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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline14,21,27,28,30,41,8414, 21, 27, 28, 30, 41, 84\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?\newline14,21,27,28,30,41,8414, 21, 27, 28, 30, 41, 84\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_
  1. Arrange Data Set: Arrange the data set in ascending order and list it out.\newlineData set: 14,21,27,28,30,41,8414, 21, 27, 28, 30, 41, 84\newlineThe data set is already in ascending order.
  2. Find Median: Find the median of the data set.\newlineThe median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 77 numbers, the median is the 44th number.\newlineMedian: 2828
  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 1414, 2121, 2727.\newlineLower quartile data: 1414, 2121, 2727
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineThe lower quartile is the median of the first half of the data set.\newlineLower quartile data: 1414, 2121, 2727\newlineThe median of this subset is 2121.\newlineLower quartile: 2121
  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 30,41,8430, 41, 84.\newlineUpper quartile data: 30,41,8430, 41, 84
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineThe upper quartile is the median of the second half of the data set.\newlineUpper quartile data: 3030, 4141, 8484\newlineThe median of this subset is 4141.\newlineUpper quartile: 4141
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2121\newlineMedian = 2828\newlineUpper quartile = 4141

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