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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,2,2,2,3,4,4,7,9,9,91, 2, 2, 2, 3, 4, 4, 7, 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?\newline1,2,2,2,3,4,4,7,9,9,91, 2, 2, 2, 3, 4, 4, 7, 9, 9, 9\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: 1,2,2,2,3,4,4,7,9,9,91, 2, 2, 2, 3, 4, 4, 7, 9, 9, 9\newlineThe data set is already in ascending order.
  2. Find Median: Find the median of the data set.\newlineThere are 1111 numbers in the data set, which is an odd number, so the median will be the middle number.\newlineTo find the middle number: (11+1)/2=6(11 + 1) / 2 = 6th number\newlineThe 66th number in the data set is 44.\newlineMedian: 44
  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's an odd number of data points.\newlineFirst half is 1,2,2,2,31, 2, 2, 2, 3.\newlineLower quartile data: 1,2,2,2,31, 2, 2, 2, 3
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 1,2,2,2,31, 2, 2, 2, 3\newlineThere are 55 numbers, which is an odd number, so the lower quartile will be the middle number.\newlineThe middle number is the 33rd number, which is 22.\newlineLower quartile: 22
  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's an odd number of data points.\newlineSecond half is 4,7,9,9,94, 7, 9, 9, 9.\newlineUpper quartile data: 4,7,9,9,94, 7, 9, 9, 9
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 4,7,9,9,94, 7, 9, 9, 9\newlineThere are 55 numbers, which is an odd number, so the upper quartile will be the middle number.\newlineThe middle number is the 33rd number, which is 99.\newlineUpper quartile: 99

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