75+81)/2=156/2=78(75 + 81) / 2 = 156 / 2 = 78
  6. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 4141\newlineMedian = 7373\newlineUpper quartile = 7878

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