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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline2,2,2,4,5,5,9,9,9,9,92, 2, 2, 4, 5, 5, 9, 9, 9, 9, 9\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?\newline2,2,2,4,5,5,9,9,9,9,92, 2, 2, 4, 5, 5, 9, 9, 9, 9, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.\newlineThe data set is already in ascending order: 2,2,2,4,5,5,9,9,9,9,92, 2, 2, 4, 5, 5, 9, 9, 9, 9, 9.
  2. Find Median: Find the median of the data set.\newlineThere are 1111 numbers in the data set, so the median will be the 66th number (since (11+1)/2=6(11 + 1) / 2 = 6).\newlineThe 66th number is 55.\newlineMedian =5= 5.
  3. 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 a part of the data.\newlineFirst half is 2,2,2,4,52, 2, 2, 4, 5 (the first five numbers).\newlineLower quartile data: 2,2,2,4,52, 2, 2, 4, 5.
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineSince there are 55 numbers in the lower quartile data set, the lower quartile will be the 33rd number (since (5+1)/2=3(5 + 1) / 2 = 3).\newlineThe 33rd number is 22.\newlineLower quartile = 22.
  5. 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 a part of the data.\newlineSecond half is 5,9,9,9,9,95, 9, 9, 9, 9, 9 (the last six numbers, including the median since it is part of the data).\newlineUpper quartile data: 5,9,9,9,9,95, 9, 9, 9, 9, 9.
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineSince there are 66 numbers in the upper quartile data set, the upper quartile will be the average of the 33rd and 44th numbers (since (6/2)=3(6 / 2) = 3).\newlineThe 33rd and 44th numbers are both 99.\newline(9+9)/2=9(9 + 9) / 2 = 9.\newlineUpper quartile = 99.
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 22\newlineMedian = 55\newlineUpper quartile = 99

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