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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,2,2,2,4,4,6,71, 2, 2, 2, 4, 4, 6, 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?\newline1,2,2,2,4,4,6,71, 2, 2, 2, 4, 4, 6, 7\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.\newlineData set: 1,2,2,2,4,4,6,71, 2, 2, 2, 4, 4, 6, 7\newlineThe data set is already in ascending order.
  2. Find Median: Find the median of the data set.\newlineSince there are 88 numbers, the median will be the average of the 44th and 55th numbers.\newlineMedian: (2+4)/2=6/2=3(2 + 4) / 2 = 6 / 2 = 3
  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 if it is part of the data.\newlineFirst half is 1,2,2,21, 2, 2, 2.\newlineLower quartile data: 1,2,2,21, 2, 2, 2
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineSince there are 44 numbers in the lower quartile data set, the lower quartile will be the average of the 22nd and 33rd numbers.\newlineLower quartile: (2+2)/2=4/2=2(2 + 2) / 2 = 4 / 2 = 2
  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 if it is part of the data.\newlineSecond half is 4,4,6,74, 4, 6, 7.\newlineUpper quartile data: 4,4,6,74, 4, 6, 7
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineSince there are 44 numbers in the upper quartile data set, the upper quartile will be the average of the 22nd and 33rd numbers.\newlineUpper quartile: (4+6)/2=10/2=5(4 + 6) / 2 = 10 / 2 = 5
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 22\newlineMedian = 33\newlineUpper quartile = 55

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