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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline28,70,80,86,86,91,9928, 70, 80, 86, 86, 91, 99\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?\newline28,70,80,86,86,91,9928, 70, 80, 86, 86, 91, 99\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_
  1. Find the Median: Find the median of the data set.\newlineData set: 28,70,80,86,86,91,9928, 70, 80, 86, 86, 91, 99\newlineSince there are 77 numbers, the median is the fourth number.\newlineCalculation: Median =86= 86
  2. Lower Quartile Data Set: Identify the data set for the lower quartile.\newlineFor the lower quartile, consider the first half of the data set, excluding the median.\newlineFirst half: 2828, 7070, 8080\newlineCalculation: Lower quartile =Median of 28,70,80=70= \text{Median of } 28, 70, 80 = 70
  3. Upper Quartile Data Set: Identify the data set for the upper quartile.\newlineFor the upper quartile, consider the second half of the data set, excluding the median.\newlineSecond half: 8686, 9191, 9999\newlineCalculation: Upper quartile =Median of 86,91,99=91= \text{Median of } 86, 91, 99 = 91

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