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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline2,3,4,6,7,82, 3, 4, 6, 7, 8\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?\newline2,3,4,6,7,82, 3, 4, 6, 7, 8\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data Set: Arrange the data set in ascending order and list it out.\newlineData set: 2,3,4,6,7,82, 3, 4, 6, 7, 8\newlineSince the data set is already in ascending order, we can proceed to find the median.
  2. Find Median: Find the median of the data set.\newlineThe data set has an even number of observations (66 numbers), so the median will be the average of the third and fourth values.\newlineMedian: (4+6)/2=10/2=5(4 + 6) / 2 = 10 / 2 = 5
  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 if it is not part of the data.\newlineFirst half is 22, 33, 44 (since we have an even number of observations, we do not include the median).
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineThe lower quartile is the median of the first half of the data set.\newlineSince there are 33 numbers, the lower quartile is the second number, which is 33.\newlineLower quartile =3= 3
  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 if it is not part of the data.\newlineSecond half is 6,7,86, 7, 8.
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineThe upper quartile is the median of the second half of the data set.\newlineSince there are 33 numbers, the upper quartile is the second number, which is 77.\newlineUpper quartile =7= 7

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