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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline11,27,29,40,50,57,77,85,86,86,9011, 27, 29, 40, 50, 57, 77, 85, 86, 86, 90\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?\newline11,27,29,40,50,57,77,85,86,86,9011, 27, 29, 40, 50, 57, 77, 85, 86, 86, 90\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange data in ascending order: Arrange the data set in ascending order and list it out.\newlineData set: 11,27,29,40,50,57,77,85,86,86,9011, 27, 29, 40, 50, 57, 77, 85, 86, 86, 90\newlineThe data set is already in ascending order.
  2. Find median: Find the median of the data set.\newlineSince there are 1111 numbers, the median will be the 66th number (as (11+1)/2=6(11 + 1) / 2 = 6).\newlineMedian: 5757
  3. Identify 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 11,27,29,40,5011, 27, 29, 40, 50.\newlineLower quartile data: 11,27,29,40,5011, 27, 29, 40, 50
  4. Find lower quartile value: Find the value of the lower quartile.\newlineSince there are 55 numbers in the lower quartile data set, the lower quartile will be the 33rd number (as (5+1)/2=3(5 + 1) / 2 = 3).\newlineLower quartile: 2929
  5. Identify 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 77,85,86,86,9077, 85, 86, 86, 90.\newlineUpper quartile data: 77,85,86,86,9077, 85, 86, 86, 90
  6. Find upper quartile value: Find the value of the upper quartile.\newlineSince there are 55 numbers in the upper quartile data set, the upper quartile will be the 33rd number (as (5+1)/2=3(5 + 1) / 2 = 3).\newlineUpper quartile: 8686
  7. Write quartile values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2929\newlineMedian = 5757\newlineUpper quartile = 8686

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