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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline3,4,4,6,6,7,8,8,9,9,93, 4, 4, 6, 6, 7, 8, 8, 9, 9, 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?\newline3,4,4,6,6,7,8,8,9,9,93, 4, 4, 6, 6, 7, 8, 8, 9, 9, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data Set: Arrange the data set in ascending order and list it out.\newlineData set: 3,4,4,6,6,7,8,8,9,9,93, 4, 4, 6, 6, 7, 8, 8, 9, 9, 9\newlineThe data set is already in ascending order.
  2. Find Median: Find the median of the data set.\newlineThe data set has 1111 numbers, which is an odd number, so the median will be the middle number.\newlineTo find the middle number, use the formula: (n+1)/2(n + 1) / 2, where nn is the number of data points.\newline(11+1)/2=12/2=6(11 + 1) / 2 = 12 / 2 = 6\newlineThe 66th number in the data set is the median.\newlineMedian: 77
  3. Identify Lower Quartile: 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 is 3,4,4,6,63, 4, 4, 6, 6.\newlineLower quartile data: 3,4,4,6,63, 4, 4, 6, 6
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineLower quartile data: 3,4,4,6,63, 4, 4, 6, 6\newlineSince there are 55 numbers, the lower quartile will be the middle number of this subset.\newlineLower quartile is 44.
  5. Identify Upper Quartile: 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 is 8,8,9,9,98, 8, 9, 9, 9.\newlineUpper quartile data: 8,8,9,9,98, 8, 9, 9, 9
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineUpper quartile data: 8,8,9,9,98, 8, 9, 9, 9\newlineSince there are 55 numbers, the upper quartile will be the middle number of this subset.\newlineUpper quartile is 99.

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