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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline2,2,2,3,4,8,92, 2, 2, 3, 4, 8, 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?\newline2,2,2,3,4,8,92, 2, 2, 3, 4, 8, 9\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_
  1. Question Prompt: Question prompt: What are the lower quartile, the median, and the upper quartile of the given data set?
  2. Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.\newlineThe given data set is already in ascending order: 2,2,2,3,4,8,92, 2, 2, 3, 4, 8, 9.
  3. 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 sequence.\newlineMedian: 33
  4. 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 the data set has an odd number of observations.\newlineFirst half is 2,2,22, 2, 2.\newlineLower quartile data: 2,2,22, 2, 2
  5. Find Lower Quartile: Find the value of the lower quartile.\newlineSince there are 33 numbers in the lower quartile data set, the lower quartile is the middle number.\newlineLower quartile: 22
  6. 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 data set has an odd number of observations.\newlineSecond half is 4,8,94, 8, 9.\newlineUpper quartile data: 4,8,94, 8, 9
  7. Find Upper Quartile: Find the value of the upper quartile.\newlineSince there are 33 numbers in the upper quartile data set, the upper quartile is the middle number.\newlineUpper quartile: 88
  8. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 22\newlineMedian = 33\newlineUpper quartile = 88

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