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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline13,21,21,33,43,55,63,66,95,9913, 21, 21, 33, 43, 55, 63, 66, 95, 99\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?\newline13,21,21,33,43,55,63,66,95,9913, 21, 21, 33, 43, 55, 63, 66, 95, 99\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile for the given data set: 13,21,21,33,43,55,63,66,95,9913, 21, 21, 33, 43, 55, 63, 66, 95, 99.
  2. Arrange and Find Median: Arrange the data set in ascending order (if not already) and find the median (the middle value). The data set is already in ascending order: 13,21,21,33,43,55,63,66,95,9913, 21, 21, 33, 43, 55, 63, 66, 95, 99. Since there are 1010 numbers, the median will be the average of the 55th and 66th numbers. Median: (43+55)/2=98/2=49(43 + 55) / 2 = 98 / 2 = 49.
  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's part of the data.\newlineFirst half is 13,21,21,33,4313, 21, 21, 33, 43.\newlineLower quartile data: 13,21,21,33,4313, 21, 21, 33, 43.
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 13,21,21,33,4313, 21, 21, 33, 43.\newlineFor an odd number of observations, the lower quartile is the middle number.\newlineLower quartile is 2121.
  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's part of the data.\newlineSecond half is 55,63,66,95,9955, 63, 66, 95, 99.\newlineUpper quartile data: 55,63,66,95,9955, 63, 66, 95, 99.
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 55,63,66,95,9955, 63, 66, 95, 99.\newlineFor an odd number of observations, the upper quartile is the middle number.\newlineUpper quartile is 6666.
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2121\newlineMedian = 4949\newlineUpper quartile = 6666

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