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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline1,2,2,5,6,6,91, 2, 2, 5, 6, 6, 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?\newline1,2,2,5,6,6,91, 2, 2, 5, 6, 6, 9\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange and Find Median: Arrange the data set in ascending order and find the median.\newlineThe data set is already in ascending order: 1,2,2,5,6,6,91, 2, 2, 5, 6, 6, 9.\newlineSince there are 77 numbers, the median is the middle number, which is the fourth number in the list.\newlineMedian: 55
  2. 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 1,2,21, 2, 2.\newlineLower quartile data: 1,2,21, 2, 2
  3. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 1,2,21, 2, 2\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is 22.
  4. 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 6,6,96, 6, 9.\newlineUpper quartile data: 6,6,96, 6, 9
  5. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 6,6,96, 6, 9\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is 66.
  6. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 22\newlineMedian = 55\newlineUpper quartile = 66

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