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In the data set below, what are the lower quartile, the median, and the upper quartile?\newline10,14,14,14,17,17,18,64,65,65,6610, 14, 14, 14, 17, 17, 18, 64, 65, 65, 66\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?\newline10,14,14,14,17,17,18,64,65,65,6610, 14, 14, 14, 17, 17, 18, 64, 65, 65, 66\newlinelower quartile==__\_\_\newlinemedian==__\_\_\newlineupper quartile==__\_\_
  1. Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted.\newlineThe data set is already in ascending order: 10,14,14,14,17,17,18,64,65,65,6610, 14, 14, 14, 17, 17, 18, 64, 65, 65, 66.
  2. Find Median: Find the median of the data set.\newlineThere are 1111 numbers in the data set, so the median will be the 66th number (since (11+1)/2=6(11 + 1) / 2 = 6).\newlineThe median is 1717.
  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 a part of the data.\newlineFirst half is 1010, 1414, 1414, 1414, 1717.
  4. Find Lower Quartile Value: Find the value of the lower quartile.\newlineThere are 55 numbers in the first half, so the lower quartile will be the 33rd number (since (5+1)/2=3(5 + 1) / 2 = 3).\newlineThe lower quartile is 1414.
  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 is a part of the data.\newlineSecond half is 1717, 1818, 6464, 6565, 6565, 6666.
  6. Find Upper Quartile Value: Find the value of the upper quartile.\newlineThere are 66 numbers in the second half, so the upper quartile will be the average of the 33rd and 44th numbers (since (6+1)/2=3.5(6 + 1) / 2 = 3.5, we average the 33rd and 44th numbers).\newlineThe upper quartile is (64+65)/2=64.5(64 + 65) / 2 = 64.5.

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