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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline6,7,7,8,8,9,96, 7, 7, 8, 8, 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?\newline6,7,7,8,8,9,96, 7, 7, 8, 8, 9, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data Set: Arrange the data set in ascending order if it is not already sorted.\newlineThe given data set is: 6,7,7,8,8,9,96, 7, 7, 8, 8, 9, 9\newlineIt is already in ascending order, so no need to sort it.
  2. Find Median: Find the median of the data set.\newlineThe data set has 77 numbers, which is an odd number, so the median will be the middle number.\newlineTo find the middle number, we use the formula: (n+1)/2(n + 1) / 2, where nn is the number of observations.\newline(7+1)/2=8/2=4(7 + 1) / 2 = 8 / 2 = 4\newlineThe fourth number in the data set is the median.\newlineMedian: 88
  3. Lower Quartile Data: 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 6,7,76, 7, 7 (the first three numbers).\newlineLower quartile data: 6,7,76, 7, 7
  4. Find Lower Quartile: Find the value of the lower quartile.\newlineLower quartile data: 6,7,76, 7, 7\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is the median of the first half, which is the second number.\newlineLower quartile: 77
  5. Upper Quartile Data: 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 8,9,98, 9, 9 (the last three numbers).\newlineUpper quartile data: 8,9,98, 9, 9
  6. Find Upper Quartile: Find the value of the upper quartile.\newlineUpper quartile data: 8,9,98, 9, 9\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is the median of the second half, which is the second number.\newlineUpper quartile: 99
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 77\newlineMedian = 88\newlineUpper quartile = 99

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