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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,3,3,4,6,6,8,91, 3, 3, 4, 6, 6, 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?\newline1,3,3,4,6,6,8,91, 3, 3, 4, 6, 6, 8, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 1,3,3,4,6,6,8,91, 3, 3, 4, 6, 6, 8, 9.
  2. Arrange and Count: Arrange the data set in ascending order (if not already) and count the number of data points.\newlineData set: 1,3,3,4,6,6,8,91, 3, 3, 4, 6, 6, 8, 9\newlineNumber of data points: 88
  3. Calculate Median Position: Calculate the median position using the formula (n+1)/2(n + 1) / 2, where nn is the number of data points.\newlineMedian position: (8+1)/2=4.5(8 + 1) / 2 = 4.5\newlineSince the position is not a whole number, the median will be the average of the 44th and 55th data points.
  4. Find Median: Find the median by averaging the 44th and 55th data points.\newline44th data point: 44\newline55th data point: 66\newlineMedian: (4+6)/2=5(4 + 6) / 2 = 5
  5. Identify Lower Quartile Data Set: Identify the data set for the lower quartile, which is the first half of the data set excluding the median if it's a data point.\newlineLower quartile data set: 1,3,3,41, 3, 3, 4
  6. Calculate Lower Quartile: Calculate the lower quartile, which is the median of the lower quartile data set.\newlineSince there are 44 data points, the lower quartile is the average of the 22nd and 33rd data points.\newline22nd data point: 33\newline33rd data point: 33\newlineLower quartile: (3+3)/2=3(3 + 3) / 2 = 3
  7. Identify Upper Quartile Data Set: Identify the data set for the upper quartile, which is the second half of the data set excluding the median if it's a data point.\newlineUpper quartile data set: 6,6,8,96, 6, 8, 9
  8. Calculate Upper Quartile: Calculate the upper quartile, which is the median of the upper quartile data set.\newlineSince there are 44 data points, the upper quartile is the average of the 22nd and 33rd data points.\newline22nd data point: 66\newline33rd data point: 88\newlineUpper quartile: (6+8)/2=7(6 + 8) / 2 = 7

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