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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline11,11,20,22,30,42,46,56,60,64,7411, 11, 20, 22, 30, 42, 46, 56, 60, 64, 74\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?\newline11,11,20,22,30,42,46,56,60,64,7411, 11, 20, 22, 30, 42, 46, 56, 60, 64, 74\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Find Median: Arrange the data set in ascending order and find the median.\newlineThe data set is already in ascending order: 11,11,20,22,30,42,46,56,60,64,7411, 11, 20, 22, 30, 42, 46, 56, 60, 64, 74.\newlineSince there are 1111 numbers, the median is the 66th number (as it is the middle value).\newlineMedian: 4242
  2. 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 11,11,20,22,3011, 11, 20, 22, 30.\newlineLower quartile data: 11,11,20,22,3011, 11, 20, 22, 30
  3. Calculate Lower Quartile: Find the value of the lower quartile.\newlineLower quartile data: 11,11,20,22,3011, 11, 20, 22, 30\newlineFor an odd number of observations, the median is the middle number.\newlineLower quartile is the median of the first half, which is 2020.
  4. 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 46,56,60,64,7446, 56, 60, 64, 74.\newlineUpper quartile data: 46,56,60,64,7446, 56, 60, 64, 74
  5. Calculate Upper Quartile: Find the value of the upper quartile.\newlineUpper quartile data: 46,56,60,64,7446, 56, 60, 64, 74\newlineFor an odd number of observations, the median is the middle number.\newlineUpper quartile is the median of the second half, which is 6060.
  6. Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile.\newlineLower quartile = 2020\newlineMedian = 4242\newlineUpper quartile = 6060

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