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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline38,52,52,65,74,90,9038, 52, 52, 65, 74, 90, 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?\newline38,52,52,65,74,90,9038, 52, 52, 65, 74, 90, 90\newlinelower quartile = _____\newlinemedian = _____\newlineupper quartile = _____
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.\newlineThe given data set is already in ascending order: 38,52,52,65,74,90,9038, 52, 52, 65, 74, 90, 90.
  2. Find Median: Find the median of the data set.\newlineThe data set has 77 numbers, so the median is the middle number, which is the fourth number in the list.\newlineMedian: 6565
  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 if it is a part of the data.\newlineFirst half is 3838, 5252, 5252.\newlineLower quartile data: 3838, 5252, 5252
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 3838, 5252, 5252\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is 5252.
  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 if it is a part of the data.\newlineSecond half is 7474, 9090, 9090.\newlineUpper quartile data: 7474, 9090, 9090
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 7474, 9090, 9090\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is 9090.
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 5252\newlineMedian = 6565\newlineUpper quartile = 9090

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