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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,1,3,4,5,8,81, 1, 3, 4, 5, 8, 8\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?\newline1,1,3,4,5,8,81, 1, 3, 4, 5, 8, 8\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.\newlineThe given data set is already in ascending order: 1,1,3,4,5,8,81, 1, 3, 4, 5, 8, 8.
  2. Find Median: Find the median of the data set.\newlineThe data set has 77 numbers, so the median is the middle number, which is the fourth number in the list.\newlineMedian: 44
  3. Identify Lower Quartile Data: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if the number of data points is odd. First half is 1,1,31, 1, 3. Lower quartile data: 1,1,31, 1, 3
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineThe lower quartile data set 1,1,31, 1, 3 has an odd number of observations, so the lower quartile is the middle number.\newlineLower quartile: 11
  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 the number of data points is odd.\newlineSecond half is 5,8,85, 8, 8.\newlineUpper quartile data: 5,8,85, 8, 8
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineThe upper quartile data set 5,8,85, 8, 8 has an odd number of observations, so the upper quartile is the middle number.\newlineUpper quartile: 88
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 11\newlineMedian = 44\newlineUpper quartile = 88

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