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In the data set below, what are the lower quartile, the median, and the upper quartile? 1,2,2,2,2,4,4,5,7,71,2,2,2,2,4,4,5,7,7 lower quartile = ‾\underline{\hspace{1cm}} median = ‾\underline{\hspace{1cm}} upper quartile = ‾\underline{\hspace{1cm}}

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Q. In the data set below, what are the lower quartile, the median, and the upper quartile? 1,2,2,2,2,4,4,5,7,71,2,2,2,2,4,4,5,7,7 lower quartile = ‾\underline{\hspace{1cm}} median = ‾\underline{\hspace{1cm}} upper quartile = ‾\underline{\hspace{1cm}}
  1. Arrange Data Set: Arrange the data set in ascending order if it's not already sorted.\newlineData set: 1,2,2,2,2,4,4,5,7,71,2,2,2,2,4,4,5,7,7
  2. Find Median: Find the median of the data set.\newlineSince there are 1010 numbers, the median will be the average of the 55th and 66th numbers.\newlineMedian: (2+4)/2=6/2=3(2 + 4) / 2 = 6 / 2 = 3
  3. Identify Lower Quartile: Identify the data set for the lower quartile.\newlineThe lower half of the data set (excluding the median) is 1,2,2,2,21,2,2,2,2.
  4. Find Lower Quartile: Find the lower quartile.\newlineThe lower quartile is the median of the lower half of the data set.\newlineLower quartile: 22 (since it's the middle number of the first half)
  5. Identify Upper Quartile: Identify the data set for the upper quartile.\newlineThe upper half of the data set (excluding the median) is 4,4,5,7,74,4,5,7,7.
  6. Find Upper Quartile: Find the upper quartile.\newlineThe upper quartile is the median of the upper half of the data set.\newlineUpper quartile: 55 (since it's the middle number of the second half)

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