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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline18,21,23,39,43,53,64,74,8418, 21, 23, 39, 43, 53, 64, 74, 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?\newline18,21,23,39,43,53,64,74,8418, 21, 23, 39, 43, 53, 64, 74, 84\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: 18,21,23,39,43,53,64,74,8418, 21, 23, 39, 43, 53, 64, 74, 84.\newlineSince there are 99 numbers, the median is the middle number, which is the 55th number in the list.\newlineMedian: 4343
  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 1818, 2121, 2323, 3939.\newlineLower quartile data: 1818, 2121, 2323, 3939
  3. Find Lower Quartile Value: Find the value of the lower quartile.\newlineLower quartile data: 18,21,23,3918, 21, 23, 39\newlineFor an even number of observations, the lower quartile is the average of the middle two numbers.\newline(21+23)/2=44/2(21 + 23) / 2 = 44 / 2\newlineLower quartile = 2222
  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 53,64,74,8453, 64, 74, 84.\newlineUpper quartile data: 53,64,74,8453, 64, 74, 84
  5. Find Upper Quartile Value: Find the value of the upper quartile.\newlineUpper quartile data: 53,64,74,8453, 64, 74, 84\newlineFor an even number of observations, the upper quartile is the average of the middle two numbers.\newline(64+74)/2=138/2(64 + 74) / 2 = 138 / 2\newlineUpper quartile = 6969
  6. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2222\newlineMedian = 4343\newlineUpper quartile = 6969

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