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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline16,43,45,46,62,72,82,9716, 43, 45, 46, 62, 72, 82, 97\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?\newline16,43,45,46,62,72,82,9716, 43, 45, 46, 62, 72, 82, 97\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_
  1. Identify Median Calculation: Step 11: Identify the median of the data set 16,43,45,46,62,72,82,9716, 43, 45, 46, 62, 72, 82, 97. Since there are 88 numbers, the median will be the average of the 44th and 55th numbers. Calculation: (46+62)/2=108/2=54(46 + 62) / 2 = 108 / 2 = 54.
  2. Identify Lower Quartile Calculation: Step 22: Identify the data set for the lower quartile.\newlineThe lower quartile will be the median of the first half of the data set (16,43,45,46)(16, 43, 45, 46).\newlineCalculation: Since there are 44 numbers, the median is the average of the 2nd2^{\text{nd}} and 3rd3^{\text{rd}} numbers.\newline(43+45)/2=88/2=44(43 + 45) / 2 = 88 / 2 = 44.
  3. Identify Upper Quartile Calculation: Step 33: Identify the data set for the upper quartile.\newlineThe upper quartile will be the median of the second half of the data set (62,72,82,97)(62, 72, 82, 97).\newlineCalculation: Since there are 44 numbers, the median is the average of the 2nd2^{\text{nd}} and 3rd3^{\text{rd}} numbers.\newline(72+82)/2=154/2=77(72 + 82) / 2 = 154 / 2 = 77.

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