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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline17,21,33,37,40,41,54,68,9217, 21, 33, 37, 40, 41, 54, 68, 92\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?\newline17,21,33,37,40,41,54,68,9217, 21, 33, 37, 40, 41, 54, 68, 92\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order and list it out.\newlineThe data set is already in ascending order: 1717, 2121, 3333, 3737, 4040, 4141, 5454, 6868, 9292.
  2. Find Median: Find the median of the data set.\newlineThere are 99 numbers in the data set, which is an odd number, so the median will be the middle number. The middle number is the 55th number in the ordered list.\newlineMedian: 4040
  3. Identify Lower Quartile Data: Identify the data set for the lower quartile.\newlineFor the lower quartile, consider the first half of the data set, excluding the median. The first half is 17,21,33,3717, 21, 33, 37.\newlineLower quartile data: 17,21,33,3717, 21, 33, 37
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineThere are 44 numbers in the lower quartile data set, which is an even number, so the lower quartile will be the average of the middle two numbers.\newlineLower quartile: (21+33)/2=54/2=27(21 + 33) / 2 = 54 / 2 = 27
  5. Identify Upper Quartile Data: Identify the data set for the upper quartile.\newlineFor the upper quartile, consider the second half of the data set, excluding the median. The second half is 4141, 5454, 6868, 9292.\newlineUpper quartile data: 4141, 5454, 6868, 9292
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineThere are 44 numbers in the upper quartile data set, which is an even number, so the upper quartile will be the average of the middle two numbers.\newlineUpper quartile: (54+68)/2=122/2=61(54 + 68) / 2 = 122 / 2 = 61

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