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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,2,4,4,5,5,6,9,9,9,91, 2, 4, 4, 5, 5, 6, 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?\newline1,2,4,4,5,5,6,9,9,9,91, 2, 4, 4, 5, 5, 6, 9, 9, 9, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange and Find Median: Arrange the data set in ascending order and find the median.\newlineThe data set is already in ascending order: 1,2,4,4,5,5,6,9,9,9,91, 2, 4, 4, 5, 5, 6, 9, 9, 9, 9.\newlineThere are 1111 numbers in the data set, so the median is the middle number, which is the 66th number in the sequence.\newlineMedian: 55
  2. 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 1,2,4,4,51, 2, 4, 4, 5.\newlineLower quartile data: 1,2,4,4,51, 2, 4, 4, 5
  3. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 1,2,4,4,51, 2, 4, 4, 5\newlineSince there are 55 numbers, the lower quartile is the middle number of this subset.\newlineLower quartile is 44.
  4. 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 5,6,9,9,9,95, 6, 9, 9, 9, 9.\newlineUpper quartile data: 5,6,9,9,9,95, 6, 9, 9, 9, 9
  5. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 5,6,9,9,9,95, 6, 9, 9, 9, 9\newlineSince there are 66 numbers, the upper quartile is the average of the middle two numbers.\newlineUpper quartile is (6+9)/2=15/2=7.5(6 + 9) / 2 = 15 / 2 = 7.5.
  6. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 44\newlineMedian = 55\newlineUpper quartile = 7.57.5

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