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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline3,4,5,7,7,73, 4, 5, 7, 7, 7\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?\newline3,4,5,7,7,73, 4, 5, 7, 7, 7\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____
  1. Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 3,4,5,7,7,73, 4, 5, 7, 7, 7.
  2. Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 3,4,5,7,7,73, 4, 5, 7, 7, 7.
  3. Find Median: Find the median of the data set. Since there are 66 numbers, the median will be the average of the 33rd and 44th numbers.\newlineMedian = (5+7)/2=12/2=6(5 + 7) / 2 = 12 / 2 = 6.
  4. Lower Quartile Data: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if it is a single number. Since we have an even number of observations, we include both the 3rd3^{\text{rd}} and 4th4^{\text{th}} numbers.\newlineLower quartile data: 3,4,53, 4, 5.
  5. Find Lower Quartile: Find the value of the lower quartile. Since there are 33 numbers in the lower quartile data set, the lower quartile is the middle number.\newlineLower quartile = 44.
  6. Upper Quartile Data: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if it is a single number. Since we have an even number of observations, we include both the 33rd and 44th numbers.\newlineUpper quartile data: 55, 77, 77.
  7. Find Upper Quartile: Find the value of the upper quartile. Since there are 33 numbers in the upper quartile data set, the upper quartile is the middle number.\newlineUpper quartile =7= 7.

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