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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline11,22,24,26,29,4511, 22, 24, 26, 29, 45\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?\newline11,22,24,26,29,4511, 22, 24, 26, 29, 45\newlinelower quartile==____\_\_\_\_\newlinemedian==____\_\_\_\_\newlineupper quartile==____\_\_\_\_
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.\newlineData set: 11,22,24,26,29,4511, 22, 24, 26, 29, 45\newlineThe data set is already in ascending order.
  2. Find Median: Find the median of the data set.\newlineSince there are 66 numbers, the median will be the average of the 33rd and 44th numbers.\newlineMedian = (24+26)/2=50/2=25(24 + 26) / 2 = 50 / 2 = 25
  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 not part of the data points.\newlineFirst half is 1111, 2222, 2424.\newlineLower quartile data: 1111, 2222, 2424
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineSince there are 33 numbers in the lower half, the lower quartile is the middle number.\newlineLower quartile =22= 22
  5. Identify Upper Quartile Data: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if it is not part of the data points. Second half is 2626, 2929, 4545. Upper quartile data: 2626, 2929, 4545
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineSince there are 33 numbers in the upper half, the upper quartile is the middle number.\newlineUpper quartile =29= 29
  7. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2222\newlineMedian = 2525\newlineUpper quartile = 2929

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